how many men did cortez have at his disposal? this is the total number of soldiers and sailors combined

Answers

Answer 1

Hernán Cortés had around 600 men, including soldiers and sailors, under his command during the Spanish conquest of the Aztec Empire.

Hernán Cortés led the Spanish conquest of the Aztec Empire in the early 16th century. The size of his expeditionary force varied over time, but at its peak, it is estimated that he had about 600 men under his command, including soldiers and sailors.

When Cortés first set out from Cuba to explore the mainland of Mexico in 1519, he had a force of about 600 men, including 11 ships with sailors and about 100 soldiers. However, some of his soldiers were left behind to establish a settlement on the coast, reducing his fighting force to around 500 men.

As Cortés made his way inland, he was able to recruit more indigenous allies to his cause, which increased his overall fighting strength. By the time he reached the Aztec capital of Tenochtitlan in 1521, he had an army of around 80,000 men, including native allies, although the core of his fighting force was still made up of Spanish soldiers and sailors.

Learn more about Hernán Cortés here

brainly.com/question/1614195

#SPJ4


Related Questions

quartile and decile for ungrouped data

Answers

A) Quartile 1 (Q1): 2, Quartile 2 (Q2): 6, Quartile 3 (Q3): 7, Decile 1 (D1): 1, Decile 2 (D2): 2, Decile 3 (D3): 3, Decile 4 (D4): 7

B) Quartile 1 (Q1): 11, Quartile 2 (Q2): 14, Quartile 3 (Q3): 16, Decile 1 (D1): 11, Decile 2 (D2): 12, Decile 3 (D3): 14, Decile 4 (D4): 17

C) Quartile 1 (Q1): 77, Quartile 2 (Q2): 85, Quartile 3 (Q3): 94, Decile 1 (D1): 71, Decile 2 (D2): 81, Decile 3 (D3): 87, Decile 4 (D4): 98

D) Quartile 1 (Q1): 42, Quartile 2 (Q2): 66, Quartile 3 (Q3): 86, Decile 1 (D1): 28, Decile 2 (D2): 42, Decile 3 (D3): 57, Decile 4 (D4): 98

E) Quartile 1 (Q1): 100, Quartile 2 (Q2): 117, Quartile 3 (Q3): 133, Decile 1 (D1): 33, Decile 2 (D2): 100, Decile 3 (D3): 111, Decile 4 (D4): 147

F) Quartile 1 (Q1): 113, Quartile 2 (Q2): 126, Quartile 3 (Q3): 146, Decile 1 (D1): 110, Decile 2 (D2): 113, Decile 3 (D3): 121, Decile 4 (D4): 848

What is number?

Number is an important part of mathematics, and it is used in virtually every aspect of life.

A) First, we need to arrange the data in order:

[1,1,2,2,2,2,2,3,3,3,3,4,5,6,6,7,7,7,7,9,9]

The median is the middle value of the data set. Since there are 21 values, the median is the average of the [tex]$10^{th}$[/tex] and [tex]$11^{th}$[/tex] values, which is 6.

The first quartile [tex]$Q_1$[/tex] is the median of the lower half of the data set. The lower half of the data set is [1,1,2,2,2,2,2,3,3,3], which has 10 values. The median of this set is the average of the [tex]$5^{th}$[/tex]and [tex]$6^{th}$[/tex] values, which is 2.

The third quartile[tex]$Q_3$[/tex]is the median of the upper half of the data set. The upper half of the data set is [4,5,6,6,7,7,7,7,9,9], which also has 10 values. The median of this set is the average of the[tex]$5^{th}$[/tex] and[tex]$6^{th}$[/tex]values, which is 7.

The interquartile range (IQR) is the difference between the third and first quartiles: IQR =[tex]Q_3[/tex] - [tex]Q_1[/tex]= 7 - 2 = 5.

To find the deciles, we need to divide the data into $10$ equal parts. Since we have 21 data points, we need to find the values that divide the data into groups of $2$. The [tex]$k^{th}$[/tex] decile[tex]$D_k$[/tex] is the[tex]$k \cdot n/10$-th[/tex] value, where $n$ is the number of data points. The deciles are:

$D_1 = 1, D_2 = 2, D_3 = 2, D_4 = 2, D_5 = 3,$

$D_6 = 6, D_7 = 7, D_8 = 7, D_9 = 9$

B) Again, we need to arrange the data in order:

$10,11,12,12,14,14,14,15,15,15,15,16,16,16,17,17,14,14$

The median is the average of the[tex]$9^{th}$[/tex] and[tex]$10^{th}$[/tex] values, which is $15$.

The first quartile $Q_1$ is the average of the[tex]$4^{th}$[/tex] and [tex]$5^{th}$[/tex]values, which is $14$.

The third quartile $Q_3$ is the average of the [tex]$14^{th}$[/tex] and [tex]$15^{th}$[/tex]values, which is $16$.

The interquartile range (IQR) is [[tex]Q_3[/tex] - [tex]Q_1[/tex]= 16 - 14 = 2].

To find the deciles, we need to divide the data into [10] equal parts. Since we have 18 data points, we need to find the values that divide the data into groups of 2. The deciles are:

[[tex]D_1[/tex]= 10, D_2 = 12, D_3 = 14, D_4 = 14, D_5 = 14,]

[[tex]D_6[/tex]= 15, D_7 = 15, D_8 = 16, D_9 = 17]

From the above calculation, it can be seen that the quartiles and deciles of each set of data differ.

This is due to the different values of the data sets and the number of data points in each set.

The quartiles and deciles show different ranges and values which indicate the spread of the data and also help to identify any skewness in the data.

Summarizing, the quartiles and deciles provide an important measure of the spread of the data, helping to identify any outliers or skewness.

To know more about The interquartile range (IQR)  visit:

brainly.com/question/31190938

#SPJ1

Please help with finding the answer

Answers

The two missing points on the line are:

(0, -1)

(-5, 0)

And the slope, using these points, is a = -1/5

How to find the missing y-values and the slope?

Remember that a general linear equation is:

y = ax + b

Where a is the slope and b is the y-intercept.

If that line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can look at line e and find the two missing y-values, for the first point we have:

(0, -1)

For the second point we have:

(-5, 0)

Using these two, we will get the slope:

a = (0 + 1)/(-5 - 0) = -1/5

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

The circle graph represents the jobs at a digital animation company with1,620 employees. How many more story artists are there than ​?

Answers

263 more story artists are there than ​interns.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

From the pie chart we see that the story artists constitute 20% of the total employee strength of 1540 employees and the interns constitute only 5% of that number

In actual values

Number of story artists = 1620 x 20% = 1620 x 20/100 = 324

Number of interns = 1620 x 5% = 1620 x 5/100 = 81

Difference = 324 - 81 = 263

Hence, 263 more story artists are there than ​interns.

To know more about percentage visit:

https://brainly.com/question/24877689

#SPJ9

Complete question:

The circle graph represents the jobs at a digital animation company with 1,620 employees. How many more story artists are there than interns​?

See the image attached.

the null hypothesis is (typically) rejected, when select one: a. the p-value is less than or equal to .5. b. the p-value is less than or equal to .05. c. the p-value exceeds .05. d. the p-value exceeds .5.

Answers

The null hypothesis is (typically) rejected, when (b) the p-value is less than or equal to .05.

In hypothesis testing, the Null-Hypothesis represents the default assumption,

whereas the alternative hypothesis represents the claim made by the researcher.

The "p-value" is defined as a probability metric which indicates the likelihood of observing the data, given that the null hypothesis is true.

If the p-value is small (less than or equal to .05), it means that it is unlikely to observe the data, assuming the null hypothesis is true.

Therefore, a p-value less than or equal to .05 is considered statistically significant, and the null hypothesis is typically rejected, the correct option is (b).

Learn more about Null Hypothesis here

https://brainly.com/question/28920252

#SPJ4

The given question is incomplete, the complete question is

The null hypothesis is (typically) rejected, when select one:

(a) the p-value is less than or equal to .5

(b) the p-value is less than or equal to .05

(c) the p-value exceeds .05

(d) the p-value exceeds .5

rico's mixing water and milk in the ratio 20 : 1

Answers

The total volume of the mixture obtained by Rico when he mixes 20 liters of milk with water in a ratio of 20:1 is 21 liters.

When a ratio of 20:1 is given for milk and water, it means that for every 20 parts of milk, there is 1 part of water. Therefore, the total number of parts in the mixture is 20 + 1 = 21.

We know that Rico mixed 20 liters of milk, which represents 20 parts of the mixture. To find the corresponding volume of water, we can use the ratio given.

The ratio of milk to water is 20:1, which means that for every 20 parts of milk, there is 1 part of water. Thus, the volume of water in the mixture is [tex]\frac{1}{20}[/tex] of the total volume of the mixture.

Volume of water = [tex]\frac{1}{20}[/tex] x Total volume of the mixture

Since we know that the volume of milk is 20 liters, we can substitute that value in the equation to solve for the total volume of the mixture:

20 = ([tex]\frac{20}{21}[/tex]) x Total volume of the mixture

Total volume of the mixture = (20 × 21) ÷ 20

= 420 ÷ 20

= 21 liters

To learn more about volume follow the link:

https://brainly.com/question/1578538

#SPJ1

The complete question is:

What is the total volume of the mixture obtained by Rico when he mixes 20 liters of milk with water in a ratio of 20:1?

Find the answer and explain

Answers

Answer:

660cm^2

Step-by-step explanation:

area of 2 triangle= 10×12

= 120cm^2

area of 3 rectangles= (13×15×2)+(10×15)

= 390+150

= 540cm^2

surface area of triangular prism

= 540+120

= 660cm^2

Savannah recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 5
Bass 12
Drums 14
Keyboard 4
Eighth Grade Students
Instrument # of Students
Guitar 12
Bass 5
Drums 10
Keyboard 8

Based on these results, express the probability that a student chosen at random will play the drums as a percent to the nearest whole number.

Answers

The probability that a student chosen at random plays the drums is approximately 34%.

What is probability?

The probability of an event is a figure that represents how probable it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place. A certain event has a chance of 1, while an impossible event has a probability of 0.

The total number of students in the middle school who play the drums is 14 + 10 = 24.

The total number of students in the middle school is:

5 + 12 + 14 + 4 + 12 + 5 + 10 + 8 = 70

The probability of selecting a student who plays the drums at random is:

24/70 = 0.34285714285714286

To express this probability as a percentage, we multiply by 100 and round to the nearest whole number:

0.34285714285714286 * 100 ≈ 34

Therefore, the probability that a student chosen at random plays the drums is approximately 34%.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ1

Trapezoid ABCD is formed when right triangle EAB is cut by line DC such that DC || AB. Find the volume of the solid generated when the trapezoid is rotated about side DA. Round your answers to the nearest tenth if necessary.

Answers

The volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

According  to the given information:

Given:

DC = 7

DA = 6

DE = 6

AB = 14

Height of the trapezoid:

ED = (DC/AB) * EA = (7/14) * EA = 0.5 * EA

Height = EA - ED = EA - 0.5 * EA = 0.5 * EA

Circumference of the cylindrical shell:

Circumference = 2 * π * AB = 2 * π * 14

Thickness of the cylindrical shell:

Since the trapezoid is being rotated about side DA, the thickness (Δx) will vary along DA. We'll integrate with respect to x from 0 to 6 (the length of DA).

Volume of the solid generated:

Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * EA * Δx]

Substituting EA = DE + DA = 6 + 6 = 12Volume = ∫(0 to 6) [2 * π * 14 * 0.5 * 12 * Δx]

Integrating:

Volume = 2 * π * 14 * 0.5 * 12 * [x] from 0 to 6

Volume = 2 * π * 14 * 0.5 * 12 * (6 - 0)

Volume = 504 * π

Approximating to the nearest tenth:

Volume ≈ 504 * 3.14 ≈ 1586.6 cubic units (rounded to the nearest tenth)

Therefore, the volume of the solid generated when the trapezoid is rotated about side DA is approximately 1586.6 cubic units (rounded to the nearest tenth).

To know more about volume visit :

https://brainly.com/question/463363

#SPJ1

a forecast is defined as a(n) . a. quantitative method used when historical data on the variable of interest are either unavailable or not applicable b. prediction of future values of a time series c. outcome of a random experiment

Answers

A forecast is defined as a(n) prediction of future values of a time series which is option B.

Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Companies use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Often, this is based on the anticipated demand for the provided goods and services.

Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.

To predict how trends, like as the GDP or unemployment, will change in the upcoming quarter or year, equity analysts utilise forecasting. Lastly, statisticians may examine the probable effects of a change in business operations via forecasting. Data may be gathered, for example, on how altering company hours affects consumer happiness or how changing particular work conditions affects staff productivity.

Learn more about Forecast:

https://brainly.com/question/29023834

#SPJ4

y=log(2x+c) for what values of x will the log be positive

Answers

For the logarithm to be positive, the argument of the logarithm (i.e., 2x+c) must be greater than zero.

Solve the inequality 2x+c > 0 for x:

2x > -c

x > -c/2

Therefore, for x > -c/2, the logarithm Y=log(2x+c) will be positive.

if lines ax-2y=5 and 2x-by =8 intersect at point (11,3), find the value of a and b

Answers

Answer:

To find the values of a and b, we need to substitute the coordinates of the given point (11,3) into both equations and solve for a and b.

Substituting (11,3) into the first equation ax-2y=5:

a(11)-2(3)=5

11a-6=5

11a=11

a=1

Substituting (11,3) into the second equation 2x-by =8:

2(11)-b(3)=8

22-3b=8

-3b=-14

b=14/3

Therefore, a=1 and b=14/3.

Answer:

a = 1

b = 4.67 OR 14/3

Step-by-step explanation:

ax - 2y = 5

a(11) - 2(3) = 5

11a - 6 = 5

11a = 11

a = 1

2x - by = 8

2(11) - b(3) = 8

22 - 3b = 8

3b = 14

b = 4.67 OR 14/3

the residual plots from two different sets of bivariate data are graphed below. explain, using evidence from graph a and graph b which graph indicates

Answers

According to the evidence from graph a and graph b, graph a indicates that the model for the data was a good fit because it is a random.

Hence, the correct option is B.

Based on graph a, the residual plot shows a random scattering of points around the horizontal line at y=0. This indicates that the residuals (the differences between the observed and predicted values) are distributed randomly and do not show any clear pattern. This suggests that the data points are evenly distributed around the regression line, indicating a good fit for a linear regression model.

On the other hand, graph b shows a residual plot with a clear pattern or trend. The residuals are not randomly scattered, but instead show a curved pattern or a fan-like shape. This indicates that the model used to fit the data may not be appropriate, as it is not capturing the underlying relationship between the variables accurately.

Hence, the correct option is B.

To know more about good fit here

https://brainly.com/question/30681544

#SPJ4

-- The given question is incomplete, the complete question is

"The residual plots from two different sets of bivariate data are graphed below. Explain, using evidence from graph a and graph b which graph indicates that the model for the data was a good fit and what is the reason?

A. Graph A because it is symmetrical

B. Graph A because it is random

C. Graph B because there is a pattern

D. Graph B because it is symmetrical" --

i need help to solve these questions step by step, PLEASEEE THIS DUES TODAY

Answers

9. 3(2r+s) (r+s)
10. x(3x+4) (2x-3
11. 8mn^2 (m-n) (m - 3n)
12. 3(5x - 2y)(2x + y)
13. x(2x - 1)(x + 3

hope this helps
10.

6x^3 - x^2 -12x

Let’s go ahead and factor out an x:

x ( 6x^2 - x - 12)

Rewrite the 1st degree x as a difference of two values that have similar factors to 6 and 12:

x ( 6x^2 + 8x - 9x - 12 )

Factor out 2x from ( 6x^2 + 8x ):

x ( 2x ( 3x + 4) (-9x - 12) )

Factor out -3 from ( -9x - 12 ) to get the same:

x ( 2x ( 3x + 4 ) - 3 ( 3x + 4) )

Group these for your final factored form:

x (2x -3) (3x+4)

11.

Right off the bat, 8 is a factor of both 32 and 24, so divide these leading coefficients by 8:

8m^3n^2 - 32m^2n^3 + 24mn^4

m^3n^2 - 4m^2n^3 + 3mn^4

Factor out one m:

m ( m^2n^2 - 4mn^3 + 3n^4)

Now factor out an n^2:

mn^2 ( m^2 - 4mn + 3n^2)

This is the final factored form.

13.

Factor out an x:

x (2x^2 + 5x - 3)

Rewrite 5x as a difference of two terms that will factor well with 2 and 3:

x ( 2x^2 + 6x - x - 3)

Now factor out a 2x:

x ( 2x ( x + 3 ) - x - 3 )

Now factor the other part so that what’s left matches the previous factor:

x ( 2x (x + 3) -1 (x +3) )

Now group these for the final factored form:

x ( 2x - 1 ) ( x + 3 )

Jose worked for 12 hours each day for 7 days. Then the next day he worked 8 hours. How many hours did Jose work in all?

Answers

Answer:

92 hours

Step-by-step explanation:

7 * 12 + 8 = 92

14. assuming p-value is 0.03, what is the conclusion of testing at the 0.10 level of significance whether the fruit drink distributor should sell this drink? a. based on the sample data, there isn't sufficient evidence to conclude that the average rating is more than 4.75. b. based on the sample data, there isn't sufficient evidence to conclude that the average rating is no more than 4.75. c. based on the sample data, there is sufficient evidence to conclude that the average rating is no more than 4.75. d. based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75. e. none of the above.

Answers

Based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75, thus the correct option is (d). The question is related to hypothesis testing in statistics.

If the p-value is 0.03 and the level of significance is 0.10, we reject the null hypothesis if the p-value is less than 0.10.

Since the null hypothesis is not specified in the question, we assume that it is that the average rating of the fruit drink is no more than 4.75.

Therefore, if the p-value is less than 0.10, we would reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the average rating of the fruit drink is more than 4.75.

Since the p-value, in this case, is 0.03, which is less than the level of significance of 0.10, we would reject the null hypothesis and conclude that based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75.

Therefore, the correct answer is (d) based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75.

Learn more about hypothesis testing at

brainly.com/question/30588452

#SPJ4

What is the increasing and decreasing?!?!?!?!?!?!?!??!?!?!?!?!?!

Answers

Answer:

Function decreasing: where x is (-4; 0) and (2; 4)

Function increasing: where x is (0; 2)

Step-by-step explanation:

Decreasing is the part in graph where function goes down. Increasing is the part where function goes up.

Jeff is purchasing a car for $28,175 that will depreciate in value 8.5% each year.
Write a function to model the value of p of the car after t years.
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.

Answers

The function to model the value of p of the car after t years can be expressed as:

p(t) = 28,175 * (1 - 0.085)^t

where 0.085 represents the percentage of depreciation per year, and t represents the number of years.

To find the value of the car after 6 years, we substitute t = 6 into the function:

p(6) = 28,175 * (1 - 0.085)^6

p(6) = 28,175 * 0.5386

p(6) ≈ 15,199.35

Therefore, the value of Jeff's car after 6 years will be approximately $15,199.35.

there are 25 people competing in a rubber duck regatta. each person is allowed only one entry. if there are no ties, how many ways are there to have the first, second, and third place winners?

Answers

There are 13,800 different ways to have the first, second, and third place winners without any ties.

In a rubber duck regatta with 25 people competing and each person having only one entry, we can determine the number of ways to have the first, second, and third place winners by using permutations.
Step 1: Calculate the number of options for the first place winner.

There are 25 contestants, so there are 25 options for the first place.
Step 2: Calculate the number of options for the second place winner.

Since the first place winner has been determined, there are 24 remaining contestants to choose from for the second place.
Step 3: Calculate the number of options for the third place winner.

After determining the first and second place winners, there are 23 remaining contestants to choose from for the third place.
Step 4: Multiply the number of options for each place to get the total number of possible outcomes.
25 options (first place) × 24 options (second place) × 23 options (third place) = 13,800 possible outcomes.

For similar question on competing.

https://brainly.com/question/9698922

#SPJ11

The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 510 and a standard deviation of 270. If a college requires a student to be in the top 30 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?
answer:(round to the nearest integer)

Answers

The minimum score that a student must obtain to be in the top 30% of students taking the national standardized examination for college admission is approximately 658.4.

To find the minimum score that a student must obtain to be in the top 30% of students taking the test, we need to find the score that corresponds to the 70th percentile of the distribution.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 70th percentile is approximately 0.52.

We can use the formula for transforming a score from a normal distribution to a standard normal distribution to find the corresponding score in the original distribution:

z = (x - mu) / sigma

where z is the z-score, x is the score in the original distribution, mu is the mean of the distribution, and sigma is the standard deviation of the distribution.

Rearranging this formula, we get:

x = mu + z * sigma

Substituting the values we have, we get:

x = 510 + 0.52 * 270

x = 658.4

Therefore, to be among the top 30% of test-takers and be eligible for admission to the college, a student must score at least 658.4 on the exam.

To learn more about minimum score please click on below link        

https://brainly.com/question/11177456

#SPJ1

as shown in the figure above, a thin conveyor belt 15 feet long is drawn tightly around two circular wheels each 1 foot in diameter. what is the distance, in feet, between the centers of the two wheels?

Answers

The distance between the centers of the two wheels is approximately 11.86 feet.

The length of the conveyor belt is equal to the circumference of the circle formed by each wheel plus the distance between the centers of the two wheels.

Let's call the distance between the centers of the two wheels "d". The circumference of each wheel can be calculated using the formula

C = πd

Since each wheel has a diameter of 1 foot, its radius is 0.5 feet. Therefore, the circumference of each wheel is:

C = πd = π(0.5) = 1.57 feet (approx.)

The length of the conveyor belt is given as 15 feet. So we can write

2C + d = 15

Substituting the value of C, we get

2(1.57) + d = 15

3.14 + d = 15

d = 11.86 feet

Learn more about conveyor belt here

brainly.com/question/3044640

#SPJ4

Mrs. Morales wrote a test with 18 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. Write an equation in slope-intercept form to represent the total number of points on the test. If necessary, write any fraction in decimal form. (Please help ASAP its due tmrw)

Answers

By answering the presented question, we may conclude that As a result, the slope-intercept equation to represent the total amount of points on the test is y = (-1/2)x + 10.

what is slope intercept?

In mathematics, the slope-intercept form of a linear equation is an that the equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis. Since it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line crosses the y-axis.

Let x denote the number of spelling and y the number of vocabulary questions. Because there are a total of 18 questions, we know:

x + y = 18

5x + 10y = 15 points

We must solve for y 5x + 10y = 100 to put this equation in slope-intercept form.

10y = -5x + 100

y = (-1/2)x + 10

As a result, the slope-intercept equation to represent the total amount of points on the test is y = (-1/2)x + 10.

To know more about slope intercept visit:

https://brainly.com/question/19824331

#SPJ1

two different cubes of the same size are to be painted, with the color of each face being chosen independently and at random to be either black or white. what is the probability that after they are painted, the cubes can be rotated to be identical in appearance?(2020amc12b problem 20) (a) 64 9 (b) 2048 289 (c) 512 73 (d) 1024 147 (e) 4096

Answers

Step-by-step explanation:

with 2 cubes we have 12 faces to paint.

each face has 2 options (black or white).

so, we have a total of 2¹² possible outcomes.

a probability is always the ratio of

desired cases / totally possible cases

so, we need to find a way to express the desired cases of both cubes being painted the same way.

essentially that means we have a totally free choice of painting the faces of the first cube.

that is 2⁶ possible outcomes.

for the second cubes we have then only one basic choice : to repeat the choices done on the first cube.

BUT : we have 6×4 ways to orient the second cube before painting it identically.

6 ways to pick e.g. the front face, and then 4 options to rotate the cube with the same front face for the e.g. top face.

in other words, we have 2⁶ different desired patterns on the first cube and 24 options to repeat the pattern on the second cube.

that means the desired options are 2⁶×1×24

so, the probability for them to be identical is

24×2⁶ / 2¹² = 24/2⁶ = 3/2³ = 3/8 = 0.375

The probability that after they are painted, the cubes can be rotated to be identical in appearance is (a) 64/9

Probability is a branch of mathematics that deals with the study of random phenomena or events with uncertain outcomes.

Let's start by assuming that one of the cubes has the black face facing up. The other cube can be painted in any of the possible ways.

Let's list all the possible configurations for the second cube.

There are six faces, and each can be painted either black or white. Therefore, there are 2⁶ = 64 possible configurations for the second cube.

The cube with the black face facing up has been accounted for separately, so there are 63 configurations that we need to consider.

If the second cube is painted all black or all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the black or white face is facing up.

There are two such configurations. If the second cube has exactly one white face and five black faces, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube has two white faces and four black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has three white faces and three black faces, there are eight ways to position it so that the cubes look identical. There are eight such configurations.

If the second cube has four white faces and two black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has five white faces and one black face, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube is painted all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the white face is facing up. There are two such configurations.

In total, there are 2 + 3 + 6 + 8 + 6 + 3 + 2 = 30 ways to position the two cubes so that they look identical.

There are 63 × 64 possible configurations for the two cubes, so the probability of the cubes being able to be rotated to be identical in appearance is given by:

30/ (63×64) = 64/9

Therefore, the correct answer is (a) 64/9.

To know more about probability visit:

https://brainly.com/question/30034780?

#SPJ11

Lily makes $8.25 an hour at her job. She has been offered a different job that pays $10.40 hour. What is the percent increase in her pay?

Answers

The percent increase in her pay is by 26.06% if she takes the new job.

What is percentage increase?

A quantity's percentage increase is a way to represent how much it has grown in comparison to its starting point. The formula is as follows: take the new value, remove the original value, divide the outcome by the original value, and then multiply by 100%. When comparing two quantities, such as incomes, prices, or test scores, it is common to use the percentage increase to gauge how much has changed. A value rise is indicated by a positive percent increase, whilst a value loss is shown by a negative percent increase.

Given that, the pat increases from $8.25 an hour to $8.25 an hour.

percent increase = [(new value - old value) / old value] x 100%

Substituting the values we have:

percent increase = [(10.40 - 8.25) / 8.25] x 100%

percent increase = 26.06%

Therefore, Lily's pay would increase by 26.06% if she takes the new job.

Learn more about percentage increase here:

https://brainly.com/question/15416004

#SPJ1

2plus 2 is 4 everybody knows that

Answers

Yes you are correct it is 4 and every one knows

NEED HELP ASAP!!! Q) A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, A) if two cards are randomly selected with replacement.

one third
one ninth
two thirds
two sixths

Answers

The prοbability οf drawing twο A cards is [tex]$1/8$[/tex] .

What is Prοbability?

The prοbability fοrmula establishes the likelihοοd that an event will οccur. It is the prοpοrtiοn οf favοurite websites tο all favοurite websites. P (B) is the prοbability οf an event "B" is hοw the prοbability fοrmula can be stated. The number "n" (B) represents the favοurite mοments οf an event "B."

There are three cards, each labelled with the letter A οr D. Since there are twο A cards, there are a tοtal οf [tex]$2^3 = 8$[/tex] pοssible equally likely οutcοmes when twο cards are drawn with replacement frοm the set.

The pοssible οutcοmes are: AA, AD, DA, DD, AA, AD, DA, DD.

Out οf these eight pοssible οutcοmes, there is οnly οne οutcοme that cοrrespοnds tο drawing twο A cards: AA. Therefοre, the prοbability οf drawing twο A cards is  [tex]$1/8$[/tex] .

In οther wοrds,

[tex]$P(A,A) = \boxed{\frac{1}{8}}$[/tex].

To learn more about Probability, click on the link:

https://brainly.com/question/30034780

#SPJ1

Empirical Rule Khan Academy; all, if not most, of the answers.


I didn't know how to do the assignment, nor did I want to take the time to learn how to do it- so I kept rerolling answers while documenting the question (the variables involved in each of the questions) and then noting down the answers.


Whilst doing this Khan Academy assignment (quiz or whatever) look at the first two numbers near the "less than," "more than," and "living between" part of the question. Proceed to align the next numbers to whichever ones I have on the pdf.
- The answers will be under the numbers that have "and" or "&." I put on the right, with a dash, to note whether it was the question regarding more than, less than, or living between.


This took me a while to do (I was going for 4 stars on Khan). I thought it was worth sharing. Goodluck, folks.

Answers

Answer:

dont no ok i dont konow ask an easy one

#

approximately how many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein?

Answers

Answer:

Therefore, there are approximately 102 kilocalories in the snack bar.

Step-by-step explanation:

One gram of fat provides 9 kilocalories (kcal), while one gram of carbohydrate and protein provide 4 kcal each. So, to find the total number of kilocalories in the snack bar, we can use the following formula:

Total kcal = (grams of fat * 9) + (grams of carbohydrate * 4) + (grams of protein * 4)

Plugging in the values, we get:

Total kcal = (6 * 9) + (10 * 4) + (2 * 4)

Total kcal = 54 + 40 + 8

Total kcal = 102

Therefore, there are approximately 102 kilocalories in the snack bar.

The answer is  approximately 120 kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein.

What are kilocalories? Kilocalories, also known as calories, are a unit of energy used to calculate the amount of energy in food. The number of kilocalories in food is calculated based on the number of grams of protein, carbohydrate, and fat it contains. Kilocalories are used by the body to fuel its processes and maintain its vital functions. The energy in food is released when it is digested, absorbed, and transported to the cells where it is used to produce ATP, the body's primary source of energy. ATP is used to power cellular processes such as metabolism, respiration, and movement. How many kilocalories are in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein? To calculate the number of kilocalories in a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein, we need to know the number of kilocalories per gram of each macronutrient. Protein and carbohydrates each contain 4 kilocalories per gram, while fat contains 9 kilocalories per gram. To calculate the number of kilocalories in the snack bar, we multiply the number of grams of each macronutrient by the number of kilocalories per gram and then add them together. Here is the calculation:6 grams of fat x 9 kilocalories per gram of fat = 54 kilocalories10 grams of carbohydrate x 4 kilocalories per gram of carbohydrate = 40 kilocalories2 grams of protein x 4 kilocalories per gram of protein = 8 kilocalories. Total kilocalories = 54 + 40 + 8 = 102Therefore, a snack bar that contains 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories.
A snack bar with 6 grams of fat, 10 grams of carbohydrate, and 2 grams of protein has approximately 102 kilocalories. This is calculated as follows: (6 grams fat x 9 kcal/g) + (10 grams carbohydrate x 4 kcal/g) + (2 grams protein x 4 kcal/g).

Therefore, answer is 120 kilocalories.

To know more about carbohydrates visit : https://brainly.com/question/29775112

#SPJ11

I need help please thank y’all

Answers

Solving the given inequality, we get the value of x to be,

x ≥ 16.

What is an inequality?

In a mathematical equation with an inequality, both sides must be equal. In inequality, we don't use equations but rather compare two values. The signs greater than (or greater than or equal to), less than (or less than or equal to), or not equal to are used in place of the equal sign.

Here in the question, we have the inequality:

x - 4 ≥ 12

Now to simplify this we will add 4 on both sides,

⇒ x - 4 + 4 ≥ 12 + 4

⇒ x ≥ 16

So, this implies that the value of x is greater than or equal to 16.

To know more about inequality, visit:

https://brainly.com/question/30228778

#SPJ1

The perimeter of a rectangle is 50 inches. Its width measures 11 inches. What is its length? Let x= length of the rectangle. A.) 2x - 11 = 50
B.) 2x + 11 = 50
C.) x + 11 = 50
D.) 2x + 22 = 50

Answers

Answer: D.) 2x + 22 = 50

Step-by-step explanation:

P=2(l+w)

2x+22=50 is correct because

2 times x is 2 times the unknown length

11 times 2 is 22 so, you add that to the 2x

50 is the perimeter

At a coffee shop, the first 100 customers'
orders were as follows.
Hot
Cold
Small Medium Large
5
48
22
8
12
5
Find the probability a customer ordered a
medium, given that they ordered a hot drink.
P(B|A) =
P(medium | hot) = [? ]
P(ANB)
P(A)

Answers

To find the probability a customer ordered a medium, given that they ordered a hot drink, we need to use Bayes' theorem:

P(medium | hot) = P(hot | medium) * P(medium) / P(hot)

We can find the values we need from the table:

P(hot) = (5+48+22)/100 = 0.75
P(medium) = (8+12)/100 = 0.2
P(hot | medium) = 12/20 = 0.6

Now we can substitute these values into the formula:

P(medium | hot) = 0.6 * 0.2 / 0.75 = 0.16

Therefore, the probability that a customer ordered a medium given that they ordered a hot drink is 0.16.
Other Questions
Can you Solve these Problems ASAPFind the set of solutions for each of the following absolute value inequalities 3. some characteristics of three proteins are listed in the table below: protein molecular weight (da) isoelectric point (pi) does the protein contain a heme moiety? 1 75,000 5.0 no 2 12,500 4.8 no 3 73,000 9.8 yes a. (1 point) what type of chromatography separates proteins based on their size? b. (1 point) what type of chromatography separates proteins based on their charge? c. (6 points) could gel filtration chromatography be used to separate a mixture containing protein 2 and 3? clearly explain why or why not. if gel filtration chromatography can be used to separate protein 2 from protein 3, which protein would elute first (clearly explain why)? after collecting the fractions from the column, the absorbance of each fraction will be measured using a spectrophotometer. can both proteins (protein 2 and protein 3) be monitored at 280nm and 400nm (clearly explain)? if a firm faces a downward-sloping demand curve a. it can control both price and quantity sold. b. it will always make a profit. c. it must reduce its price to sell more units. d. the demand for its product must be inelastic. 6 Examine the following passage from a letterabout American education and then use it toanswer the question below."A lady asked me one day, 'What stateis Virginia in?' Another asked, 'Is Canadain Kentucky?' Another supposed that 'JoeGraphy [geography] was very hard to learn.'Such is the cause of all our mistakes inreligion, morals, and politics. When we areeducated we can cast off prejudice andsuperstition. Education improves our judg-ments and restrains our passions. In short,it enables us to discover what is best for ourwelfare."-- Anne Newport Royall, adapted fromLetters from Alabama, 1817-1822Document-Based Question Why mightRoyall and others try to make educationavailable to more Americans? Explain. Throughout history, changes in agricultural technology have driven large social change and growth. Why this is the case? A. Farming is usually the most profitable profession in society. B. Better food sources allow for more crafts and trade opportunities in society. C. Agricultural technology rarely leads to growth in other areas of society. D. Farming has been the backbone of every society since the beginning of humankind. of the following, which is an emulsifying agent in the given context? select the correct answer below: the dye in paint the casein in milk the water in milk the oil in mayonnaise Research Your Comic StripWhen you are thinking about which careers you would like to pursue, it can be helpful to find out what a typical day in a certain job is like. For this assignment, you will create a day in the life comic strip that shows the job duties of someone who has a job in operations management.But Ive never worked in any of those jobs, you might say. You can research one of those jobs in one or more ways:Think about what you learned in the unit.Use some of the research you completed in Activity 1, if you completed that activity.Interview a friend, family member, or neighbor who has had a job in some type of operations management.Use different browsers and search engines to find information. For example, you might use search terms such as quality control manager day in the life or purchasing agent everyday tasks.You will probably have to use more than one research method to get the information you need.Step 2: Rough Out Your ScriptMost comic book artists create a script before they begin drawing. Here are some steps to help you.Think about what you have learned.Put the tasks in time order: What happens early in the workday, in the middle of the day, and before the person leaves work?Will your comic include dialogue? That means words spoken between people.What terminology does someone in this job use? Decide whether you will use it in your comic.What are the most important things you want your reader to know about this job?Step 3: Draw Your ComicNow that you know what information you want to include and in what order, start drawing your comic. Dont worry about being a great artist. You can use stick figures if you want to. Just make sure a reader can understand the sequence of events and learn about this career path.You can create your comic by folding a piece of paper into sections (one section per panel) or by using illustration software or presentation software (one screen or one slide per panel). If you draw your comic, take a picture of the final comic and submit the image.Submit your comic to the dropbox. your university is upgrading the computers on campus. a national student survey revealed that 62% of college students preferred pcs to macs. a recent poll of 200 social science majors at your university revealed that 82% of students preferred macs to pcs. how do social science majors at your university compare to national mac computer preference norms for college students? what is the correct statistical decision? older adults typically learn to concentrate when possible on the good aspects of a situation. this is known as A sample of 250 people were surveyed and a 95% Confidence interval was calculated. From this confidence interval, it can be concluded that between 48% and 60% of the population will vote for Candidate A. Based off this information, is it safe to assume that Candidate A will win the election? In 1 or 2 sentences, explain why or why not? Cecily. [Rather shy and confidingly.] Dearest Gwendolen, there is no reason why I should make a secret of it to you. Our little county newspaper is sure to chronicle the fact next week. Mr. Ernest Worthing and I are engaged to be married.Gwendolen. [Quite politely, rising.] My darling Cecily, I think there must be some slight error. Mr. Ernest Worthing is engaged to me.The Importance of Being Earnest,Oscar WildeWhat literary device does Gwendolen use when she says, "I think there must be some slight error"?a. punb. paradox c. understatement d. epigram which of the following is true regarding asteroids?A.exist mainly in the oort cloudB.caused by eruptions of heated gas from the sunC. are made of solid ic D. thought to be left over pieces of the solar system Label please this is due tmrrr Write each answer in scientific notation (6x10^-3)(1.4x10^1) a direct variation includes the points (-5, 10) and (-4.5, n) find n. when substance abusers cannot exercise self-control in their environment, cannot tolerate withdrawal symptoms, or behave self-destructively or dangerously, which treatment approach is typically recommended? The rectangular room shown 20 feet long, 48 feet wide, and 10 feet tall. Use the Pythagorean Theorem to find the distance from B to C and the distance from A to B . Round to the nearest tenth, if necessary. What is the purpose of aluminum foil? what band formed after backing linda ronstadt and became arguably the most famous of the west coast folk rock sound? Given a circle with a diameter whose endpoints are (3, -1) and (7, 5), write theequation of the circle.(x - 5) + (y-2) = 169 (x 3) + (y + 1) = 52(x-3) + (y + 1) = 169(x - 5) + (y-2) = 13(x - 5) + (y - 2) = 26