Answers
Answer:
3
Step-by-step explanation:
Related Questions
A clinic has recorded the age, x, versus weight, y, of many babies for their first 12 months of life, and claim the line of best fit is ŷ = 0.60x + 3.3, where y is in kg, and x is in months.
A new baby, who is 10 months and weighs 10 kg, is added to the clinic records.
What is the residual of the data for this new baby?
Answers
The residual of the data for this new baby is 0.7
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
Here, we have
Given: A clinic has recorded the age, x, versus weight, y, of many babies for their first 12 months of life, and claims the line of best fit is ŷ = 0.60x + 3.3, where y is in kg, and x is in months.
ŷ = 0.60x + 3.3
Substitute, x=10
ŷ = 0.60(10) + 3.3 = 9.3
Residual = y - ŷ = 10 – 9.3 = 0.7
Hence, the residual of the data for this new baby is 0.7
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The following are the components in Pharoah Company’s income statement.
Determine the missing amounts.
Sales Revenue
Cost of Goods Sold
Gross Profit
Operating Expenses
Net Income
(a) $83,000
$enter Cost of goods sold in dollars
$32,700
$enter Operating expenses in dollars
$18,300
(b) $111,100 $74,100
$enter Gross profit in dollars
$enter Operating expenses in dollars
$23,300
(c)
$enter Sales Revenue in dollars
$80,500 $82,500 $47,900
$enter Net income in dollars
Answers
Cost of Products Sold is equal to $111,100 minus $97,400, or 13,700 as the formula for Net Income, the amount is $74,100.
what is amount ?The word "amount" in mathematics typically denotes the number or size of something that can be counted, measured, or computed. It is applicable to several fields, including geometry, arithmetic, algebra, statistics, and calculus. An amount, for instance, can also be used to describe the sum of a group of numbers after addition. An unknown number or value that needs to be factored into an equation in algebra is referred to as an amount.
given
(a) Gross Profit = Sales Revenue - Cost of Items Sold ($83,00)
When provided, Gross profit equals $32,700, therefore
Cost of Goods Sold is equal to $83,000 - $32,700 ($50,300).
Running Costs = $18,300
Operational costs minus Gross Profit gives you Net Income.
$32,700 - $18,300 = $14,400 is the net income.
Sales revenue equals $111,100 in (b).
Sales revenue minus gross profit equals cost of goods sold.
When provided, Operational Costs = $23,300, yet there is no gross profit, so:
Sales revenue minus costs of goods sold equals gross profit.
Total Revenue = $111,100 - Selling Prices for Items
Operational expenses minus gross profit equals $74,100 in net income.
Using the formula for Net Income, the amount is $74,100: Gross Profit - $23,300
Gross Profit: $97,400 ($74,100 + $23,300).
Cost of Products Sold is equal to $111,100 minus $97,400, or 13,700 as the formula for Net Income, the amount is $74,100.
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You purchase an old farmhouse for $175,000 with a 30% down payment. You have two loan options.
Loan #1: 7.25% for 20 years
Loan #2: 7.00% for 25 years
Answers
For Loan #1, the interest rate is 7.25%, and the loan term is 20 years. Using a mortgage calculator, the monthly payment would be $912.52, and the total interest paid over the life of the loan would be $119,005.24.
For Loan #2, the interest rate is 7.00%, and the loan term is 25 years. Using a mortgage calculator, the monthly payment would be $832.05, and the total interest paid over the life of the loan would be $139,614.68.
Comparing the two loans, Loan #2 has a lower interest rate and a longer loan term, which results in a lower monthly payment but a higher total interest paid over the life of the loan. Loan #1 has a higher interest rate and a shorter loan term, which results in a higher monthly payment but a lower total interest paid over the life of the loan.
In the end, the choice between the two loans depends on the individual's financial situation and priorities. If the individual values a lower total interest paid over the life of the loan and can afford a higher monthly payment, then Loan #1 may be the better option. If the individual values a lower monthly payment and is willing to pay more in total interest over the life of the loan, then Loan #2 may be the better option.
.In a different biology lab, a population of single-cell parasites also reproduces hourly. An equation which gives the number of parasites, , after hours is Explain what the numbers 100 and 3 mean in this situation.
Answers
Answer: p=50 h=2
Step-by-step explanation:
so its 50 x 2=100 is the answer then u add 3
in a mall parking lot, 60% of the cars are compacts. If there are 240 compact cars in the parking lot, how many cars are not compact
Answers
Answer: 144
Step-by-step explanation:
60/100 times x/240
Cross multiply!!!
I hope this helps, have a nice day!!
The diagram shows five shapes on a centimetre grid. A D D B E C a) Write down the name of shape A. Two of the shapes are congruent. b) Select the letters of these two shapes.
Answers
The name of shape A is right trapezoid
The congruent shapes are B and D
What is a right trapezoid?A right trapezoid is a trapezoid (a four-sided polygon with two parallel sides) in which one of the angles formed by the non-parallel sides is a right angle (90 degrees).
The parallel sides of a right trapezoid are called the bases of the trapezoid, and the other two sides are called the legs. The perpendicular distance between the bases of a right trapezoid is called the height of the trapezoid.
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Suppose in an orchard the number of apples
in a tree is normally distributed with a mean
of 300 and a standard deviation of 30 apples.
Find the probability that a given tree has
between 270 and 330 apples.
210 240 270 300 330 360 390
P = [?]%
Hint: use the 68-95 99.7 rule.
Enter
Answers
To find the probability that a given tree has between 270 and 330 apples, we need to calculate the area under the normal curve between the z-scores corresponding to 270 and 330.
How is probability of an event determined?First, we need to convert the values of 270 and 330 to z-scores using the formula:
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean of the distribution, and σ is the standard deviation.
For x = 270, we get:
z = (270 - 300) / 30 = -1
For x = 330, we get:
z = (330 - 300) / 30 = 1
Using the 68-95-99.7 rule, we know that approximately 68% of the area under the normal curve is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations.
Since the z-scores for 270 and 330 are within one standard deviation of the mean (i.e., they are both less than 1 standard deviation away from the mean of 300), we can use the 68% rule to estimate the probability that a given tree has between 270 and 330 apples.
According to the 68% rule, approximately 68% of the trees will have between 270 and 330 apples.
Therefore, P = 68%.
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(x-2)(x+1)
(x-3)(x-1)²
3. Determine the asymptotes for y=
Answers
Answer: To find the vertical asymptotes of the given function, we need to find the values of x that make the denominator equal to zero. So, we set each denominator equal to zero and solve for x:
(x-3)(x-1)² = 0
x = 3 or x = 1
Therefore, the vertical asymptotes of the function occur at x = 3 and x = 1.
To find the horizontal asymptotes, we need to look at the degree of the numerator and denominator. Since both the numerator and denominator are degree 2, we can find the horizontal asymptote by dividing the leading coefficient of the numerator by the leading coefficient of the denominator. In this case, the leading coefficient of both the numerator and denominator is 1, so the horizontal asymptote is y = 1/1 = 1.
Therefore, the vertical asymptotes are x = 3 and x = 1, and the horizontal asymptote is y = 1.
Step-by-step explanation:
the cost to run the gym each month is 5,000. Find Eds total monthly expenses for each loan option.
Answers
Ed's total monthly expenses for each loan option includes:
First bank = $6,792City bank = $6,803Star bank = $6,817 How do we calculate the monthly expenses for each loan option?The lists of banks and their annual interest rates are as follows:
Because the interest rate at the first bank is 7.5%, the total interest:
= 7.5% of $20000
= 0.075 * $20000
= $1500.
Since the interest rate at City Bank is 8.2%, the total interest:
= 8.2% of $20000
= 0.082 * $20000
= $1640.
Because the interest rate at Star Bank is 9%, the total interest:
= 9% of $20000
= 0.09 * $20000
= $1800.
The annual loan plus interest for banks is:
First bank:
= $20,000 + $1500
= $21,500
City bank:
= $20000 + $1640
= $21640
Star Bank:
= $20000 + $1900
= $21900
The banks' monthly payments are as follows:
First bank = $21500 / 12 months = $1,792.
City bank = $21640 / 12 months = $1,803
Star bank = $21800 / 12 months = $1,817
Now, since monthly cost of running the gym is $5,000. Ed's total monthly expenses for each loan option are equal to the monthly payments plus the cost for each month. It is calculated as follows:
First bank = $5000 + $1792 = $6792.
City bank = $5000 + $1803 = $6803
Star bank = $5000 + $1817 = $6817
Full question "Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best loan option, Ed wants to know the percent profit he will make each month. Part A The cost to run the gym each month is $5,000. Find Ed's total monthly expenses for each loan option.
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Malia went to see a play at a theater downtown. The first act was 50 minutes long. Intermission lasted for 30 minutes, and the second act was 1 hour and 10 minutes long. The second act ended at 10:45 P.M. What time did the play start?
I need help with this.
Answers
Answer:
8:15
Step-by-step explanation:
Please help me find the arc!
Answers
Step-by-step explanation:
pi * d = total 360° circumference....you want 210/360 ths of this total
pi * 10 * 210 / 360 = calculate this.....
Could you [please help me with the question in the screenshot thank you
Answers
The bias of the estimator is 1/45, so correct option is A.
Describe Proportion?In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, expressed as a fraction or a division of one quantity by another.
For example, the proportion "a/b = c/d" means that the ratio of a to b is equal to the ratio of c to d. This can also be written as "a : b = c : d", where the colon (:) represents the ratio symbol.
Proportions can be used to solve a variety of problems, such as finding unknown quantities in a ratio or comparing quantities that have different units. For instance, if a recipe calls for 2 cups of flour for every 3 cups of water, we can use proportions to determine how much flour and water we need if we want to make a larger or smaller batch.
The estimator for the true proportion of residents in support of the bypass road construction is given by:
p = (X + √2025/2) / 2025
We can see that this estimator involves adding √2025/2 to X, and then dividing the sum by 2025. Since √2025 = 45, we can simplify the estimator as:
p = (X + 45/2) / 2025
Now, we can find the expected value of the estimator:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
To find the bias of the estimator, we need to compare its expected value to the true value of the parameter being estimated. Since we are estimating the proportion of residents in support of the bypass road construction, the true value of the parameter is the population proportion, denoted by p.
If the estimator is unbiased, then its expected value must equal the true value of the parameter, i.e., E[p] = p. Therefore, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
Thus, the bias of the estimator is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
Therefore, the bias of the estimator is 1/45. Answer: A.
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The bias of the estimator is 1/45. The appropriate choise for the posed query is option (a).
What is proportion?In mathematics, a proportion is the assertion that both ratios are equal. A ratio is the division of one quantity by another or the comparison of two quantities given as a fraction.
The ratio "a/b = c/d," for instance, denotes that the ratio of a to b is equivalent to the ratio of c to d. This can also be expressed as "a: b = c: d," where the ratio sign is denoted by the colon (:).
Numerous issues can be resolved using proportions, like comparing amounts with various units or locating unknown values in a ratio. For instance, we may use proportions to calculate the amount of flour and water needed to make a larger or smaller batch of a recipe if it calls for 2 cups of flour and 3 cups of water.
The estimator for the actual percentage of residents in favour of building the bypass route is provided by:
p = (X + √2025/2) / 2025
As we can see, this estimator multiplies X by 2025/2 before dividing the result by 2025.
Since √2025 = 45, The estimator may be distilled down to:
p = (X + 45/2) / 2025
We can now determine the estimator's expected value:
E[p] = E[(X + 45/2) / 2025]
= (E[X] + 45/2) / 2025
We must contrast the estimator's expected value with the actual value of the parameter being estimated in order to determine its bias. The population proportion, given by p, is the genuine value of the parameter because we are calculating the percentage of residents who support the construction of the bypass route.
If the estimator is impartial, then its predicted value must match the parameter's true value, or E[p] = p. As a result, we have:
E[p] = (E[X] + 45/2) / 2025 = p
Solving for E[X], we get:
E[X] = 2025p - 45/2
As a result, the estimator's bias is:
Bias[p] = E[p] - p
= (E[X] + 45/2) / 2025 - p
= [(2025p - 45/2) + 45/2] / 2025 - p
= (2025p - p) / 2025
= 44/2 x 2025
= 1/45
As a result, the estimator's bias is 1/45. Answer: A.
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Simplify
5(x+1)-7(x-1)
Answers
Answer:
- 2x + 6
Step-by-step explanation:
Expand
5(x+1)-7(x-1) = 5x + 5 - 7x + 1 and upon adding, = - 2x +6
- 2x + 6 can also be written as 6 - 2x
Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations. A. 5 × 3 = 15 B. 1 5 × 1 3 = 1 15 C. 1 5 × 3 = 3 5 D. 5 ÷ 1 3 = 15 E. 1 3 ÷ 5 = 1 15
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The two equations that can be applied to the issue are as follows: A. 5 × 3 Equals 15 (multiplication) (multiplication) . B. 1/5 × 3 Equals 3/5 (multiplication and division) (multiplication and division)
what is equation ?An equation is a claim that two alternatives are equal in mathematics. The equals sign (=) is generally used to denote this claim. It is a mathematics assertion that two expressions are equal. Variables, constant, coefficients, and mathematical operations like addition, subtraction, multiply, and dividing can all be found in an equation. Finding the value(s) of both the variable(s) that render the equation true is the aim of an equation's solution.
given
Each of the five pears Kylie has is divided into thirds. She must therefore distribute the following quantity of pear slices to her teammates:
5 pears cut into 3 slices each equals 15 slices.
The two equations that can be applied to the issue are as follows: A. 5 × 3 Equals 15 (multiplication) (multiplication) . B. 1/5 × 3 Equals 3/5 (multiplication and division) (multiplication and division) .
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The picture below is being enlarged by a scale factor of 2.5 how many inches of framing will the picture require
Answers
Answer:
Multiply the given numbers by a factor of 2.5, then find the perimeter by adding up all 4 of the sides.
Step-by-step explanation:
While there isn't a picture given, it can be assumed that the shape given is a rectangle.
Then, simply multiply all 4 sides by a factor of 2.5, since that's the number it is being enlarged by.
Then to find the "framing" of said rectangle, add up all 4 of the sides that you just calculated to find the perimeter.
Find the quotient of 6x³-18x²-12x
-6x
-x²-3x-2
x²-18x-12
-x² + 18x-12
-x² + 3x + 2
Answers
Therefore , the solution of the given problem of equation comes out to be (-x² + 3x + 2) / (x² - 18x - 12) = -x + 15.
What is equation?Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of another algorithm that can analyze data given by y + 7, split 12 to two parts, and produce y + 7, leveling produces b + 7 in this instance.
Here,
We can use long division to determine the quotient of the given polynomial division problems. Let's begin with the initial issue:
2x² - 5x
-6x | 6x³ - 18x² - 12x + 0
- (6x³ - 18x²)
----------------
0 - 12x²
- (-12x² + 0x)
---------------
0 - 12x
- (0 - 12x)
----------
0
As a result, 2x2 - 5x is the result of (6x3 - 18x2 - 12x) / (-6x).
Let's now turn our attention to the second issue:
-x + 15
x² - 18x - 12 | -x² + 3x + 2
x² - 15x
--------
18x + 2
18x - 270
--------
272
As a result, -x + 15 is the result of (-x² + 3x + 2) / (x² - 18x - 12).
Thus, the ultimate responses are:
(6x³ - 18x² - 12x) / (-6x) = 2x² - 5x
(-x² + 3x + 2) / (x² - 18x - 12) = -x + 15
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This picture represents 1/4 of a distance. Which picture represents the whole distance?
(don't delete this question.)
Answers
Answer:
Option C---------------------------------
See the attached, where the given distance is copied over each option. Since the whole distance is 4 times the 1/4 of the distance, the correct choice is C.
Consider the equation √6x+3 = x-2. Squaring the left side and simplifying results in
right side and simplifying results in
Squaring the
Answers
To solve the equation √6x+3 = x-2, we can start by squaring both sides of the equation:
(√6x+3)² = (x-2)²
Simplifying the left side of the equation, we get:
6x+3 = (x-2)²
Expanding the right side of the equation, we get:
6x+3 = x² - 4x + 4
Moving all the terms to one side, we get a quadratic equation:
x² - 10x + 1 = 0
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = -10, and c = 1. Plugging these values into the formula, we get:
x = (10 ± √(100 - 4))/2
x = (10 ± √96)/2
x = 5 ± 2√6
Therefore, the solutions to the equation √6x+3 = x-2 are x = 5 + 2√6 and x = 5 - 2√6.
Part C
Now you will attempt to copy your original triangle using only two of its sides and the included angle:
Using point E as the center, draw a circle with a radius equal to the length of
, which you calculated in part B.
Using point E as the vertex and
as one side of the angle, create an angle that is equal to the measure of
. Draw ray
.
Locate the intersection of the ray and the circle, and label the point F.
Complete
by drawing a polygon through points D, E, and F.
Take a screenshot of your results, save it, and insert the image below
Answers
After answering the provided question, we can conclude that To circle complete the copied triangle, draw a polygon through points D, E, and F.
What is circle?A circle appears to be a two-dimensional component that is defined as the collection of all points in a jet that are equidistant from the hub. A circle is typically depicted with a capital "O" for the centre and a lower section "r" for the radius, which is the distance from the origin to any point on the circle. The formula 2r gives the girth (the distance from the centre of the circle), where (pi) is a proportionality constant roughly equal to 3.14159. The formula r2 computes the circumference of a circle, which refers to the amount of space inside the circle.
Follow these steps to duplicate the original triangle using only two of its sides and the included angle:
Find the point where the ray and the circle intersect. Place the tip of the compass at point E and draw an arc that intersects the circle twice. Label the point that is on the same side of side AC as point B as point F.
To complete the copied triangle, draw a polygon through points D, E, and F.
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I have tried for days on this its due sunday I really need the answer pls
Answers
Answer:
Space explorer A traveled about 77,000 miles in roughly 10 hours.
Step-by-step explanation:
space traveler b travels about 155 miles faster per hour than space traveler A
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 19 subjects had a mean wake time of 104.0 min. After treatment, the 19 subjects had a mean wake time of 94.9 min and a standard deviation of 24.3 min. Assume that the 19 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective?
Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment.
Answers
The answer of the given question based on the confidence interval is , it suggests that the drug treatment has significantly reduced the mean wake time , the drug appears to be effective in treating insomnia in the older subjects.
What is Mean?Mean is a statistical measure of central tendency that represents the average of a set of numerical values. It is also referred to as the arithmetic mean or simply "the average." To calculate the mean, we add up all the values in the set and divide the sum by the number of values.
To construct the 99% confidence interval estimate of the mean wake time for a population with the treatment, we can use the following formula:
CI = x⁻ ± tα/2 (s/√n)
where x⁻ is the sample mean (94.9 min), s is the sample standard deviation (24.3 min), n is the sample size (19), and tα/2 is the critical t-value with α = 0.01/2 and degrees of freedom (d f) = n - 1.
The degrees of freedom for this sample is d f = 19 - 1 = 18. Using a t-table or a t-distribution calculator, we find that t0.005,18 = 2.878, where 0.005 is the tail probability for a 99% confidence interval (α/2 = 0.005).
Plugging in the values, we get:
CI = 94.9 ± 2.878 * (24.3/√19) = (80.36, 109.44)
Therefore, we can say with 99% confidence that the mean wake time for a population with the drug treatment falls between 80.36 and 109.44 minutes.
Regarding the mean wake time of 104.0 min before the treatment, we can compare it with the lower bound of the confidence interval (80.36 min). Since the lower bound is much lower than 104.0 min, it suggests that the drug treatment has significantly reduced the mean wake time.
Therefore, based on the confidence interval estimate, the drug appears to be effective in treating insomnia in older subjects.
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The average amount of money spent for lunch per person in the college cafeteria is $6.4 and the standard deviation is $2.03. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
Answers
The average amount of money spent for lunch per person in the college cafeteria is $6.45 and the standard deviation is $2.55. Suppose that 44 randomly selected lunch patrons are o
population mean is 6.45
population standard deviation is 2.55.
sample size is 44.
z-score is indicated because you are using population standard deviation and sample size is greater than 30.
Compare the sample mean to the population mean.The z-score formula is [tex](x - m) / s[/tex]
in this case, x is the sample mean, m is the population mean, s is the standard error.
[tex]standard error = standard deviation / sqrt(sample size0 = 2.55 / sqrt(44) = .3844[/tex] rounded to 4 decimal places.
z-score formula becomes [tex]z = (x - 6.45) / .3844[/tex]
solve for x to get:
[tex]x = .3844 * z + 6.45[/tex]
since you don't have a z-score, you can't find x.
the best you can do is find the critical z-scores, and hence, the critical raw scores.
In order to do that you need to to know the confidence level.
if you know that, you can find the critical z-scores and, from that, the critical x-scores.
we'll compare two confidence levels.
the first is at 99% confidence level.
the second is at 90% confidence level.
with a 99% two-tail confidence level, the critical z-scores are plus or minus 2.5758 rounded to 4 decimal places.
the critical raw scores are found by using the z-score formula.
you get [tex]x = .3844 * 2.5758 + 6.45 = 7.4401[/tex] for the high score.
you get x = [tex].3844 * -2.5758 + 6.45 = 5.4599[/tex] for the low score.
the 99% two-tail confidence level tells you that 99% of your samples of size 44 will have the sample mean between 5.4599 and 7.4401.
that's your 99% confidence interval.
with a 95% two-tail confidence level, the critical z-scores are plus or minus 1.9600 rounded to 4 decimal places.
the critical raw scores are found by using the z-score formula.
you get [tex]x = .3844 * 1.9600 + 6.45 = 7.2034[/tex] for the high score.
you get[tex]x = .3844 * -1.9600 + 6.45 = 5.6966[/tex] for the low score.
the 95% two-tail confidence level tells you that 95% of your samples of size 44 will have the sample mean between 5.6966 and 7.2034.
that's your 95% confidence interval.
the higher the confidence level, the wider the confidence interval when you are dealing with the same population mean and population standard deviation and same sample size.
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Correct and complete question:
The average amount of money spent for lunch per person in the college cafeteria is $6.45 and the standard deviation is $2.55.
Suppose that 44 randomly selected lunch patrons are observed.
Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
b. What is the distribution of x?
x-N(6.45,_________________)
A normally distributed population has a mean of 98.62 and a standard deviation of 0.388. What is the sample average from samples of size 586 that has a z-score of -0.74?
Answers
Because we can use the standard normal to find probabilities for a normal random variable with any mean and any standard deviation, it is significant.
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
According to our question-
If x is your data point, is the mean, and is the standard deviation,
z = (x - ) /
Hence, Because we can use the standard normal to find probabilities for a normal random variable with any mean and any standard deviation, it is significant.
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Find the length of the missing side. Provide an answer accurate to the nearest tenth
Answers
The length of the hypotenuse is approximately 10.63 inches.
What is hypotenuse?
The hypotenuse is the longest side of a right triangle, and it is opposite the right angle. In other words, the hypotenuse is the side that connects the two acute angles of the triangle. The hypotenuse is always opposite the right angle in a right triangle and is also the side that has the largest length compared to the other two sides of the right triangle.
The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides of the right triangle.
According to the question:
We can use the Pythagorean theorem to find the hypotenuse of a right triangle given the lengths of its other two sides. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the length of the opposite side is 7 inches and the length of the adjacent side is 8 inches. Let's label the hypotenuse as c. Then, we can set up the equation:
[tex]c^2 = 7^2 + 8^2[/tex]
[tex]c^2 = 49 + 64[/tex]
[tex]c^2 = 113[/tex]
To solve for c, we take the square root of both sides of the equation:
[tex]c = \sqrt(113)[/tex]
[tex]c \approx 10.63[/tex]
Therefore, the length of the hypotenuse is approximately 10.63 inches.
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plss!!!!!!!!!!!!!!!!!
Answers
Answer:
1. Decay of 51%
2. Growth of 51%
3. Decay of 49%
4. Growth of 49%
Step-by-step explanation:
Look at the number in the parentheses raised to the power t.
In the formula, you have (1 + r)^t.
The number in parentheses is 1 + r.
Set each number in parentheses equal to 1 + r and solve for r.
If r is positive, it is growth.
If r is negative, it is decay.
1.
1 + r = 0.49
r = 0.49 - 1
r = -0.51
Decay of 51%
2.
1 + r = 1.51
r = 1.51 - 1
r = 0.51
Growth of 51%
3.
1 + r = 0.51
r = 0.51 - 1
r = -0.49
Decay of 49%
4.
1 + r = 1.49
r = 1.49 - 1
r = 0.49
Growth of 49%
A tank contains 2760 L of pure water. Solution that contains 0.08 kg of sugar per liter enters the tank at the rate 3 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate.
(a) How much sugar is in the tank at the begining? Y(0)= (kg)
(b) Find the amount of sugar after t minutes. y(t)= (kg)
(c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit y(t) as t approcahes infinity. (kg)
Answers
a) the initial condition as 0 kg sugar in the tank at time = 0 (pure water)
b) with the net rate of change the amount of sugar after t minutes is S(t) = 236.8 [1 - e (t/740)]
c) time goes to infinity, the amount of sugar in is 236.8 kg.
a) Let A(t) denote the amount of sugar in the tank at time. The tank starts with only pure water, so A(0) = 0 OR you can say that you give the initial condition as 0 kg sugar in the tank at time = 0 (pure water)
b) Sugar flows in at a rate of (0.07 kg/L) * (7 L/min) = 0.49 kg/min = 49/100 kg/min and flows out at a rate of (A(t)/1080 kg/L) * (7 L/min) = 7A(t)/1080 kg/min, so that the net rate of change of is governed by the ODE, multiply both sides by the integrating factor to condense the left side into the derivative of a product, if t = time and S(t) is the amount of sugar in the tank as a function of time, then the equation that we get is S(t) = 236.8 [1 - e (t/740)]
c) As t---> ∞, the exponential term converges to 0 and we're left with the means when time goes to infinity, the amount of sugar in is 236.8 kg.
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m-n/m^2-n^2 + ?/(m-1)(m-n) = 2m/m^2-n^2
Answers
To solve for the missing value, we need to first find a common denominator for the fractions on the left side of the equation. The common denominator is (m - n)(m + n)(m - 1). Thus, we can write:
[(m - n) - ?]/[(m - n)(m + n)(m - 1)] = 2m/(m^2 - n^2)
Next, we can cross-multiply to eliminate the fractions:
[(m - n) - ?](m^2 - n^2) = 2m[(m - n)(m + n)(m - 1)]
Simplifying the right side of the equation:
2m[(m - n)(m + n)(m - 1)] = 2m(m - n)(m + n)(m - 1)
= 2m(m^2 - n^2)(m - 1)
Expanding the left side of the equation:
[(m - n)(m + n) - ?](m^2 - n^2) = (m - n)(m + n)(m - 1)
Distributing the left side of the equation:
(m - n)(m^2 - n^2 + ?) = (m - n)(m + n)(m - 1)
Canceling out the common factor (m - n):
m^2 - n^2 + ? = (m + n)(m - 1)
Expanding the left side of the equation:
? = (m + n)(m - 1) - (m^2 - n^2)
Simplifying the right side of the equation:
? = m^2 - m + n^2 + n - m^2 + n^2
= 2n^2 - m + n
Therefore, the missing value is ? = 2n^2 - m + n.
A rectangle has a width of 13 inches and a length of inches. Write an expression representing the area of the rectangle
Answers
Answer:
Step-by-step explanation:
let l = the length of the rectangle
area of the rectangle (A) = 13 * l
(13) x = area
if the length is provided replace the variable (x) with the length
A random experiment involves drawing a sample of 12 data values from a normally distributed population. The random variable is the range of the data set. 38 38 41 47 48 52 55 57 60 62 63 65 Give the random variable. (Appropriate rounding rules still apply.) r.v. =
Answers
The randοm variable in this case is the range οf the 12 data values, which is equal tο 27.
What is range οf a data set?The range οf a data set is the difference between the highest and lοwest value in a given set.
The range οf a data set is the difference between the largest and smallest values in the set.
In this case, the smallest value is 38 and the largest value is 65. Therefοre, the range οf the data set is:
Range = Largest value - Smallest value
Range = 65 - 38
Range = 27
Sο, the randοm variable in this case is the range οf the 12 data values, which is equal tο 27.
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What is the value of X in the equation 10 X -9 equals -49?
Answers
explanation
10x -9 = 49
10x -9 +9 = 49 + 9
10x = 58
10x/10 = 58/10
x = 5.8
checking your answer
10(5.8) -9 = 49
58 - 9 = 49
49 = 49