Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
If this helped, please mark brainliest :D
Answer: 12 poles and 16 helmets
Step-by-step explanation:
3+4 =8
-4= -4
1.7
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answer:
The correct option is;
Both spreads are best described by the standard deviation
Step-by-step explanation:
The given information are;
, College High School
High, 20 20
Low, 6 3
Q₁, 8 5.5
Q₃, 18 16
IQR, 10 10.5
Median, 14 11
Mean, 13.3 11
σ, 5.2 5.4
Checking for outliers, we have
College
Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7
Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33
For high school
Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25
Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75
Therefore, there are no outliers and the data is representative of the population
From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2
The difference between the low and the high is also approximately 3 standard deviations
Therefore the college spread is best described by the standard deviation
Similarly for the high school students, the IQR is approximately two standard deviations, the difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4
Therefore the high school spread is also best described by the standard deviation.
Answer:
Both spreads are best described by the standard deviation
Step-by-step explanation:
which of the following is not a congruence theorem or postulate a) sas b) aas c) sss d) aa
Answer:
d)aa (AA is not congruence theorem, it is similarity postulate)
Step-by-step explanation:
Answer:
aa
Step-by-step explanation:
Which of the following is not a congruence theorem or postulate A. SSA B. SAS C. AAS D. SSS
Answer:ITS A
Step-by-step explanation:
SAS: side angle side
SSA: is not a congruence theorem
AAS:angle angle side
SSS:side side side
Answer:
The answer is A.
Step-by-step explanation:
Just took the test
PLs help ASAP will make you brainist
Answer:
c.18
Step-by-step explanation:
32/24=1.33333333333
40/30=1.33333333333
24/1.33333333333=18
Side ST correlates to side BC. Let's use these two sides to find the scale factor between the two triangles
[tex]\text{Scale Factor}=\dfrac{30}{40}=\dfrac{3}{4}[/tex]
Triangle ABC has side lengths are the 3/4 smaller than that of RTS. The value of x is the length of side AC, which correlates with side RS
Multiply 24 by 3/4 to find the value of x
[tex]x=\dfrac{3}{4}\times24=18[/tex]
This is answer choice C. Let me know if you need any clarifications, thanks!
9 is subtracted from 3 times the sum of 4 and 2
Answer:
9
Step-by-step explanation:
3 times the sum of 4 and 2 = 3*(4+2)
= 3 * 6
= 18
18 - 9 = 9
Solve by factoring 25x^2+5x-12=0
Answer:
x = -4/5 and x = 3/5.
Step-by-step explanation:
The coefficient of x^2 is 25, which is 5 * 5. 5 * -3 = -15, and 5 * 4 = 20. 20 - 15 = 5.
So...
25x^2 + 5x - 12 = 0
(5x + 4)(5x - 3) = 0
5x + 4 = 0
5x = -4
x = -4/5
5x - 3 = 0
5x = 3
x = 3/5
So, x = -4/5 and x = 3/5.
Hope this helps!
This graph shows how the length of a time kayak is rented is related to the rental cost. What is the rate of change shown in the graph?
Answer:
A.
Step-by-step explanation:
HELP
for his long distance phone service, tony pays a $5 monthly fee plus 9 cents per minute. last month, Tony's long distance bill was $17.96. for how many minutes was Tony billed?
Answer:
144 min.
Step-by-step explanation:
y=0.09x+5 ( x is the number of minutes, y is the bill amount)
17.96=0.09x+5
17.96-5=0.09x
x=12.96/0.09=144 minutes
Taylor had \$147$147dollar sign, 147. Then she spent \$42$42dollar sign, 42 on sneakers. Then, Taylor earned \$53$53dollar sign, 53 by winning a race in her new sneakers! Estimate how much money Taylor has left
Answer:
She has 158 dollars.
Step-by-step explanation:
This problem tells us that originally Taylor had 147 dollars, but she spent 42 dollars on sneakers, thus she now has [tex]147-42 = 105[/tex] dollars. However, she later won a race wearing those sneakers and earned 53 dollars, therefore she now has [tex]105 + 53 = 158[/tex] dollars.
Thus, Taylor has 158 dollars left now.
What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?
a.the oval method
b.the divide-center method
c.the area method
d.the regression calculator method
ty if you answer! :3
Answer:
c.the area method
Step-by-step explanation:
A scatterplot is a plotting of data that represents the relationship between the two variables that should be numerical in nature. The data points i.e to be shown in a horizontal and vertical axis represent that how much one variable affected by another variable.
In the area method, we plot a data and then draw a shape which can be in oval but it does not include the outliers but the other methods like oval method, divide center method, regression calculator includes the outliers
Therefore the option c is correct
Answer:
c.the area method
Step-by-step explanation:
c.the area method c.the area method c.the area method c.the area methodc.the area methodc.the area methodc.the area method c.the area method c.the area method c.the area method c.the area method c.the area method
A village P is 10km from a lorry station,Q on a bearing 065°.another village R is 8km from Q on a bearing 155°.calculate;1.the distance of R from P to the nearest kilometer and 2.the bearing of R from P to the nearest degree.
Answer:
Step-by-step explanation:
find the difference between the two angles first:
155-65=90 degrees
d is the distance d:
d^2=a^2+b^2-2ab cos(90)
d^2=10^2+8^2-2(10)(8)cos(90)
d^2=164
d=√164=12.81
the bearing of R from P to the nearest degree:
180-155=35 degrees
PLEASE PLEASE PLEASE HELPPPP ASAPPPP!!!! best answer I’ll give brainliest :) HELP ASAP!
Step-by-step explanation:
2The perimer of a traingle is the saum of its sides
P = 2(3x+7) + 2(2x+2)
3P= 2(3x+7) + 2*(2x+2) multiply (3x+7) and (2x+2) by 2 P= 6x+14+4x+4 add the khown values together P=6x+4x+18 add the terms with the variable xP= 10x+18write 4.83×10⁵ as an ordinary number
Answer:
483,000
Step-by-step explanation:
hope this helps :)
Answer:
The answer is 483,000 as an ordinary number
Step-by-step explanation:
Please answer this in two minutes
Answer:
[tex] s = 14.1 [/tex]
Step-by-step explanation:
Given:
<S = 31°
SQ = r = 9
SR = q = 21
s = ?
To find s, use the Law of Cosines:
s² = r² + q² - 2rs*cos(S)
[tex] s^2 = 9^2 + 21^2 - 2*9*21*cos(31) [/tex]
[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]
[tex] s^2 = 522 - 324.02 [/tex]
[tex] s^2 = 197.98 [/tex]
[tex] s = 14.1 [/tex] (nearest tenth)
An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00 per pound and clover seeds costing $13.00 per pound. If a worker is going to prepare some of this mix and has already measured out 26 pounds of poppy seeds, what quantity of clover seeds should he add?
Answer:
The quantity of clover seeds the worker will add is 11.14 pounds
Step-by-step explanation:
Let
x=Poppy seed
y=clover seed
24x+13y=20.70(x+y)
x=26 pounds
Substitute x=26 pounds into the equation
24x+13y=20.70(x+y)
24(26)+13y=20.70(26+y)
624+13y=538.2 +20.70y
Collect like terms
624-538.2=20.70y-13y
85.8=7.7y
Divide both sides by 7.7
y=85.8/7.7
=11.14 pounds
Therefore, the quantity of clover seeds the worker will add is 11.14 pounds
Answer:
A 11.14
Step-by-step explanation:
To solve this, add the total cost of the poppy seed ($24 × 26) to the cost of the clover seeds ($13x), then divide both by the total number of pounds the finished mixture will weigh.
A car bought for $20,000. Its value depreciates by 10% each year for 3 years. What is the car's worth after3 years?
Answer:
$14,580
Step-by-step explanation:
To start off, 10% of 20,000-one easy way to do this is to multiply 20,000 by 0.1, which is 10% in decimal form
-In doing that, you get 2,000
-Now the question says that the value is depreciated which means it goes down in value, so subtract 2,000 from 20,000 to 18,000
-the value of the car after one year is now $18,000
Now, let's move to the second year. This time find 10% of 18,000
-multiply 18,000 by 0.1 to get 1,800
-since the value is depreciating, or becoming less, we will subtract 1,800 from 18,000 to get 16,200
-the value of the car after two years is now $16,200
Finally, let's look at the value of the car after three years. Only this time, we will now find 10% of 16,200
-multiply 16,200 by 0.1 to get 1,620
-since value is being depreciated, or lessened, we will once again be subtracting. Subtract 1,620 from 16,200 to get 14,580
Therefore, the value of the car after three years is now $14,580.
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
Simplify (5 + 1)^2 - (12 + 3^2) = %3.
A. 29
B. -39
C. 5
D. -63
Answer:
29
Step-by-step explanation:
(5+1)^2-(12+3^2)/3 Add 5 and 1 = 6.
6^2-12+3^2/3 Calculate 6 to the power of 2 = 36.
36-12+3^2/3 Calculate 3 to the power of 2 = 9.
36-12+9/3 Add 12 and 9 = 21.
36-21/3 Divide 21 by 3 = 7.
36−7 Subtract 7 from 36 to get 29.
John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere on the board, what is the probability that the thumbtack will be placed on the inner circle? Use 3.14 for pi , and round your answer to the nearest whole percent. A. 51% B. 55% C. 57% D. 60%
Answer: A. 51%
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex] , where r = radius of the circle.
In the figure below, we have the complete question.
According to that,
Radius of outer circle = 7ft
Radius of inner circle = 5ft
The probability that the thumbtack will be placed on the inner circle
[tex]=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[/tex][π is canceled from numerator and denominator
in percent, [tex]\dfrac{25}{49}\times100=51.0204081633\%\approx51\%[/tex]
So, the probability that the thumbtack will be placed on the inner circle = 51%
Hence, the correct option is A. 51%.
The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?
You are correct. The higher the standard deviation is, the more spread out the data set will be. Nice work.
Answer:
Hey there! The correct answer is A. Data set C.
---
What is standard deviation?Standard deviation is simply defined as the spread of a data set in relation to the mean of the data set. The standard deviation can be calculated with a formula as shown below.
[tex]\displaystyle \sigma = \sqrt{\frac{\Sigma(x_i-\mu)^2}{N}[/tex]
What does each variable stand for?Each variable has a significant meaning for this formula.
[tex]\sigma[/tex] - the standard deviation of the population[tex]\Sigma[/tex] - the summation of all values after the symbol[tex]x_i[/tex] - all data values in the set[tex]\mu[/tex] - the mean of the population[tex]N[/tex] - the number of data valuesWith this information, we can find the standard deviation of a data set.
What does standard deviation mean for a data set?Generally speaking, statisticians want a standard deviation that is on the lower end so that conclusions can be drawn about the data that was observed.
If a standard deviation is large, that means that most of the data is quite far from the mean and the data usually disproves a hypothesis. This is undesirable since the original hypothesis cannot be proven with this experiment.
When the standard deviation is quite low, this points to data that can be relied upon since it fulfills the initial requirement to prove the hypothesis.
Therefore, since the highest standard deviation correlates with the most spread out data, A. Data set C is the answer.
Please Help! Two lines, A and B, are represented by the following equations: Line A: y = x − 1 Line B: y = −3x + 11 Which of the following options shows the solution to the system of equations and explains why? (3, 2), because the point does not lie on any axis (3, 2), because one of the lines passes through this point (3, 2), because the point lies between the two axes (3, 2), because both lines pass through this point
Answer:
The last choice (3,2), because both lines pass through this point.
Step-by-step explanation:
For a point to be a solution to a system of linear equations, both equation's lines have to pass through that same point.
Answer: (3, 2), because both lines pass through this point
Step-by-stepexplanation:
This can be solved by substitution. The graph will show the same result.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Domain: 0 [tex]\leq[/tex] t [tex]\leq[/tex] 40 Range: 0 [tex]\leq[/tex] V(t) [tex]\leq[/tex] 200
Step-by-step explanation:
The domain is greater than or equal to 0 and less than or equal to 40 because in 40 months, she will lose all her money ($5 x 40months = $200) since she loses 5 dollars per month. Not to mention, time can't be negative in any situation. For the range, the value has to be greater than or equal to zero and less than or equal to 200 because she only has $200, the more time she spends using the phone, the more money she will lose over the course of the month( limiting her time). I hope this helps!
Answer:
Domain: [tex]0\leq t\leq 40[/tex]; Range: [tex]0\leq V(t)\leq 200[/tex]
Step-by-step explanation:
The price of the cellphone was initially of $200. Each month, its price decreases by $5. Then, you have that for 200/5 = 40 month the price of the cellphone will be of $0.
The price of any object always will have a positive value. If V(t) is a function that describes the price of the cellphone in time t, with t in months, you have that the domain of the function is given by the total amount of months on which the cellphone has some price, that is, for:
[tex]0\leq t\leq 40[/tex]
The range of the function is the price of the cellphone. Its initial price was $200 (maximum price) and its final price after 40 months is $0 (minimum price). Hence, the range of the function is:
[tex]0\leq V(t)\leq 200[/tex]
11 POINTS! GEOMETRY!! Find the area of the composite function and explain how you broke the shape into pieces to find the area.
Answer:
370 mm²
Step-by-step explanation:
The area of this figure can be calculated by taking the whole figure as a full rectangle, and consider the part that is cut out from the middle of the shape as another rectangle.
Find the area of the cut-out part and subtract from the area of the full rectangular shape to get the area of the composite figure.
=>Area of full rectangular shape:
Length = 30 mm
Width = 15 mm
Area = L * B = 30*15 = 450 mm²
=>Area of the cut-out Rectangle part:
Length = 10 mm
Width = 8 mm
Area = 10*8 = 80 mm²
=>Area of composite figure = 450 mm² - 80 mm² = 370 mm²
Please help out show work ty!
Answer:
C
Step-by-step explanation:
This is because it has a constant rate of change.
5 x 1.5 = 7.5
6 x 1.5 = 9
7 x 1.5 = 10.5
You can find this image by dividing y by x and testing this rate of change on the other y values. Thus C is correct.
pls help me with this (ill give brainliest)
Answer:
72.96
Step-by-step explanation:
Let the first circle's radius be r and quarter circle's radius be R
Area of circle = π[tex]r^{2}[/tex]
= 3.14 × 8 × 8
= 200.96 [tex]cm^{2}[/tex]
Area of quarter circle = π[tex]R^{2}[/tex]/4
= 3.14 × 16 × 16
= 803. 84/4
=200.96
Area of shaded portion = (Area of Quarter circle - Area of semi-circle ACD - Area of triangle ABC) + (Area of the circle - Area of semi-circle ACD - Area of triangle ABC)
Area of Semi-circle = Area of the circle divided by 2
= 100.48
Area of triangle = [tex]\frac{bh}{2}[/tex]
= [tex]\frac{16 * 8}{2}[/tex]
= 64
Therefore, The area of shaded portion= (200.96-100.48-64) + (200.96 - 100.48 - 64)
= 36.48 +36.48
=72.96
Factorize: 14x^6-45x^3y^3-14y^6
Answer:
(7x^3+2y^3)(2x^3−7y^3)
PLS HELP THE 1ST PERSON TO ANSWER THIS CORRECTLY AND EXPLAINS IT ILL MARK BRAILIEST. What is the solution to the equation 3.6m − 2.7 = −1.8m? m = 0.25 m = 0.5 m = 1.25 m = 1.5
Answer:
m=0.5
Step-by-step explanation:
Copy the equation.
3.6m-2.7=-1.8m
Subtract 3.6m from both sides.
-2.7=-5.4m
Divide by -5.4 on both sides.
0.5
Below, is the sample size, is the population proportion and is the sample proportion. Use the Central Limit Theorem and the TI-84 calculator to find the probability. Round the answer to at least four decimal places.
n=111
p=0.54
P (P > 0.60) =
Answer:
Binomial probability online calculator gives P([tex]\hat p[/tex]>0.60) =0.1054
Step-by-step explanation:
Given that n = 111
p = 0.54
To find P([tex]\hat p[/tex]>0.60)
We have;
P([tex]\hat p[/tex]>0.60) = [tex]P \left (\dfrac{0.6 - p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}} > Z \right )[/tex]
P([tex]\hat p[/tex]>0.60) = [tex]P \left (\dfrac{0.6 - 0.54}{\sqrt{\dfrac{0.54(1-0.54)}{111}}} > Z \right )[/tex]
P([tex]\hat p[/tex]>0.60) = P(1.268 > Z) = 1 - 0.8962 = 0.1038
The above result was obtained from calculation
Binomial probability online calculator gives P([tex]\hat p[/tex]>0.60) =0.1054.
2. The length of a rectangle is 5 cm more than its width. If the perimeter of the rectangle
is 40 cm, find the area of the rectangle.
Answer:
93.75 cm^2
Step-by-step explanation:
The breadth = x cm
length=x+5 cm
perimeter =2 (l+b) which becomes
2 (x+5+x)=4x+10 cm:
4x+10=40
4x=30
x=30/4=7.5
so, breadth = 7.5 cm
length = 12.5 cm,
area = 12.5*7.5 = 93.75
Step-by-step explanation:
perimeter of the rectangle= 2(length+width)
let the known width be 'x'
length be 5+x
40 = 2(5+x+x)
40 = 10+2x+2x
40-10 = 4x
30/4 = 4x/4
x = 7.5
width=7.5cm
length= 7.5+5 = 12.5cm
area = length×width
area = 12.5×7.5 = 93.75cm²
Kate opens a savings account with a deposit of $1250. After 2 years, she has
receives $112.50 in interest. What is the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Simple interest:
I = Prt
112.5 = 1250(r)(2)
1250r = 56.25
r = 0.045 = 4.5%
Answer: 4.5%