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3 years ago

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7. The graph was made to compare the costs of renting copy machines

1 answer:

AysviL [449]3 years ago

7 0

The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies

<h3>How to interpret the point of intersection </h3>

The point of intersection is the equilibrium point of both companies.

This means that, the point represents where the number of copies and the total cost per month for both companies is equal

Hence, the information given by the point of intersection of the two lines is (d)

Read more about point of intersection at:

brainly.com/question/9109827

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There was a party with 50 students. They had a cylinder root beer keg that was 17 inches in height and 13 inches in diameter. Th

Radda [10]

Answer:

Yes, there will be enough root beer for everyone to have at least one cup

Step-by-step explanation:

step 1

Find the volume of the cylinder root beer keg

The volume is equal to

$V=\pi r^{2} h$

we have

$r=13/2=6.5\ in$ -----> the radius is half the diameter

$h=17\ in$

substitute

$V=\pi (6.5)^{2} (17)$

$V=718.25\pi\ in^{3}$

step 2

Find the volume of the cylinder cups

The volume is equal to

$V=\pi r^{2} h$

we have

$r=3/2=1.5\ in$ -----> the radius is half the diameter

$h=4\frac{3}{4}\ in=4.75\ in$

substitute

$V=\pi (1.5)^{2} (4.75)$

$V=10.6875\pi\ in^{3}$

step 3

Multiply the volume of one cup by 50 (the total number of students) and then compare the result with the volume of the cylinder root beer keg

so

$10.6875\pi*(50)=534.375\pi\ in^{3}$

$534.375\pi\ in^{3}< 718.25\pi\ in^{3}$

therefore

There will be enough root beer for everyone to have at least one cup

4 0

3 years ago

Read 2 more answers

"Find the coefficient of determination given that the correlation coefficient = -.39"

nika2105 [10]

Answer:

$r = -0.39$

And the determination coeffcient is just the correlation coeffcient square and we got:

$R = r^2 = (-0.39)^2 =0.1521$

And rounded to the nearest tenth thousand would be 0.1521

Step-by-step explanation:

The correlation coefficient is a measure of variability and is given by this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case we have

$r = -0.39$

And the determination coeffcient is just the correlation coeffcient square and we got:

$R = r^2 = (-0.39)^2 =0.1521$

And rounded to the nearest tenth thousand would be 0.1521

4 0

3 years ago

Describe the quadratic function:<br> f (x) = (x - 7)^2

Artist 52 [7]

Answer:

Step-by-step explanation:

(x-7)^2

(x-7) ( x-7)

$x^{2}$ -14x + 49

it's a perfect square function

5 0

3 years ago

The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

8 0

3 years ago

Can some one please help me with this math question? Please and thank you

Bond [772]

Answer:

$V = 6373.2cm^3$

Step-by-step explanation:

Given

$V = \frac{4}{3}\pi r^3$ --- Volume

$D = 23cm$ --- Diameter

Required

Find the volume

First, we calculate the radius, r

$r = \frac{1}{2}D$

Substitute 23 for D

$r = \frac{1}{2} * 23$

$r = 11.5$

Substitute 11.5 for r in $V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3} * \frac{22}{7} * 11.5^3$

$V = \frac{4*22*11.5^3}{3*7}$

$V = \frac{133837}{21}$

$V = 6373.19047619$

$V = 6373.2cm^3$

5 0

3 years ago