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Arturiano [62]
3 years ago
15

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from

$9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue?
(Revenue = price x number of backpacks.)

A. $9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B. $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D. $15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
Mathematics
2 answers:
Anettt [7]3 years ago
8 0
Letter C has the highest revenue so we will just have to check if it is correct.

-2(12.50)+50 = 25
Revenue = <span>price x number of backpacks
Revenue = 25 x $12.50
Revenue = $312.50

So, letter C is the correct answer.</span>
kirill [66]3 years ago
8 0

Answer:

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Step-by-step explanation:

It's c, i got it right on edge

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postnew [5]

Answer:

The line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

Step-by-step explanation:

Given the points

  • (0, 4)
  • (5, 2)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2-4}{5-0}

m=-\frac{2}{5}

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

y  = mx+b

y\:=-\frac{2}{5}x+4

Therefore, the line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

6 0
2 years ago
A researcher working in a Human Resources department was interested in gender and sales figures so he conducted a t-test. The me
irina1246 [14]

Answer:

d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

And on this case 1.713>0.8 so we have a large effect size

This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

Step-by-step explanation:

Previous concepts

The Effect size is a "quantitative measure of the magnitude of the experimenter effect. "

The Cohen's d effect size is given by  the following formula:

d = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1 +s^2_2}{2}}}

Solution to the problem

And for this case we can assume:

\bar X_1 =78.24 the mean for females

\bar X_2 =66.25 the mean for males

s_1 = s_2= 7 represent the deviations for both groups

And if we replace we got:

d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

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This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

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I pretty sure the best answer would be f(x)=cbrt(27-x)

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