Let
L---------> the length side of the box
W--------> the width side of the box
H-------> the height of the box
we know that

the surface area of the box is equal to

<u>Find the area of the base</u>

<u>Find the perimeter of the base</u>

<u>Find the surface area</u>


therefore
<u>the answer is</u>
the total area of the box that will be covered in gift wrap is 
Answer:
a)
So then we can conclude that the true proportion of women with cosmetic dermatitis from using eye shadow at 95% of confidence is between (0.0422 and 0.1410)
b) 
So then we can conclude that the true proportion of women with cosmetic dermatitis from using mascara at 95% of confidence is between (0.0628 and 0.1372)
c) For this case we see that both confidence intervals contains the value of 0.12 so then we can't conclude that only one group is referenced at the significance level of 0.05 used.
Step-by-step explanation:
Part a
The estimated proportion of women with cosmetic dermatitis from using eye shadow is given by:

The confidence interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the proportion is given by the following formula:
Replacing we got:
So then we can conclude that the true proportion of women with cosmetic dermatitis from using eye shadow at 95% of confidence is between (0.0422 and 0.1410)
Part b: A 95% confidence interval for the women with cosmetic dermatitis from using mascara

So then we can conclude that the true proportion of women with cosmetic dermatitis from using mascara at 95% of confidence is between (0.0628 and 0.1372)
Part c: Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow or mascara) is .12. Can you determine which group is referenced? Explain.
For this case we see that both confidence intervals contains the value of 0.12 so then we can't conclude that only one group is referenced at the significance level of 0.05 used.
9514 1404 393
Answer:
2r(20r +60) = 80r^2
Step-by-step explanation:
Anna's first investment:
20
Anna's first return:
20r
Anna's second investment:
20r +60
Anna's second return:
r(20r +60)
__
Hannah's first investment:
80
Hannah's first return, and her second investment:
80r
Hannah's second return:
80r^2
__
Twice Anna's return was equal to Hannah's return:
2r(20r +60) = 80r^2
Answer: 25,900 milligrams, but if the basket is included it would be 74,900 milligrams.
Hope this helps;)