Each side after the cut-out is (s-2c) where s is the original side length and c is the size of the cut so:

V=hlw, h=x and l and w are both (x-8)

V=x(x-8)(x-8)

V=x(x^2-16x+64)

V=x^3-16x^2+64x

5 0

3 years ago

Patrisse and Makayla began arguing about who did better on their tests, but they couldn't decide who did better given that they

hodyreva [135]

a) Z-score for Patrisse test grade is 0.7288

b) z-score for Makayla test grade is -0.7441

c) Patrisse did better.

<h3>What is z- score?</h3>

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score for Patrisse test grade.

X= 81.4, $\mu$ = 72.8, $\sigma$ = 11.8

Z= x- $\mu$ / $\sigma$

Z= 81.4 - 72.8/ 11.8

Z= 0.7288

Now, z-score for Makayla test grade.

X= 60.6, $\mu$ = 67, $\sigma$ = 8.6

Z= x- $\mu$ / $\sigma$

Z= 60.6 - 67/ 8.6

Z= -0.7441

Hence, Patrisse did better as she had better z- score.

Learn more about this concept here:

brainly.com/question/23261840

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8 0

2 years ago