Answer:
81.85% of days would you expect the store to sell from 33 to 42 pairs of shoes
Step-by-step explanation:
The mean number of pairs of shoes sold by a shoe store is 36
![\mu = 36](https://tex.z-dn.net/?f=%5Cmu%20%3D%2036)
Standard deviation = ![\sigma = 3](https://tex.z-dn.net/?f=%5Csigma%20%3D%203)
We are supposed to find percent of days would you expect the store to sell from 33 to 42 pairs of shoes i.e.P(33<x<42)
Formula : ![Z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
At x = 33
![Z=\frac{33-36}{3}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B33-36%7D%7B3%7D)
Z=-1
Refer the z table for p value
p =0.1587
At x = 42
![Z=\frac{42-36}{3}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B42-36%7D%7B3%7D)
Z=2
Refer the z table for p value
p =0.9772
So,P(33<x<42)=P(x<42)-P(x<33)=0.9772-0.1587=0.8185
Hence 81.85% of days would you expect the store to sell from 33 to 42 pairs of shoes
It's three to the power of four sevenths square inches.
Hope this will help you!
3x = 2x ( alternate exterior angel)
3x - 2x = 0
x = 0