A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.

0.9432

Step-by-step explanation:

Given that

Based on this, the proportion of the shirt price between the given range is

As we know that

For 37 dollars

For 59.35 dollars

This results into

= P(37.0 < x < 59.35)

= P(-1.6 < z < 2.87)

= P(Z < 2.87) - P(Z < -1.6)

So,

= P(37.0 < x < 59.35)

= 0.9979 - 0.0547

= 0.9432

Refer to Z score table

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet