Find the z-score that has 72.2% of the distribution's area to its right. The z-score is

The z-score that has 72.2% of the distribution's area to its right is z=-0.58879.

Step-by-step explanation:

To find the z-score that has 72.2% of the distribution's area to its right, we have to find z* that satisfies this condition:

This can also be written as:

This can be looked up in the z-score table or in an applet.

The z-score that has 72.2% of the distribution's area to its right is z=-0.58879.

The curve is attached with this example.

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