IQ test scores are normally distributed with a mean of 100 and a standard deviation of 12. An individual's IQ score is found to be 127. Find the z-score corresponding to this value.

The z-score corresponding to this value is 2.25

Step-by-step explanation:

In this question, we are asked to calculate the z-score of an IQ test.

To do this, what we need to do is to use the z-score formula

It’s mathematical form is written as follows:

Z-score = (x-mean)/s.d

Where x is the value in question which is 127 in this case

Mean is the arithmetic mean or average which is 100 in this case

S.d is standard deviation which is 12 in this case. We substitute these values into the equation.

Z-score= (127-100)/12 = 27/12 = 9/4 = 2.25

The z-score in this case is 2.25

yes

step-by-step explanation:

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