A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high –IQ society. There are 110,000 Mensa members in 100 countries throughout the world. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa?

Step-by-step explanation:

Upper 2% means , the Z value must be .98

P ( X - k ) = .98

from the chart the value is found to be 2 .07 .

Hence

(X - 100) / 15 = 2.07

X - 100 = 31.05

X = 131.05

The person must score 131.05 in the IQ test .

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

yes

step-by-step explanation:

yes