A person's IQ (Intelligence Quotient) is supposed to be a measure of his or her "intelligence." The IQ test scores are normally distributed and are scaled to a mean of 100 and a standard deviation of 15. It is often said that a genius is someone with an IQ of 140 or more. What is the z-score for a 140 IQ? (Round your answer to one decimal place.) z = What percentage of the population scores as a genius? Round your answer as a percentage to one decimal place. %

2.7 and 99.6%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of the population scores as a genius.

We proceed as follows;

z =( Mean - value)/standard deviation= (140 - 100)/15 = 2.6667 = 2.7

From normal probability table, given that z = 2.67, the probability is 0.9962

This means that the required percentage is 99.6%

yes

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b