IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is an international society that has one and only one qualification for membership: a score in the top 2% on an IQ test. a. What IQ score should one have in order to be eligible for Mensa

130.81

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ,

where from the question:

x is the raw score = ?

μ is the population mean = 100

σ is the population standard deviation = 15

We are told in the question that:

Mensa is an international society that has one and only one qualification for membership: a score in the top 2% on an IQ test.

The top 2% means a score in the 98th percentile

The z score of the 98th percentile = 2.054

Hence:

2.054 = x - 100/15

Cross Multiply

2.054 × 15 = x - 100

30.81 = x - 100

x = 30.81 + 100

x = 130.81

The IQ score that one should have in order to be eligible for Mensa is the score of 130.81

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day