The heights of adult men in america are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches. the heights of adult women in america are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.53 inches. a) if a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? z = b) what percentage of men are shorter than 6 feet 3 inches? round to nearest tenth of a percent. % c) if a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? z = d) what percentage of women are taller than 5 feet 11 inches? round to nearest tenth of a percent.

Step-by-step explanation:

Let X be the heights of adult men in America and Y that of women in America

X is N(69.8, 2.69) and Y is N(64.8,2.53)

a) Man is 6 feet 3 inches = 75 inches

Z score =

b) Prob = 0.5-0.4686 = 0.0314

3.14% are shorter than him

c) Y score = 5 ft 11 inches = 71 inches

Z=

d) Prob (Z>2.45) = 0.5-0.4929=0.0071

Nearly 0.71% people are taller than 5 ft 11 inches.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.