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.

lol we need to see what the question is asking about

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!