In a large city, the heights of 10-year-old children are approximately normally distributed with a mean of 53.7 inches and standard deviation of 7 inches.

(a) what is the probability that a randomly chosen 10-year-old child has a height that is less than than 38.2 inches? round your answer to 3 decimal places.

(b) what is the probability that a randomly chosen 10-year-old child has a height that is more than 40.3 inches? round your answer to 3 decimal places

(A) 40.67

(B) 57.98

Step-by-step explanation:

I did it in my head

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2