A set of college student heights are normally distributed with a mean of 170.4 centimeters and a standard deviation of 10 centimeters. What proportion of student heights are between 145 centimeters and 171 centimeters? You may round your answer to four decimal places.

0.550127

Step-by-step explanation:

Prob ( 145 < x < 171) =

Prob (  (145 - 170.4)/10 < z < (171-170.4)/10 ) =

Prob ( -2.54 < z < 0.14) =

Prob ( z < 0.14) - Prob (  z< -2.54) =

0.550127

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)