Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 65 inches and the standard deviation is 3 inches, 68% of the population will have a height within which of the following ranges?

Step-by-step explanation:

The empirical rule states that at 95% the measurements would be within 2 standard deviations of the mean.

You are given a mean of 68 inches and a standard deviation of 4.

2 times the standard deviation = 2 x 4 = 8

So 95% of the heights would be between 68-8 = 60 inches and 68+8 = 76 inches.

Step-by-step explanation:

The empirical rule states that at 95% the measurements would be within 2 standard deviations of the mean.

You are given a mean of 68 inches and a standard deviation of 4.

2 times the standard deviation = 2 x 4 = 8

So 95% of the heights would be between 68-8 = 60 inches and 68+8 = 76 inches.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

35 is an outlier

step-by-step explanation: