In a county, Algebra students' ages follow a skewed distribution with a mean of 16 years old and a standard
deviation of 3 years. 200 students are randomly selected.
The following statements about the sampling distribution of
the sample mean age can be made.
I. The mean of the sampling distribution is
approximately 9 years.
II. The shape of the sampling distribution is
approximately normal.
III. The standard deviation of the sampling distribution
is equal to 0.21 years.
Which of the statements are true

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

a

step-by-step explanation:

3

step-by-step explanation:

the answer is 40.

proof: