A random sample of 80 employees at a large grocery store with multiple locations was asked if they spend more than 30 minutes commuting to work. Assume the true proportion of employees that spend more than 30 minutes commuting to work 35%, which of the following is closest to the probability that more than 30 employees in a sample of 80 employees would respond that they spend more than 30 minutes commuting to work each day?

add an image

step-by-step explanation:

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

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

3

step-by-step explanation: