A large company claims that the average age of their employees is 32 years, with a standard deviation of four years. The average age of employees in the sales department at the company is 27 years. Given that the data is approximately normal, standardize the age of the employees at the company and find the area under the normal curve below the standardized employee age.

A. The area below the standardized employee age is 0.2358

B. The area below the standardized employee age is 0.8944.

C. The area below the standardized employee age is 0.1056

D. The area below the standardized employee age is 0.7642

a

b

d

step-by-step explanation:

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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