Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty- five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise.

a. What is the probability that an employee will have a cold next year?
b. Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year?

a) P=0.2

b) P=0.1

Step-by-step explanation:

We have a total of 1,000 employees in the company.

Out of this 1,000 employees, 200 had colds. If this proportion allow us to estimate the probability of next year colds, we have:

If we take only the ones that are involved in excercise programs, we have 50 cases of cold out of 500 employees (half of the total employees).

The probabillity of cold for them is then:

1 3 5

step-by-step explanation:

i took the test: )

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is