Assume that 11 people, including the husband and wife pair, apply for 5 sales positions. people are hired at random. (1) what is the probability that both the husband and wife are hired

The probability that both the husband and wife are hired is

Explanation

Total number of people = 11 and total number of sales positions = 5

So, the total possible number of ways for selecting 5 people from 11 people will be:

Now if both the husband and wife are hired, then it means the remaining (5-2)= 3 positions are filled from the remaining (11 -2) = 9 people.

So, the possible number of ways for selecting 3 people from 9 people will be:

Thus, the probability  

where are the options?

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.