In Exercises 29–36, answer the given questions, which are related to percentages.

Checking Job Applicants In a study conducted by the Society for Human Resource Management, 347 human resource professionals were surveyed. Of those surveyed, 73% said that their companies conduct criminal background checks on all job applicants.

a.What is the exact value that is 73% of the 347 survey subjects?

b. Could the result from part (a) be the actual number of survey subjects who said that their companies conduct criminal background checks on all job applicants? Why or why not?

c. What is the actual number of survey subjects who said that their company conducts criminal background checks on all job applicants?

d. Assume that 112 of the survey subjects are females. What percentage of those surveyed are females?

Society of human resource management surveyed 347 human resource professionals.

Out of these, 73% responded that their companies checked the criminal background of all job applicants.

a.

The symbol % implies that a value is divided by 100.

Here, 73% of the 347 subjects surveyed are:

$$\begin{gathered} 73\%\times 347=\frac{73}{100}\times 347 \\ =253.31\text{subjects} \end{gathered}$$

Thus, 73% of 347 subjects is 253.31 subjects.

b.

The actual count should be a whole number, not a decimal number. Thus, the value 253.31 in part (a) cannot be the actual number of responses from the surveyed human resource professionals.

c.

The actual count can be obtained byrounding offthe decimal valuein step 2 to a whole number.

Thus, the actual count of professionals equivalent to 73% of survey responses is 253.

d.

It is known that 112 subjects in the survey were females.

The fraction of females in 347 subjects is $\frac{112}{347}$ .

The formula for determining percentage from the fraction is:

$\frac{112}{347}\times 100=32.2767\%$

Thus, 32.2767% of the subjects surveyed are female.