Acompany administers an "aptitude test for managers" to aid in selecting new management trainees. prior experience suggests that 60 percent of all applications for management trainee positions would be successful if they were hired. furthermore, past experience with the aptitude test indicates that 85 percent of applicants who turn out to be successful managers pass the test and 90 percent of applicants who do not turn out to be successful managers fail the test.

0.94

Step-by-step explanation:

The question after this basically is:

"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"

So,

P(successful if hired) = 60% = 0.6 [let it be P(x)]

P(success at passing the test) = 85% = 0.85   [let it be P(y)]

P(successful and pass the test) =  P(x) + P(y) -[P(x)*P(y)]

So,

P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice