Out of 300 applicants for a job, 168 are female and 48 are female and have a graduate degree. if 95 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree? express your answer as a fraction or a decimal rounded to four decimal places.

0.505

Step-by-step explanation:

Data provided in the question:

Total number of applicants for a job = 300

Female applicants = 168

Female and have a graduate degree = 48

Number of applicants with graduate degree = 95

P(Female and have a graduate degree ) =

P( applicants with graduate degree) =

Now,

probability that a randomly chosen applicant is female, given that the applicant has a graduate degree

=

=

= 0.505

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,