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The admissions office of a private university released the following data for the preceding academic year: From a pool of 3900 m

Finger [1]

Answer:

a. 0.09 or 9%

b. 0.324 or 32.4%

c. 0.0972 or 9.72%

Step-by-step explanation:

Male applicants = 3900

Female applicants = 3600

Total applicants = 7,500

Proportion of male applicants (m) = 0.52

Proportion of female applicants (f) = 0.48

a. The probability that a random male applicant is accepted and enrolls is given by the probability of a male student being accepted multiplied by the probability of a male student enrolling:

$P(a) = 0.30*0.30=0.09=9\%$

b. The probability that a random student is accepted is given by the probability of a male applicant being accepted added to the probability of a female applicant being accepted

$P(b) = m*0.30+f*0.35\\P(b) = 0.52*0.30+0.48*0.35\\P(b) = 0.324=32.4\%$

c. The probability that a random student is accepted and enrolls is given by the probability of a male applicant being accepted and enrolling added to the probability of a female applicant being accepted and enrolling

$P(b) = m*0.30*0.30+f*0.35*0.30\\P(b) = 0.52*0.30*0.30+0.48*0.35*0.30\\P(b) = 0.0972=9.72\%$

7 0

3 years ago

4 divided by 1/3 is 12 becuase

Alex17521 [72]

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

So:

4÷1/3 would become 4×3/1

4×3/1 is the same as 4×3

So:

4×3=12

That's why the answer is 12.

8 0

2 years ago

Someone help I don't know this trig question

solong [7]

Answer:

Bill is 9.80 km apart from Concert