Q:

In fall 2014, 36% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 18% with a Math SAT of less than 700 were admitted. Further, 38% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.)

Accepted Solution

A:
Answer:67% of admitted applicants had a Math SAT of 700 or more.Step-by-step explanation:Those following percentage of student were admitted to the university:36% of applicants with a Math SAT of 700 or more18% with a Math SAT of less than 700So, 36%+18% = 54% of the students were admitted.What percentage of admitted applicants had a Math SAT of 700 or more?Of the 54% students admitted, 36% had a Math SAT of 700 or more. So[tex]P = \frac{0.36}{0.54} = 0.667 = 0.67[/tex]67% of admitted applicants had a Math SAT of 700 or more.