In fall 2014, 34% of applicants with a Math SAT of 700 or

2021-12-20 Answered
In fall 2014, 34% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 16% with a Math SAT of less than 700 were admitted. Further, 36% 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.)
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Answers (1)

Jeffrey Jordon
Answered 2022-01-02 Author has 2027 answers

Percent of candidates admitted = Percent of Math SAT score more than 700 and admitted + Percent of Math SAT score less than 700 and admitted

=36×0.34+(10036)×0.16

=22.48

Percentage of admitted applicants that had a Math SAT of 700 or more =36×0.3422.48

=0.55×100

=55%

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