An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%, 77%, and 81% on the first three exams, what must he score on the fourth test to maintain a 70% or better average.
Accepted Solution
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Answer:atleast 52Step-by-step explanation:Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.An applicant scored 70%, 77%, and 81% on the first three exams,Since weightages are not given we can assume all exams have equal weightsLet x be the score on the 4th testThen total of all 4 exams = [tex]70+77+81+x\\= 228+x[/tex]Average should exceed 70%i.e.[tex]\bar X \geq 70\\Total\geq 70(4) =280[/tex]Comparing the two totals we have[tex]228+x\geq 280\\x\geq 280-228 = 52[/tex]Hemust score on the fourth test a score atleast 52 to maintain a 70% or better average.