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Jeffery has grades of 93 and 81 on the first two testes of the quarter. Progress reports are sent home after the third test. He needs an A average. What grades doe Jeffery at least have to make on the third test?

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Answer:

96 or 97

Step-by-step explanation:

Jeffery must have at least 97 in his third test in order to have an A average

Mean is the same as average and it is the ratio of the sum of a  given sequence of numbers to the sample size. Mathematically;

[tex]Average =\frac{\sum x}{N}[/tex]

x values are the given numbers

N is the sample size

If Jeffery has grades of 93 and 81 on the first two tests of the quarter and he needs a score in the third test for him to have an average of A, then we can assume that an A grade is 90 and the third score is x to have:

[tex]\frac{93 + 81 + x}{3} >90[/tex]

Cross multiply

[tex]93 + 81 + x > 3(90)\\174 + x > 270\\x > 270-174\\x>96\\[/tex]

This shows that Jeffery's score in his last test must be greater than 96 for him to have an A average. Hence Jeffery must have at least 97 in his third test in order to have an A average

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