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10 February, 07:28

A student's course grade is based on one midterm that counts as 5 % of his final grade, one class project that counts as 25 % of his final grade, a set of homework assignments that counts as 35 % of his final grade, and a final exam that counts as 35 % of his final grade. His midterm score is 72 , his project score is 83 , his homework score is 91 , and his final exam score is 74. What is his overall final score? What letter grade did he earn (A, B, C, D, or F) ? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on. His overall final score is nothing.

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  1. 10 February, 07:37
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    His overal final score is 81.2. His letter grade is a B.

    Step-by-step explanation:

    Weighed average:

    The sum of all values multiplied by it's weight. The weight is a proportion (a value between 0 and 1).

    So.

    Score of 72 on the midterm, which counts 5%.

    Score of 83 on the project score, which counts 25%.

    Score of 91 on homework assignments, which counts 35%.

    Score of 74 on the final exam, which counts 35%.

    His grade is:

    G = 72*0.05 + 83*0.25 + 91*0.35 + 74*0.35 = 82.1.

    His overal final score is 81.2.

    At least 80 but less than 90 is a B

    So his letter grade is a B.
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