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Question
a student’s course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 15% of his final grade, a set of homework assignments that counts as 40% of his final grade, and a final exam that counts as 35% of his final grade. his midterm score is 78, his project score is 89, his homework score is 89, and his final exam score is 80. 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 (type an integer or a decimal. do not round.)
Step1: Calculate midterm contribution
Midterm score: 78, weight: 10% = 0.1. Contribution: \( 78 \times 0.1 = 7.8 \)
Step2: Calculate project contribution
Project score: 89, weight: 15% = 0.15. Contribution: \( 89 \times 0.15 = 13.35 \)
Step3: Calculate homework contribution
Homework score: 89, weight: 40% = 0.4. Contribution: \( 89 \times 0.4 = 35.6 \)
Step4: Calculate final exam contribution
Final exam score: 80, weight: 35% = 0.35. Contribution: \( 80 \times 0.35 = 28 \)
Step5: Sum all contributions
Total score: \( 7.8 + 13.35 + 35.6 + 28 = 84.75 \)
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84.75