Question

a student’s course grade is based on one midterm that counts as 5% of his final grade, one class project that counts as 5% of his final grade, a set of homework assignments that counts as 35% of his final grade, and a final exam that counts as 55% of his final grade. his midterm score is 74, his project score is 90, his homework score is 84, and his final exam score is 70. 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.)

Explanation:

Step1: Calculate midterm contribution

Midterm counts 5%, score 74. Contribution: \( 74 \times 0.05 \)
\( 74 \times 0.05 = 3.7 \)

Step2: Calculate project contribution

Project counts 5%, score 90. Contribution: \( 90 \times 0.05 \)
\( 90 \times 0.05 = 4.5 \)

Step3: Calculate homework contribution

Homework counts 35%, score 84. Contribution: \( 84 \times 0.35 \)
\( 84 \times 0.35 = 29.4 \)

Step4: Calculate final exam contribution

Final exam counts 55%, score 70. Contribution: \( 70 \times 0.55 \)
\( 70 \times 0.55 = 38.5 \)

Step5: Sum all contributions

Total score: \( 3.7 + 4.5 + 29.4 + 38.5 \)
\( 3.7 + 4.5 = 8.2 \); \( 8.2 + 29.4 = 37.6 \); \( 37.6 + 38.5 = 76.1 \)

Answer:

76.1

To determine the letter grade: Since 70 ≤ 76.1 < 80, the letter grade is C. But for the overall final score, it's 76.1.