Question

a student’s course grade is based on one midterm that counts as 15% of his final grade, one class project that counts as 15% of his final grade, a set of homework assignments that counts as 45% of his final grade, and a final exam that counts as 25% of his final grade. his midterm score is 72, his project score is 81, his homework score is 88, and his final exam score is 72. what is his overall final score? (round to one decimal place as needed.)

Explanation:

Step1: Calculate midterm contribution

Midterm weight: 15%, score: 72. Contribution: \( 72 \times 0.15 = 10.8 \)

Step2: Calculate project contribution

Project weight: 15%, score: 81. Contribution: \( 81 \times 0.15 = 12.15 \)

Step3: Calculate homework contribution

Homework weight: 45%, score: 88. Contribution: \( 88 \times 0.45 = 39.6 \)

Step4: Calculate final exam contribution

Final exam weight: 25%, score: 72. Contribution: \( 72 \times 0.25 = 18 \)

Step5: Sum all contributions

Total score: \( 10.8 + 12.15 + 39.6 + 18 = 80.55 \)

Step6: Round to one decimal

Rounded score: \( 80.6 \) (since the second decimal is 5, we round up the first decimal)

Answer:

80.6