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 5​% of his final​ grade, a set of homework assignments that counts as 45​% of his final​ grade, and a final exam that counts as 40​% of his final grade. His midterm score is 60​, his project score is 80​, his homework score is 75​, and his final exam score is 78. 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.

Answer 1

The student's overall final score is 74.95 and he earned a C grade.

Step-by-step explanation:

To calculate the student's overall final score, we need to find the weighted average of each component based on their respective percentages.

Step 1: Convert the scores to their weighted values:

Midterm: 60 * 0.1 = 6

Project: 80 * 0.05 = 4

Homework: 75 * 0.45 = 33.75

Final exam: 78 * 0.4 = 31.2

Step 2: Add up the weighted values: 6 + 4 + 33.75 + 31.2 = 74.95

Therefore, the student's overall final score is 74.95.

Based on the grading scale provided, a mean score of 90 or above is an A, 80 to 89 is a B, and so on. Since the student's overall final score is below 80, he would earn a C grade.