The student's semester average is 82.2.
Here's how to calculate the student's semester average:
Test average: 80 (weighted 30%)
Quiz average: 72 (weighted 30%)
Homework average: 90 (weighted 20%)
Classwork average: 93 (weighted 20%)
Step 1: Calculate weighted averages for tests and quizzes, and homework and classwork.
Tests and quizzes: (0.3 * 80) + (0.3 * 72) = 24 + 21.6 = 45.6
Homework and classwork: (0.2 * 90) + (0.2 * 93) = 18 + 18.6 = 36.6
Step 2: Calculate the overall average.
Combine the weighted averages and divide by the total weight (1): (45.6 + 36.6) / 1 = 82.2
Step 3: Round to the nearest tenth.
The student's overall average is 82.2 rounded to the nearest tenth.
Therefore, the student's semester average is 82.2.