To calculate the student's final grade for the class, we need to account for the weighted contributions of each component (homework, projects, quizzes, exams) based on their respective weights. We can follow these steps:
1. Find the weighted grade for each component:
- Homework:
- Weight: 0.04 (which is 4%)
- Grade: 90
- Weighted Grade = [tex]\( 0.04 \times 90 = 3.6 \)[/tex]
- Projects:
- Weight: 0.20 (which is 20%)
- Grade: 65
- Weighted Grade = [tex]\( 0.20 \times 65 = 13.0 \)[/tex]
- Quiz:
- Weight: 0.16 (which is 16%)
- Grade: 84
- Weighted Grade = [tex]\( 0.16 \times 84 = 13.44 \)[/tex]
- Exams:
- Weight: 0.60 (which is 60%)
- Grade: 88
- Weighted Grade = [tex]\( 0.60 \times 88 = 52.8 \)[/tex]
2. Calculate the total weighted grade:
- Total Weighted Grade = [tex]\( 3.6 + 13.0 + 13.44 + 52.8 = 82.84 \)[/tex]
3. Round the total weighted grade to the nearest whole number:
- Final Grade = [tex]\( \text{round}(82.84) = 83 \)[/tex]
Therefore, the student's final grade for the class, rounded to the nearest whole number, is 83.
