To determine Marissa's overall course average, we can calculate the weighted average based on the percentages for each component of the grade.
We can calculate the contributions of each component to the final grade using the following formula:
\[ \text{Course Average} = (\text{Attendance Average} \times \text{Attendance Weight}) + (\text{Quiz Average} \times \text{Quiz Weight}) + (\text{Exam Average} \times \text{Exam Weight}) + (\text{Final Exam Average} \times \text{Final Exam Weight}) \]
Substituting the values we have:
- Attendance Average = 100%
- Quiz Average = 89%
- Exam Average = 86%
- Final Exam Average = 85%
Using the weights:
- Attendance Weight = 0.05 (5%)
- Quiz Weight = 0.15 (15%)
- Exam Weight = 0.60 (60%)
- Final Exam Weight = 0.20 (20%)
Now we can calculate the contributions:
\[ \text{Course Average} = (100 \times 0.05) + (89 \times 0.15) + (86 \times 0.60) + (85 \times 0.20) \]
Calculating each term:
- Attendance: \(100 \times 0.05 = 5\)
- Quizzes: \(89 \times 0.15 = 13.35\)
- Exams: \(86 \times 0.60 = 51.6\)
- Final Exam: \(85 \times 0.20 = 17\)
Adding these contributions together:
\[ \text{Course Average} = 5 + 13.35 + 51.6 + 17 = 87.95 \]
Thus, Marissa's course average is 87.95%.
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