To calculate your overall grade in the class after including your final exam grade, you can use the following formula:
\[ \text{Overall Grade} = (\text{Current Grade} \times \text{Weight of Current Grade}) + (\text{Final Exam Grade} \times \text{Weight of Final Exam}) \]
Given:
- Current Grade (Overall grade in class) = 79
- Weight of Current Grade = 75% (since the final exam is 25%)
- Final Exam Grade = 47.6
- Weight of Final Exam = 25%
Now, plug in the values:
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Calculate the weighted current grade: \[ \text{Weighted Current Grade} = 79 \times 0.75 = 59.25 \]
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Calculate the weighted final exam grade: \[ \text{Weighted Final Exam Grade} = 47.6 \times 0.25 = 11.9 \]
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Add the two weighted grades together to get the overall grade: \[ \text{Overall Grade} = 59.25 + 11.9 = 71.15 \]
Thus, your overall grade in the class after including your final exam grade would be 71.15.