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Sagot :
To calculate your final weighted average, we need to consider the weights and grades of both the midterm and final exams.
Here is the detailed, step-by-step solution:
1. Identify the weights and grades for each exam:
- The midterm exam is worth 40% of your grade.
- The final exam is worth 60% of your grade.
- Your midterm grade is 83.
- Your final exam grade is 73.
2. Convert the percentages into decimal form for calculation:
- Midterm weight: 40% = 0.4
- Final weight: 60% = 0.6
3. Calculate the contribution of each exam to your final score:
- Midterm contribution: [tex]\( 83 \times 0.4 = 33.2 \)[/tex]
- Final exam contribution: [tex]\( 73 \times 0.6 = 43.8 \)[/tex]
4. Add the contributions to find the total weighted average:
- Total weighted average: [tex]\( 33.2 + 43.8 = 77.0 \)[/tex]
5. Round the weighted average to the nearest integer:
- Final weighted average: 77
Therefore, your final weighted average is 77 (rounded to the nearest integer).
Here is the detailed, step-by-step solution:
1. Identify the weights and grades for each exam:
- The midterm exam is worth 40% of your grade.
- The final exam is worth 60% of your grade.
- Your midterm grade is 83.
- Your final exam grade is 73.
2. Convert the percentages into decimal form for calculation:
- Midterm weight: 40% = 0.4
- Final weight: 60% = 0.6
3. Calculate the contribution of each exam to your final score:
- Midterm contribution: [tex]\( 83 \times 0.4 = 33.2 \)[/tex]
- Final exam contribution: [tex]\( 73 \times 0.6 = 43.8 \)[/tex]
4. Add the contributions to find the total weighted average:
- Total weighted average: [tex]\( 33.2 + 43.8 = 77.0 \)[/tex]
5. Round the weighted average to the nearest integer:
- Final weighted average: 77
Therefore, your final weighted average is 77 (rounded to the nearest integer).
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