We can calculate the student's overall final score by taking the weighted average of each component based on the percentage it contributes to the final grade. Let's break it down:

Components:

1. Midterm: 20% of final grade
2. Project: 10% of final grade
3. Homework assignments: 35% of final grade
4. Final exam: 35% of final grade

Scores:

• Midterm: 72
• Project: 87
• Homework: 75
• Final exam: 80

Weighted Final Score Calculation:

To find the weighted final score, we multiply each score by its corresponding weight and then sum the results:

$\text{Overall Score} = (72 \times 0.20) + (87 \times 0.10) + (75 \times 0.35) + (80 \times 0.35)$

Now let's calculate:

$72 \times 0.20 = 14.4$ $87 \times 0.10 = 8.7$ $75 \times 0.35 = 26.25$ $80 \times 0.35 = 28$

Adding them together:

$14.4 + 8.7 + 26.25 + 28 = 77.35$

Final Score:

The overall final score is 77.35.

Letter Grade:

According to the grading scale provided:

• A: 90 or above
• B: 80 to less than 90
• C: 70 to less than 80
• D: 60 to less than 70
• F: below 60

Since the overall score is 77.35, the student earns a C.

Would you like more details or have any further questions?

Related Questions:

1. How would the final score change if the homework weight was reduced?
2. What would the overall score be if the student scored higher on the midterm?
3. How does changing the weight of the final exam affect the overall score?
4. What score would the student need on the final exam to earn a B?
5. How would the letter grade change if the grading scale used plus/minus grading?

Tip:

Weighted averages are crucial when different components of a score have unequal importance, so always ensure to use the correct weight for each component.