Calculate Jane's weighted grade: (round to the nearest tenth) Portion of Jane's Averages Grade Homework 15% 85 Labs 10% 93 |Quiz 25% 71 Test 50% 86
Calculate Jane's weighted grade: (round to the nearest tenth) Portion of Jane's Averages Grade Homework 15% 85 Labs 10% 93 |Quiz 25% 71 Test 50% 86
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![## Calculate Jane's Weighted Grade
### Instructions:
1. **Determine the weighted grade by calculating the weighted average of her different grade components.**
2. **Round the result to the nearest tenth.**
### Breakdown of Grade Components:
| Component | Portion of Grade | Jane's Averages |
|-----------|------------------|-----------------|
| Homework | 15% | 85 |
| Labs | 10% | 93 |
| Quiz | 25% | 71 |
| Test | 50% | 86 |
### Calculation Method:
1. Convert the percentage weights to decimal form.
2. Multiply each component's average by its respective weight in decimal form.
3. Sum these products to get the final weighted grade.
### Formula:
\[ \text{Weighted Grade} = (0.15 \times 85) + (0.10 \times 93) + (0.25 \times 71) + (0.50 \times 86) \]
### Calculation Steps:
1. Homework: \( 0.15 \times 85 = 12.75 \)
2. Labs: \( 0.10 \times 93 = 9.3 \)
3. Quiz: \( 0.25 \times 71 = 17.75 \)
4. Test: \( 0.50 \times 86 = 43 \)
\[ \text{Total Weighted Grade} = 12.75 + 9.3 + 17.75 + 43 \]
### Final Result:
\[ \text{Total Weighted Grade} = 82.8 \]
**Jane's weighted grade is 82.8.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd29aead0-2599-4a5c-9de3-a85c5bc4b979%2Fd100f551-9781-4c03-8d0f-a2a1903fd659%2Fkcacon.png&w=3840&q=75)
Transcribed Image Text:## Calculate Jane's Weighted Grade
### Instructions:
1. **Determine the weighted grade by calculating the weighted average of her different grade components.**
2. **Round the result to the nearest tenth.**
### Breakdown of Grade Components:
| Component | Portion of Grade | Jane's Averages |
|-----------|------------------|-----------------|
| Homework | 15% | 85 |
| Labs | 10% | 93 |
| Quiz | 25% | 71 |
| Test | 50% | 86 |
### Calculation Method:
1. Convert the percentage weights to decimal form.
2. Multiply each component's average by its respective weight in decimal form.
3. Sum these products to get the final weighted grade.
### Formula:
\[ \text{Weighted Grade} = (0.15 \times 85) + (0.10 \times 93) + (0.25 \times 71) + (0.50 \times 86) \]
### Calculation Steps:
1. Homework: \( 0.15 \times 85 = 12.75 \)
2. Labs: \( 0.10 \times 93 = 9.3 \)
3. Quiz: \( 0.25 \times 71 = 17.75 \)
4. Test: \( 0.50 \times 86 = 43 \)
\[ \text{Total Weighted Grade} = 12.75 + 9.3 + 17.75 + 43 \]
### Final Result:
\[ \text{Total Weighted Grade} = 82.8 \]
**Jane's weighted grade is 82.8.**
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