A syllabus has the following grade scale You receive the following scores on the assignments 85.24 89.75 15% HW 84% Exam 1, 91% Exam 2, 74% Exam 3, 85% Exam 4 91% Final Calculate your final grade in the course if the lowest exam (except the final) is dropped. ✪ 90.1 60% Exams 25% Final 87.8 100% HW

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Course Grading Scale and Final Grade Calculation

#### Grading Breakdown

- **Homework (HW):** 15%
- **Exams:** 60%
- **Final Exam:** 25%

#### Student's Scores

- **Homework:** 100%
- **Exams:**
  - Exam 1: 84%
  - Exam 2: 91%
  - Exam 3: 74% (Lowest score to be dropped)
  - Exam 4: 85%
- **Final Exam:** 91%

#### Final Grade Calculation

To determine the final grade in the course, we will drop the lowest exam score (Exam 3) and recalculate using the weighted percentages.

##### Step-by-Step Calculation

1. **Homework Weight (15%)**
   - Score: 100%
   - Weighted Score: \( 100 \times 0.15 = 15 \)

2. **Exams Weight (60%)**

   Drop Exam 3 (74%), and use the remaining exam scores: Exam 1 (84%), Exam 2 (91%), Exam 4 (85%).

   - Average Exam Score: \( \frac{84 + 91 + 85}{3} = 86.67 \)
   - Weighted Score: \( 86.67 \times 0.60 = 52 \)

3. **Final Exam Weight (25%)**
   - Score: 91%
   - Weighted Score: \( 91 \times 0.25 = 22.75 \)

4. **Total Final Grade**
   - Sum of all weighted scores: \( 15 + 52 + 22.75 = 89.75 \)

Therefore, the student’s final grade in the course is **89.75**.

#### Multiple Choice Options for Final Grade

- 85.24
- 89.75 ⬅️ (Correct Answer)
- 90.1
- 87.8
Transcribed Image Text:### Course Grading Scale and Final Grade Calculation #### Grading Breakdown - **Homework (HW):** 15% - **Exams:** 60% - **Final Exam:** 25% #### Student's Scores - **Homework:** 100% - **Exams:** - Exam 1: 84% - Exam 2: 91% - Exam 3: 74% (Lowest score to be dropped) - Exam 4: 85% - **Final Exam:** 91% #### Final Grade Calculation To determine the final grade in the course, we will drop the lowest exam score (Exam 3) and recalculate using the weighted percentages. ##### Step-by-Step Calculation 1. **Homework Weight (15%)** - Score: 100% - Weighted Score: \( 100 \times 0.15 = 15 \) 2. **Exams Weight (60%)** Drop Exam 3 (74%), and use the remaining exam scores: Exam 1 (84%), Exam 2 (91%), Exam 4 (85%). - Average Exam Score: \( \frac{84 + 91 + 85}{3} = 86.67 \) - Weighted Score: \( 86.67 \times 0.60 = 52 \) 3. **Final Exam Weight (25%)** - Score: 91% - Weighted Score: \( 91 \times 0.25 = 22.75 \) 4. **Total Final Grade** - Sum of all weighted scores: \( 15 + 52 + 22.75 = 89.75 \) Therefore, the student’s final grade in the course is **89.75**. #### Multiple Choice Options for Final Grade - 85.24 - 89.75 ⬅️ (Correct Answer) - 90.1 - 87.8
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