To determine the student's final grade based on the given weights and scores, we need to calculate the weighted scores for each of the categories and then sum them up. Here is a step-by-step breakdown of the process:
1. Identify the weight and score for each category:
- Homework: Weight = 15%, Score = 97
- Speeches: Weight = 35%, Score = 64
- Papers: Weight = 30%, Score = 54
- Final: Weight = 20%, Score = 56
2. Convert the weights from percentages to decimals:
- Homework: [tex]\( 15\% = 0.15 \)[/tex]
- Speeches: [tex]\( 35\% = 0.35 \)[/tex]
- Papers: [tex]\( 30\% = 0.30 \)[/tex]
- Final: [tex]\( 20\% = 0.20 \)[/tex]
3. Calculate the weighted scores:
- Weighted Homework = [tex]\( 97 \times 0.15 = 14.55 \)[/tex]
- Weighted Speeches = [tex]\( 64 \times 0.35 = 22.4 \)[/tex]
- Weighted Papers = [tex]\( 54 \times 0.30 = 16.2 \)[/tex]
- Weighted Final = [tex]\( 56 \times 0.20 = 11.2 \)[/tex]
4. Sum the weighted scores to find the total grade:
- Total Grade = [tex]\( 14.55 + 22.4 + 16.2 + 11.2 = 64.3 \)[/tex]
Therefore, the student's final grade is 64.3.
