Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%.
Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit tests, and 94% on his labs.
What is Roberto's final science grade?
1) 93.3%
2) 93.9%
3) 94.8%
4) 95.3%
0.25 * 94 + 0.10 * 99 + 0.30 * 92 + 0.35 * 94 = 93.9
;-; Holy-
To calculate Roberto's final science grade, we need to apply the weights to each category and then calculate the weighted average.
Here's how to do it:
1. Convert the percentage values into decimals by dividing each percentage by 100.
- Roberto's average on quizzes is 94% = 0.94
- Roberto's average on homework is 99% = 0.99
- Roberto's average on unit tests is 92% = 0.92
- Roberto's average on labs is 94% = 0.94
2. Apply the weights to each category by multiplying the decimal value by the corresponding weight.
- Quizzes: 0.94 * 0.25 = 0.235
- Homework: 0.99 * 0.1 = 0.099
- Unit Tests: 0.92 * 0.3 = 0.276
- Labs: 0.94 * 0.35 = 0.329
3. Add up the weighted values from step 2:
- 0.235 + 0.099 + 0.276 + 0.329 = 0.939
4. Convert the weighted average back into a percentage by multiplying by 100.
- 0.939 * 100 = 93.9%
Therefore, Roberto's final science grade is 93.9%.
The correct answer is 2) 93.9%.