Question

In order to calculate your semester grade in this class, each of your two marking period grades account for 40% of your grade, while your final exam is worth the other 20%. Suppose you earned an 87 for the 1st marking period, a 74 for the second marking period, and a 90 on the final exam. What will your semester grade end up at (round to the nearest tenth)?

Answer 1

To calculate the semester grade, convert percentages to decimals, multiply each grade by its corresponding weight, add up the weighted grades, and round to the nearest tenth.

Step-by-step explanation:

To calculate your semester grade in this class, you need to determine the weighted average of your marking period grades and the final exam grade. Each marking period grade is worth 40% and the final exam is worth 20%.

1. First, convert the percentages to decimal form. 40% is 0.4 and 20% is 0.2.
2. Next, multiply each marking period grade by its corresponding weight. For the 1st marking period grade of 87, multiply by 0.4 to get 34.8. For the 2nd marking period grade of 74, multiply by 0.4 to get 29.6.
3. Add up the weighted marking period grades: 34.8 + 29.6 = 64.4.
4. Multiply the final exam grade of 90 by its weight, 0.2, to get 18.
5. Add the weighted final exam grade to the sum of the weighted marking period grades: 64.4 + 18 = 82.4.

Therefore, your semester grade will be 82.4 (rounded to the nearest tenth).