Questions: A student's math 123 grades are shown below. Category Weight Grade Homework 15% 36 Quiz 15% 73 Project 20% 83 Exam 1 15% 78 Exam 2 15% 6 Exam 3 20% 65 Calculate the student's final grade in math 123. Write your answer as a percent rounded to the nearest tenth. Don't include the percent sign.

Solution Steps

To calculate the student's final grade, we need to multiply each grade by its corresponding weight, sum these products, and then round the result to the nearest tenth.

We are given the weights and grades for different categories. The weights are: \[ \text{weights} = [0.15, 0.15, 0.20, 0.15, 0.15, 0.20] \] The grades are: \[ \text{grades} = [36, 73, 83, 78, 6, 65] \]

To find the final grade, we multiply each grade by its corresponding weight and sum the results: \[ \text{final\_grade} = (0.15 \times 36) + (0.15 \times 73) + (0.20 \times 83) + (0.15 \times 78) + (0.15 \times 6) + (0.20 \times 65) \] \[ \text{final\_grade} = 5.4 + 10.95 + 16.6 + 11.7 + 0.9 + 13.0 \] \[ \text{final\_grade} = 58.55 \]

We round the final grade to the nearest tenth: \[ \text{final\_grade\_rounded} = 58.6 \]

Final Answer