Studdy AI Logo
Math  /  Algebra

QuestionIn Marissa's calculus course, attendance counts for 15%15 \% of the grade, quizzes count for 15%15 \% of the grade, exams count for 50%50 \% of the grade, and the final exam counts for 20%20 \% of the grade. Marissa had a 100%100 \% average for attendance, 93%93 \% for quizzes, 86%86 \% for exams, and 85%85 \% on the final. Determine Marissa's course average.
Marissa's course average is □\square %\%. (Type an integer or a decimal. Do not round.)

Studdy Solution

STEP 1

1. Marissa's calculus course grade is calculated based on weighted percentages of different components: attendance, quizzes, exams, and the final exam.
2. The weights are: attendance 15%15\%, quizzes 15%15\%, exams 50%50\%, and final exam 20%20\%.
3. Marissa's scores are: 100%100\% for attendance, 93%93\% for quizzes, 86%86\% for exams, and 85%85\% for the final exam.
4. The overall course average is computed by multiplying each score by its respective weight and summing the results.

STEP 2

1. Convert each percentage weight to a decimal.
2. Multiply each component score by its corresponding weight.
3. Sum the weighted scores to find Marissa's course average.

STEP 3

Convert each percentage weight to a decimal. Attendance weight=0.15,Quizzes weight=0.15,Exams weight=0.50,Final exam weight=0.20\text{Attendance weight} = 0.15, \quad \text{Quizzes weight} = 0.15, \quad \text{Exams weight} = 0.50, \quad \text{Final exam weight} = 0.20

STEP 4

Multiply the attendance score by its weight. Weighted attendance score=100%×0.15=15%\text{Weighted attendance score} = 100\% \times 0.15 = 15\%

STEP 5

Multiply the quizzes score by its weight. Weighted quizzes score=93%×0.15=13.95%\text{Weighted quizzes score} = 93\% \times 0.15 = 13.95\%

STEP 6

Multiply the exams score by its weight. Weighted exams score=86%×0.50=43%\text{Weighted exams score} = 86\% \times 0.50 = 43\%

STEP 7

Multiply the final exam score by its weight. Weighted final exam score=85%×0.20=17%\text{Weighted final exam score} = 85\% \times 0.20 = 17\%

STEP 8

Sum the weighted scores to find Marissa's course average. Course average=15%+13.95%+43%+17%=88.95%\text{Course average} = 15\% + 13.95\% + 43\% + 17\% = 88.95\%
Solution: Marissa's course average is 88.95% 88.95 \% .

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord