QuestionCalculate your final course average using the weights: Tests (44%), Labs (15%), Homework (27%), Final Exam (14%) with grades 45%, 83%, 91%, and 56%. Record the average as a percentage accurate to two decimal places.

Studdy Solution

STEP 1

Assumptions1. The weights for the categories are as follows Tests44%, Labs15%, Homework14%, Final Exam27% . The grades earned in each category are as follows Tests45%, Labs83%, Homework91%, Final Exam56%
3. The final grade is a weighted average of the grades in each category

STEP 2

We need to calculate the weighted average. The formula for a weighted average is $Weighted\, average = \frac{\sum (grade \times weight)}{\sum weight}$ However, since the sum of the weights is100%, we can simplify this to $Weighted\, average = \sum (grade \times weight)$

STEP 3

Now, we can plug in the grades and weights for each category into the formula.
$Weighted\, average = (45\% \times44\%) + (83\% \times15\%) + (91\% \times14\%) + (56\% \times27\%)$

STEP 4

Convert the percentages to decimal values.
$Weighted\, average = (0.45 \times0.44) + (0.83 \times0.15) + (0.91 \times0.14) + (0.56 \times0.27)$

STEP 5

Perform the multiplication for each category.
$Weighted\, average =0.198 +0.1245 +0.1274 +0.1512$

STEP 6

Add the results to get the weighted average.
$Weighted\, average =0.198 +0.1245 +0.1274 +0.1512 =0.6011$

STEP 7

Convert the decimal value back to a percentage.
$Weighted\, average =0.6011 \times100\% =60.11\%$ The final course average is60.11%.

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QuestionCalculate your final course average using the weights: Tests (44%), Labs (15%), Homework (27%), Final Exam (14%) with grades 45%, 83%, 91%, and 56%. Record the average as a percentage accurate to two decimal places.

Studdy Solution

STEP 1

Assumptions1. The weights for the categories are as follows Tests44%, Labs15%, Homework14%, Final Exam27% . The grades earned in each category are as follows Tests45%, Labs83%, Homework91%, Final Exam56%
3. The final grade is a weighted average of the grades in each category

STEP 2

We need to calculate the weighted average. The formula for a weighted average is $Weighted\, average = \frac{\sum (grade \times weight)}{\sum weight}$ However, since the sum of the weights is100%, we can simplify this to $Weighted\, average = \sum (grade \times weight)$

STEP 3

Now, we can plug in the grades and weights for each category into the formula.
$Weighted\, average = (45\% \times44\%) + (83\% \times15\%) + (91\% \times14\%) + (56\% \times27\%)$

STEP 4

Convert the percentages to decimal values.
$Weighted\, average = (0.45 \times0.44) + (0.83 \times0.15) + (0.91 \times0.14) + (0.56 \times0.27)$

STEP 5

Perform the multiplication for each category.
$Weighted\, average =0.198 +0.1245 +0.1274 +0.1512$

STEP 6

Add the results to get the weighted average.
$Weighted\, average =0.198 +0.1245 +0.1274 +0.1512 =0.6011$

STEP 7

Convert the decimal value back to a percentage.
$Weighted\, average =0.6011 \times100\% =60.11\%$ The final course average is60.11%.

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QuestionCalculate your final course average using the weights: Tests (44%), Labs (15%), Homework (27%), Final Exam (14%) with grades 45%, 83%, 91%, and 56%. Record the average as a percentage accurate to two decimal places.

Studdy Solution

STEP 1

Assumptions1. The weights for the categories are as follows Tests44%, Labs15%, Homework14%, Final Exam27% . The grades earned in each category are as follows Tests45%, Labs83%, Homework91%, Final Exam56%3. The final grade is a weighted average of the grades in each category

STEP 2

STEP 3

Now, we can plug in the grades and weights for each category into the formula.Weighted average=(45%×44%)+(83%×15%)+(91%×14%)+(56%×27%)Weighted\, average = (45\% \times44\%) + (83\% \times15\%) + (91\% \times14\%) + (56\% \times27\%)Weightedaverage=(45%×44%)+(83%×15%)+(91%×14%)+(56%×27%)

STEP 4

Convert the percentages to decimal values.Weighted average=(0.45×0.44)+(0.83×0.15)+(0.91×0.14)+(0.56×0.27)Weighted\, average = (0.45 \times0.44) + (0.83 \times0.15) + (0.91 \times0.14) + (0.56 \times0.27)Weightedaverage=(0.45×0.44)+(0.83×0.15)+(0.91×0.14)+(0.56×0.27)

STEP 5

Perform the multiplication for each category.Weighted average=0.198+0.1245+0.1274+0.1512Weighted\, average =0.198 +0.1245 +0.1274 +0.1512Weightedaverage=0.198+0.1245+0.1274+0.1512

STEP 6

Add the results to get the weighted average.Weighted average=0.198+0.1245+0.1274+0.1512=0.6011Weighted\, average =0.198 +0.1245 +0.1274 +0.1512 =0.6011Weightedaverage=0.198+0.1245+0.1274+0.1512=0.6011

STEP 7

Convert the decimal value back to a percentage.Weighted average=0.6011×100%=60.11%Weighted\, average =0.6011 \times100\% =60.11\%Weightedaverage=0.6011×100%=60.11%The final course average is60.11%.

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Studdy solves anything!

Start learning now

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

Assumptions1. The weights for the categories are as follows Tests44%, Labs15%, Homework14%, Final Exam27% . The grades earned in each category are as follows Tests45%, Labs83%, Homework91%, Final Exam56%
3. The final grade is a weighted average of the grades in each category

Now, we can plug in the grades and weights for each category into the formula.
$Weighted\, average = (45\% \times44\%) + (83\% \times15\%) + (91\% \times14\%) + (56\% \times27\%)$

Convert the percentages to decimal values.
$Weighted\, average = (0.45 \times0.44) + (0.83 \times0.15) + (0.91 \times0.14) + (0.56 \times0.27)$

Perform the multiplication for each category.
$Weighted\, average =0.198 +0.1245 +0.1274 +0.1512$

Add the results to get the weighted average.
$Weighted\, average =0.198 +0.1245 +0.1274 +0.1512 =0.6011$

Convert the decimal value back to a percentage.
$Weighted\, average =0.6011 \times100\% =60.11\%$ The final course average is60.11%.