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A student's course grades and their corresponding weights are given in the table.CategoryGrade EarnedWeight by CategoryAttendance100%10%Tests80%30%Homework95%20%Final Exam 40%What is the minimum grade needed on the final exam to earn an overall grade of 83% in the class? 30% 57% 75% 90%

A student's course grades and their corresponding weights are given in the table.CategoryGrade-example-1
User Ronny Sherer
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1 Answer

18 votes
18 votes

Answer

75%

Step-by-step explanation

Given table:

What to find:

The minimum grade needed on the final exam to earn an overall grade of 83% in the class.

Step-by-step solution:

For the attendance: (100% of 10%)


(100)/(100)*10\%=10\%

For the test: (80% of 30%)


(80)/(100)*30\%=24\%

For the Homework: (95% of 20%)


(95)/(100)*20\%=19\%

For the final exam: Let the 5 be x, so x% of 40% will be:


(x)/(100)*40\%=0.4x\%

Now, to find the minimum grade needed on the final exam to earn an overall grade of 83% in the class it will be:


\begin{gathered} 10\%+24\operatorname{\%}+19\operatorname{\%}+0.4x\operatorname{\%}=83\operatorname{\%} \\ \\ 53\operatorname{\%}+0.4x\operatorname{\%}=83\operatorname{\%} \\ \\ 0.4x\operatorname{\%}=83\operatorname{\%}-53\operatorname{\%} \\ \\ 0.4x\operatorname{\%}=30\operatorname{\%} \\ \\ x\operatorname{\%}=\frac{30\operatorname{\%}}{0.4} \\ \\ x=75\operatorname{\%} \end{gathered}

Thus, the correct answer is 75%.

A student's course grades and their corresponding weights are given in the table.CategoryGrade-example-1
User Matthisb
by
3.0k points