Explanation:
Step 1. We are given the following information:
The percentage for each part of the final grade is:
Tests --> 40%
Class Participation --> 25%
Homework --> 15%
Final exam --> 20%
Step 2. The weight value of each activity is the percentage value, we will find the weighting factor for each activity which is a decimal value, by dividing each percentage by 100:
Tests --> 40/100 = 0.4
Class Participation --> 25/100 = 0.25
Homework --> 15/100 = 0.15
Final exam --> 20/100 = 0.2
Step 3. Now we need to calculate the partial value of each activity by finding the mean and then multiplying the mean by the weighting factors from step 2.
Homework
The mean of the homework grades is:
Solving the operations:
Now we multiply the mean by the weighting factor of the homework:
The homework represents 12.75 points of the final grade.
Step 4. Next, we will do the same for the class participation grades.
Class participation.
The mean is:
Solving the operations:
The mean is 91.25. Now we multiply that result by the weighting factor of class participation:
The class participation represents 22.8125 points of the final grade.
Step 5. We do the same for the test grades.
Test grades.
Mean
Multiply by the weighting factor of the tests:
The tests represent 34 points of the final grade.
Step 6. Add all of the points so far:
To make a 90 on the final grade the students need to make the following points on the final exam:
He needs 20.4375 points. To find how much is this as a grade, we divide it by the weighting factor of the final exam which is 0.2:
The minimum amount that the student would need as the grade of the final exam is 102.1875 since this is an amount above 100, the student cannot get 90 as the final grade.
Answer:
The student would need 102.1875 as the final exam grade which means that he can not make 90 or above as his final grade in the class.