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Sagot :
The best course grade your friend can earn is 73.8% the minimum score would your friend would need on the final to earn a 75% for the course is 108%.
Given that,
Before the course's final exam, a friend had an 84% course average. Except for the final, which accounts for 15% of the course grade, everything else is included in that score.
We have to find what is your friend's best possible course grade and What grade on the final must your friend obtain in order to receive a 75% for the course.
We know that,
Best grade = (84%)(0.7) + (100%)(0.15)
Best grade=0.588+0.15
Best grade=0.738 or 73.8%
Now,
Let final = 15% of the grade
Let class work = (110%-15%)=95%
Let your friend minimum score =f
So,
70%(0.84) + 15%(final) = 75%
0.7(0.84) + 0.15f = 0.75
0.588 + 0.15f = 0.75
Collect like terms
0.15f=0.75-0.588
0.15f = 0.162
Divide both side by 0.15f
f=0.162/0.15
f =1.08 or 108%
Therefore, the best course grade your friend can earn is 73.8% the minimum score would your friend would need on the final to earn a 75% for the course is 108%.
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