A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.

What is the best course grade your friend can earn? %

What is the minimum score would your friend would need on the final to earn a 75% for the course? %

So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:

(Final)(.30) + (other grades)(.70) = course grade

The best grade the student can get would be if they get a hundred on the final, since that’s the best score you can make on the final. Then,

(100)(.30) + (82)(.70) = course grade
30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.

For the last part, we use the same equation, just filling in different parts.

(Final)(.30) + (other grades)(.70) = course grade

This time, we don’t know the grade for the final, but we know the course grade.

(Final)(.30) + (82)(.70) = 75
(Final)(.30) + 57.4 = 75
(Final)(.30) = 17.6
Final = (17.6)/(.30)
Final = 58.667 Which is approx a 59.

keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-01T09:31:47+01:00

The best course grade your friend can earn is 87.4 and the minimum score would your friend would need on the final to earn a 75% for the course is 59.

Given :

A friend has an 82% average before the final exam for a course.
That score includes everything but the final, which counts for 30% of the course grade.

The weighted average is given by:

[tex]\rm (Final)(0.30) + (Other\; Grades)(0.70) = Course\; Grade[/tex]

a) For the best score final score would be 100. So, the above equation becomes:

[tex]\rm 100\times 0.30+82\times .70 = Course\;Grade[/tex]

Course Grade = 30 + 57.4

= 87.4

So, the best course grade your friend can earn is 87.4.

b) The minimum score would your friend would need on the final to earn a 75% for the course is:

[tex]\rm (Final)(0.30)+(82)(0.70) = 75[/tex]

[tex]\rm Final = \dfrac{75-57.4}{0.30}[/tex]

Final = 58.67

Final [tex]\approx[/tex] 59

For more information, refer to the link given below:

https://brainly.com/question/15385899