Question

10) What percentage of the final course grade does this quiz make up?

a) 1%
b) 2%
c) 5%
d) 10%

Answer 1

Sarah needs to score at least 111 out of 100 on her final exam to achieve an overall final grade of at least 90% in the class.

Let's denote the final exam score as F.

The overall final grade is calculated by taking the weighted average of the assignment, midterm, and final exam scores.

The weights are given as 30%, 40%, and 30% respectively.

The formula for the overall final grade (G) is:

G=(0.30×Assignment score)+(0.40×Midterm score)+(0.30×F)

Now, we can substitute the given values:

90%=(0.30×85)+(0.40×78)+(0.30×F)

To solve for F, we can rearrange the equation:

90%−(0.30×85)−(0.40×78)=0.30×F

Now, calculate the values on the left side:

90%−25.5−31.2=0.30×F

33.3=0.30×F

Now, solve for F:

F =
`(33.3)/(0.30)`

F ≈ 111

Question

In a class, the final grade is determined by three components:

Assignments (30%): Sarah scored 85 out of 100 on her assignments.

Midterm Exam (40%): She scored 78 out of 100 on her midterm exam.

Final Exam (30%): For the final exam, Sarah hasn't taken it yet, but she wants to know the minimum score she needs to achieve to get an overall final grade of at least 90%.

What is the minimum score Sarah needs to get on her final exam to achieve an overall final grade of 90% in the class?