College

We appreciate your visit to Suppose a student s final grade in a biology course is determined using the following weights Quizzes are worth 5 Exam 1 is worth tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Suppose a student's final grade in a biology course is determined using the following weights:

- Quizzes are worth 5%
- Exam 1 is worth [tex]$20 \%$[/tex]
- Exam 2 is worth [tex]$20 \%$[/tex]
- Lab reports are worth [tex]$15 \%$[/tex]
- Research paper is worth [tex]$15 \%$[/tex]
- Final exam is worth [tex]$25 \%$[/tex]

Just before the final, she earned the following grades (all worth 100 points each):

[tex]
\[
\begin{array}{ll}
\text{Lab report Grades} & 75, 90, 85, 69, 70, 75, 80, 75 \\
\hline
\text{Quiz Grades} & 85, 80, 0, 60, 70, 80, 80, 75 \\
\hline
\text{Exam 1} & 80 \\
\text{Exam 2} & 70 \\
\hline
\text{Paper} & 85 \\
\hline
\end{array}
\]
[/tex]

a) What is her lab report percent average?

b) What is her quiz percent average?

c) What is her course grade before the final?

d) For a [tex]$B$[/tex], she needs a course average of at least [tex]$82 \%$[/tex]. What is the lowest grade she can get on the final to achieve this goal?

Answer :

Sure! Let's go through each part of the question step-by-step:

a) Lab Report Percent Average:
- We need to calculate the average of the lab report grades.
- The grades are: 75, 90, 85, 69, 70, 75, 80, 75.
- To find the average, sum all the grades and then divide by the number of grades.

[tex]\[
\text{Average} = \frac{75 + 90 + 85 + 69 + 70 + 75 + 80 + 75}{8}
\][/tex]

[tex]\[
\text{Average} = \frac{619}{8} = 77.375
\][/tex]

So, the lab report percent average is 77.375.

b) Quiz Percent Average:
- We calculate the average of the quiz grades.
- The quiz grades are: 85, 80, 0, 60, 70, 80, 80, 75.
- Again, sum all the grades and divide by the total number of quizzes.

[tex]\[
\text{Average} = \frac{85 + 80 + 0 + 60 + 70 + 80 + 80 + 75}{8}
\][/tex]

[tex]\[
\text{Average} = \frac{530}{8} = 66.25
\][/tex]

Thus, the quiz percent average is 66.25.

c) Course Grade Before the Final:
- We use the weighted averages to find the overall course grade before the final exam.
- The weights are given for each component of the course.

[tex]\[
\text{Course Grade} = (66.25 \times 0.05) + (80 \times 0.20) + (70 \times 0.20) + (77.375 \times 0.15) + (85 \times 0.15)
\][/tex]

[tex]\[
\text{Course Grade} = 3.3125 + 16 + 14 + 11.60625 + 12.75
\][/tex]

[tex]\[
\text{Course Grade} = 57.66875
\][/tex]

Therefore, the course grade before the final is 57.66875.

d) Lowest Grade on the Final for a 'B' Average:
- To achieve at least a B (82%), we calculate the minimum score needed on the final exam.
- Let [tex]\( x \)[/tex] be the final exam grade needed:

[tex]\[
57.66875 + (x \times 0.25) \geq 82
\][/tex]

Solve for [tex]\( x \)[/tex]:

[tex]\[
x \times 0.25 \geq 82 - 57.66875
\][/tex]

[tex]\[
x \times 0.25 \geq 24.33125
\][/tex]

[tex]\[
x \geq \frac{24.33125}{0.25}
\][/tex]

[tex]\[
x \geq 97.325
\][/tex]

So, the lowest grade she can get on the final to achieve a B average is approximately 97.33.

Thanks for taking the time to read Suppose a student s final grade in a biology course is determined using the following weights Quizzes are worth 5 Exam 1 is worth tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada