In your calculus class, your final grade is based on four categories. The categories are tests, labs, homework assignments, and a final exam. The final average for the course is the weighted average of scores earned in these categories with the following weights.

Assignments	Tests	Labs	Homework	Final Exam
Weights	51%	11%	17%	21%


Suppose you earned the following grades on each of the categories; 86% on tests, 70% on labs, 80% on homework assignments, and 91% on the final exam. Determine your weighted average in the course. Record the average below as a percentage accurate to two decimal places.

Course Average: 
%

To calculate your weighted average in the course, we will use the following formula for the weighted average:

\[
\text{Weighted Average} = (\text{Test Grade} \times \text{Test Weight}) + (\text{Lab Grade} \times \text{Lab Weight}) + (\text{Homework Grade} \times \text{Homework Weight}) + (\text{Final Exam Grade} \times \text{Final Exam Weight})
\]

Here are the grades and their corresponding weights:

- Test grade: 86%, Weight: 11% (0.11)
- Lab grade: 70%, Weight: 17% (0.17)
- Homework grade: 80%, Weight: 21% (0.21)
- Final Exam grade: 91%, Weight: 51% (0.51)

Now, let’s calculate the weighted average:

\[
\text{Weighted Average} = (86 \times 0.11) + (70 \times 0.17) + (80 \times 0.21) + (91 \times 0.51)
\]

Let me compute that.The weighted average for your course is **84.57%**, accurate to two decimal places.

Would you like any further details or have questions about this calculation?

Here are 5 follow-up questions you might consider:
1. How do different weights affect your overall grade?
2. What would happen if the weight of the final exam changed?
3. How can you improve your weighted average in a specific category?
4. How are weighted averages used in other fields besides education?
5. How would missing an assignment impact your final grade?

**Tip**: Always double-check the weights and scores when calculating weighted averages to ensure accuracy.

In your calculus class, your final grade is based on four categories. The categories are tests, labs, homework assignments, and a final exam. The final average for the course is the weighted average of scores earned in these categories with the following weights.

Assignments Tests Labs Homework Final Exam
Weights 51% 11% 17% 21%

Suppose you earned the following grades on each of the categories; 86% on tests, 70% on labs, 80% on homework assignments, and 91% on the final exam. Determine your weighted average in the course. Record the average below as a percentage accurate to two decimal places.

Course Average: %

Learn how to calculate your final grade in a calculus course based on weighted averages. The problem includes grades for tests, labs, homework assignments, and the final exam with weights of 11%, 17%, 21%, and 51%, respectively. Follow the step-by-step solution to determine your final course average.

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