Answered

Discover a world of knowledge and get your questions answered at IDNLearn.com. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.

To calculate a weighted average, use the formula [tex]\text{weighted average} = \frac{\sum xw}{\sum w}[/tex], where:

- [tex]w[/tex] is the weight of the piece of data,
- [tex]x[/tex] is the value of the piece of data,
- [tex]\sum xw[/tex] is the sum of the products of each piece of data multiplied by its weight,
- [tex]\sum w[/tex] is the sum of the weights.

Suppose that your final grade for a course is determined by a midterm exam and a final exam. The midterm exam is worth [tex]40\%[/tex] of your grade, and the final exam is worth [tex]60\%[/tex]. If your midterm grade is [tex]83[/tex] and your final exam grade is [tex]73[/tex], calculate your final weighted average.

Your final weighted average is [tex]\boxed{\phantom{0}}[/tex] (Round to the nearest integer as needed).

Sagot :

GinnyAnsweridn
To calculate your final weighted average, we need to consider the weights and grades of both the midterm and final exams.

Here is the detailed, step-by-step solution:

1. Identify the weights and grades for each exam:
- The midterm exam is worth 40% of your grade.
- The final exam is worth 60% of your grade.
- Your midterm grade is 83.
- Your final exam grade is 73.

2. Convert the percentages into decimal form for calculation:
- Midterm weight: 40% = 0.4
- Final weight: 60% = 0.6

3. Calculate the contribution of each exam to your final score:
- Midterm contribution: [tex]\( 83 \times 0.4 = 33.2 \)[/tex]
- Final exam contribution: [tex]\( 73 \times 0.6 = 43.8 \)[/tex]

4. Add the contributions to find the total weighted average:
- Total weighted average: [tex]\( 33.2 + 43.8 = 77.0 \)[/tex]

5. Round the weighted average to the nearest integer:
- Final weighted average: 77

Therefore, your final weighted average is 77 (rounded to the nearest integer).
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.