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A​ student's course grade is based on one midterm that counts as 15​% of his final​ grade, one class project that counts as 25​% of his final​ grade, a set of homework assignments that counts as 40​% of his final​ grade, and a final exam that counts as 20​% of his final grade. His midterm score is 66​, his project score is 90​, his homework score is 75​, and his final exam score is 66. What is his overall final​ score?

1 Answer

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Final answer:

To determine the student's final grade, you multiply each score by its respective percentage, sum these products, and find the combined result. The student's overall final score, after calculation, is 75.6.

Step-by-step explanation:

To calculate the student's overall final score, we'll weight each component of the course grade according to the percentages given. Here's how you can do it:

  • Multiply the midterm score by 15% (0.15)
  • Multiply the project score by 25% (0.25)
  • Multiply the homework score by 40% (0.40)
  • Multiply the final exam score by 20% (0.20)

Next, sum all of these weighted scores together to get the final grade. The calculation would look like this:

  1. Midterm: 66 * 0.15 = 9.9
  2. Project: 90 * 0.25 = 22.5
  3. Homework: 75 * 0.40 = 30
  4. Final Exam: 66 * 0.20 = 13.2

Now, add these weighted scores together:

9.9 + 22.5 + 30 + 13.2 = 75.6

The student's overall final score is 75.6.

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