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100 POINTS!!! PLEASE I NEED HELP DUE TODAY!!!!
1.Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.

What will your final grade be if your homework average is 91 and your test average is 91?

2.Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.

What will your final grade be if your homework average is 52, you quiz average is 83, and your test average is 60?

3.Consider the two grading schemes above, with a homework average of 75 a class participation average of 80 a test average of 85 and a final exam grade of 62. If you calculate your grade with both teachers, what would the higher of the two grades be?

4. A new cars salesperson, sold an average of $36,432 per day for the first 3 days she worked. The next 10 days she worked, she sold an average of $51,834. How much did she sell on average per day over the entire time she worked??

5. Kelly works two jobs. She usually works at a retail store for 6 hours during the day and is paid $14.84 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $10.76 per hour. How much does she make on average per hour for the day?


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100 POINTS!!! PLEASE I NEED HELP DUE TODAY!!!! 1.Final grades are often computed using weighted averages. Some college professors use complicated weighted avera class=
100 POINTS!!! PLEASE I NEED HELP DUE TODAY!!!! 1.Final grades are often computed using weighted averages. Some college professors use complicated weighted avera class=

Answer :

Using weighed averages, it is found that:

  1. The final grade is 91.
  2. The final grade is 66.8.
  3. The higher grade would be 79.55, with the second grading scheme.
  4. On average, she sold $48,280 per day.
  5. On average, she makes $12.5 per hour.

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To find the weighed average, we multiply each value by it's weight.

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Question 1:

  • Grade of 91, with a weight of 67%.
  • Grade of 91, with a weight of 33%.

Thus:

[tex]F = 91\times0.67 + 91\times0.33 = 91[/tex]

The final grade is 91.

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Question 2:

  • Grade of 83, with a weight of 40%(highest grade).
  • Grade of 60, with a weight of 30%.
  • Grade of 52, with a weight of 30%.

Thus:

[tex]F = 83\times0.4 + 60\times0.3 + 52\times0.3 = 66.8[/tex]

The final grade is 66.8.

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Question 3:

With teacher 1:

  • 75 with a weight of 25%.
  • 80 with a weight of 10%.
  • 85 with a weight of 40%.
  • 62 with a grade of 25%.

Thus:

[tex]F_1 = 75\times0.25 + 80\times0.1 + 85\times0.4 + 62\times0.25 = 76.25[/tex]

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With teacher 2:

  • 75 with a weight of 15%.
  • 80 with a weight of 10%.
  • 85 with a weight of 60%.
  • 62 with a weight of 15%.

Thus:

[tex]F_2 = 75\times0.15 + 80\times0.1 + 85\times0.6 + 62\times0.15 = 79.55[/tex]

The higher grade would be 79.55, with the second grading scheme.

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Question 4:

  • Average of $36,432, with a weight of [tex]\frac{3}{3+10} = \frac{3}{13}[/tex]
  • Average of $51,834, with a weight of [tex]\frac{10}{13}[/tex]

Thus:

[tex]A = 36432\frac{3}{13} + 51834\frac{10}{13} = \frac{36432\times3 + 51834\times10}{13} = 48280[/tex]

On average, she sold $48,280 per day.

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Question 5:

  • Average of $14.84, with a weight of [tex]\frac{6}{6+8} = \frac{6}{14} = \frac{3}{7}[/tex]
  • Average of $10.76, with a weight of [tex]\frac{4}{7}[/tex]

Thus:

[tex]A = 14.84\frac{3}{7} + 10.76\frac{4}{7} = \frac{14.84\times3 + 10.76\times4}{7} = 12.5[/tex]

On average, she makes $12.5 per hour.

A similar problem is given at https://brainly.com/question/24398353

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