Question

PLEASE HELP! 100 POINTS!

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 85 and your test average is 76?

Answer 1

67% of 85

$\\ \sf\longmapsto \dfrac{67}{100}\times 85$

$\\ \sf\longmapsto 85(0.67)$

$\\ \sf\longmapsto 56.95$

33% of 76

$\\ \sf\longmapsto \dfrac{33}{100}\times 76$

$\\ \sf\longmapsto 76(0.33)$

$\\ \sf\longmapsto 25.08$

Add both

$\\ \sf\longmapsto 56.95+25.08$

$\\ \sf\longmapsto 82.03$

Answer 2

Using weighed averages, it is found that the final grade is was of 82.03.

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• The weighed average, which represents the final grade, is given by the sum of the grades multiplied by it's weights.
• The higher grade has a weight of 67%.
• The higher grade was of 85, on homeworks.
• The lower grade has a weight of 33%.
• The lower grade was of 76, on the test average.

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Using the data given in the exercise, for the grades, and the weighed average concept, the final grade is:

$G = 85(0.67) + 76(0.33) = 82.03$

The final grade was of 82.03.

A similar problem is given at https://brainly.com/question/24447096