Question 3 < B0/2 pts A friend has a 81% average before the final exam for a course. That score includes everything but

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Question 3
<
B0/2 pts
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 20% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score would your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
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RuslanHeatt 3 years 2021-08-24T14:46:18+00:00 1 Answers 23 views 0

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  1. Orla
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    2021-08-24T14:48:01+00:00
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    Answer:

    The best course grade your friend can earn is 0.848 = 84.8%.

    The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

    Step-by-step explanation:

    This is a weighed average problem, in which we multiply each grade by its weight.

    We have that:

    In 80% of the course, the friend has a grade of 81%.

    In the other 20%, he will have x.

    What is the best course grade your friend can earn?

    This will happen if he earns 100% = 1 on the final test. So

    G = 0.8*0.81 + 0.2*1 = 0.848

    The best course grade your friend can earn is 0.848 = 84.8%.

    What is the minimum score would your friend would need on the final to earn a 75% for the course?

    This is x, when the grade is 0.75. So

    0.75 = 0.8*0.81 + 0.2x

    0.2x = 0.75 - 0.8*0.81

    x = \frac{0.75 - 0.8*0.81}{0.2}

    x = 0.51

    The minimum score would your friend would need on the final to earn a 75% for the course is of 0.51 = 51%.

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