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cestrela7 [59]
3 years ago
10

4. (03.06 MC)

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

Volume of a cone is:

V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

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Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a
Alina [70]

Given:

30-hour review course average a score of 620 on that exam.

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To find:

The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.

Solution:

Let x be the number of hours of review course and y be the average score on that exam.

30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).

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y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

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y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)

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Adding 620 on both sides, we get

y=\dfrac{129}{40}x-\dfrac{387}{4}+620

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y=\dfrac{129}{40}(57)+\dfrac{2093}{4}

y=183.825+523.25

y=707.075

y\approx 707.1

Therefore, the required linear equation for the given situation is y=\dfrac{129}{40}x+\dfrac{2093}{4} and the average score for persons taking a 57-hour review course is 707.1.

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Answer:

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Answer:

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