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astra-53
1 month ago
9

The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compar

e to this number?
Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?

Mathematics
1 answer:
Leona [12.6K]1 month ago
6 0
Initially, we determine the average rate of change between x = 0 and x = 15:
Calculating:
R = (80 - 10) / (0 - 15)
R = -4.666666667
Next, we find the average rate for the full interval from x = 0 to x = 20:
R = (80 - 2) / (0 - 20)
R = -3.9
Answer:
The average rate of change across the entire slide is:
R = -3.9
The average rate from x = 0 to x = 15 is approximately -4.667. How does the average rate from x = 0 to x = 20 compare?
The percentage difference is calculated as:
(-3.9 / -4.666666667) × 100 = 83.57142857%
Then subtracting from 100 gives:
100 - 83.57142857 = 16.42857143%
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Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per
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Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

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Thus, the sample proportion is: \hat{p}=\dfrac{440}{525}\approx0.838

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The formula for determining the confidence interval:

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0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)

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20 days ago
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Then average speed =\frac{Distance}{Time}= \frac{2x}{1.25}\\

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\frac{2x}{1.25}=21\\
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2x=1.25*21\\
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x=13.125\\

Consequently, the distance from home is 13.125 miles.

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1 month ago
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