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tia_tia [17]
4 years ago
15

The total distance an object travels varies directly with the length of time it travels. If an object travels 24 meters in 9 sec

onds, how long will it take to travel 96 meters?
a.32 seconds
b.36 seconds
c.40 seconds
d.42 seconds
Mathematics
1 answer:
photoshop1234 [79]4 years ago
5 0
The answer is B. 36 seconds. 

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Answer:

Mean = 48.6364

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Step-by-step explanation:

Given

n = 11

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Mean = \frac{\sum x}{n}

So:

Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}

Mean = \frac{535}{11}

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Solving (b): Sample variance (s^2)

This is calculated as:

s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}

Where:

\bar x = 48.6364

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s^2 = \frac{(24 -48.6364)^2 +(41  -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}

s^2 = \frac{3318.54545456}{10}

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Solving (c): Sample Standard Deviation (s)

This is calculated as:

s = \sqrt {s^2

s = \sqrt{331.8545

s = 18.2169

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