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Dennis_Churaev [7]
3 years ago
6

Josh cycled 8 laps on a bicycle path surrounding a lake. Each lap was the same length. If he cycled a total of 26.4mi, what was

the length of each lap around the lake? Write your answer in feet. Use the table of conversion facts as necessary, and do not round your answer. ft
Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

The length of each lap around the lake was of 3.3 miles.

Step-by-step explanation:

Given that Josh cycled 8 laps on a bicycle path surrounding a lake, and each lap was the same length, to determine what was the length of each lap around the lake if he cycled a total of 26.4 miles, the following calculation must be performed:

26.4 / 8 = X

3.3 = X

Thus, the length of each lap around the lake was 3.3 miles.

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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
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Answer:

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Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

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<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

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Answer:

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