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vova2212 [387]
3 years ago
11

A cyclist rode 3.75 miles in 0.3 hours.

Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

A. 12.5 miles per hour B. 0.36 hours

Step-by-step explanation:

3.75/.30=12.5 , so divide 3.75 by the time 0.30 hours and you get your miles per hour

next, take 4.5 and divide by the new mph 12.5 from your previous answer.

4.5/12.5=0.36 hours

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Answer:

The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%

Step-by-step explanation:

Solution:-

- The sample size, n = 150 visitors

- The proportion of visitors who hiked, p = 0.14

- We are to create a 94% confidence interval for the population proportion.

- We will determine the Z-critical value for the CI : 0.94 or significance level α = 0.06

- The critical value is defined and plucked from Z-score (standardized) tables as:

                        Z-critical = Z_α/2 = Z_0.03 = 1.88

- The confidence interval for the population proportion (p) is constructed as:

                         ( p - Z-critical\sqrt{\frac{p*(1-p)}{n} } , p + Z-critical\sqrt{\frac{p*(1-p)}{n} } )\\\\( 0.14 - 1.88\sqrt{\frac{0.14*(1-0.14)}{150} } , p + 1.88\sqrt{\frac{0.14*(1-0.14)}{150} } )\\\\( 0.08673  , 0.19326 )

- The 94% confidence interval is : ( 0.0867 , 0.1933 ) = ( 8.67 , 19.33 )%

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