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Cerrena [4.2K]
3 years ago
8

The top speed of a wildebeest is 64 km/h and the top speed of a zebra is 64.4 km/h. How much faster is a zebra in feet per secon

d? 1 km = 0.62137 miles. Round your answer to the nearest hundredths
Mathematics
2 answers:
WITCHER [35]3 years ago
7 0
The zebra is 0.36ft/sec faster.

This is dimensional analysis.  We set up ratios to help us solve this:

Wildebeest:
\frac{64\textkm}{1\text{hr}}\times\frac{1\text{hr}}{60\text{min}}=\frac{64\text{km}}{60\text{min}}
\times \frac{1\text{min}}{60\text{sec}}=\frac{64\text{km}}{3600\text{sec}}
\\
\\\frac{64\text{km}}{3600\text{sec}}\times \frac{0.62137\text{mi}}{1\text{km}}
=\frac{39.76768\text{mi}}{3600\text{sec}}\times \frac{5280\text{ft}}{1\text{mi}}
=\frac{209973.3504\text{ft}}{3600\text{sec}}\approx 58.33\text{ft/sec}

Zebra:
\frac{64.4\text{km}}{1\text{hr}}\times \frac{1\text{hr}}{60\text{mi}}=\frac{64.4\text{km}}{60\text{min}}
\times \frac{1\text{min}}{60\text{sec}}=\frac{64.4\text{km}}{3600\text{sec}}
\times \frac{0.62137\text{mi}}{1\text{km}}
\\
\\=\frac{40.016228\text{mi}}{3600\text{sec}}\times \frac{5280\text{ft}}{1\text{mi}}=\frac{211285.6838\text{ft}}{3600\text{sec}}\approx 58.69\text{ft/sec}

The difference is found by subtracting them:
58.69 ft/sec - 58.33 ft/sec = 0.36 ft/sec difference.
7nadin3 [17]3 years ago
5 0
The first thing we must do is subtract both speeds.
 We have then:
 64.4 km / h - 64.0 km / h = 0.40 km / h
 We now change units taking into account the following conversions:
 1h = 3600s
 1km = 3280.84 feets
 We have then:
 0.40 * (3280.84 / 3600) = 0.364537778 feet / s
 Answer: 
 a zebra is faster 0.364537778 in feet per second
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Answer:

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b) p-value for this test = 0.006266

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0.0063 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to suggest that the coffee industry's claim isn't true based in results obtained from the sample data.

Hope this Helps!!!

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