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Harlamova29_29 [7]
3 years ago
7

If john ran 5 kilometer marathon ,how long was that in meters

Mathematics
2 answers:
murzikaleks [220]3 years ago
5 0
<span>5000 meters. The prefix kilo- denotes multiplication of 1000. Using this knowledge, a kilometer can be translated to 1000 meters. The units also each have a shorthanded symbol, kilometer is km and meter is m. 1 km = 1000m Using this, we can rewrite this equation to fit our problem 5 km = ?m Substitute in meters for kilometers. 5 (1000m) = 5000m Giving us the correct answer of 5000 meters.</span>
Dominik [7]3 years ago
4 0

The answer would be 5000 meters.

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Step-by-step explanation:

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The R. R. Bowker Company collects information on the retail prices of books and publishes the data in The Bowker Annual Library
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Answer:

a) t=\frac{54.97-57.61}{\frac{8.45}{\sqrt{28}}}=-1.653    

The degrees of freedom are given by:

df=n-1=28-1=27  

p_v =2*P(t_{(27)}  

b) The conclusion depends on the significance level selected, if the p value is lower than a significance level given we have enough evidence to conclude that the true mean is different from 57.61, otherwise we FAIl to reject the null hypothesis and thare is no evidence to conclude that the true mean is different from 57.61

Step-by-step explanation:

Data provided

\bar X=54.97 represent the mean for the retail price

s=8.45 represent the sample standard deviation

n=28 sample size selected  

\mu_o =57.61 represent the value that we want to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value for the test

Part a

System of hypothesis

We want to check if the true mean for the reatil price is 57.61 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 57.61  

Alternative hypothesis:\mu \neq 57.61  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic is given by:

t=\frac{54.97-57.61}{\frac{8.45}{\sqrt{28}}}=-1.653    

P value

The degrees of freedom are given by:

df=n-1=28-1=27  

The p value would be:

p_v =2*P(t_{(27)}  

Part b: Conclusion  

The conclusion depends on the significance level selected, if the p value is lower than a significance level given we have enough evidence to conclude that the true mean is different from 57.61, otherwise we FAIl to reject the null hypothesis and thare is no evidence to conclude that the true mean is different from 57.61

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A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}
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Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

(we can do so because the probability is the same for each number - it'sna fair dice)

For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).

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