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ladessa [460]
3 years ago
6

a man runs around a circular field of a diameter 112 metre find the distance covered by him running around it five times​

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

≈ 1758.4 m

Step-by-step explanation:

The distance is equal to the length of 5 circles with a diameter of 112 meters

distance = 5 · π · d = 5 · 3.14 · 112 ≈  1758.4 m

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Answer:

P(\mu -1< \bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

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X \sim N(\mu,10)  

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And let \bar X represent the sample mean, the distribution for the sample mean is given by:

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We are interested on this probability

P(\mu -1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\mu -1

=P(\frac{\mu -1-\mu}{\frac{10}{\sqrt{100}}}

And we can find this probability on this way:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

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3 years ago
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