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2 years ago

Problem solving math

Mathematics

1 answer:

tatiyna2 years ago

6 0

Answer: 53.1%

----------------------------

Explanation:

The change from 76.1 to 116.5 is 40.4
This means that 40.4 more million people voted in the second year compared to the first

Divide this difference (40.4 million) over the original amount (76.1 million) to get

40.4/76.1 = 0.53088 which converts to 53.088% and that rounds to 53.1%

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Iteru [2.4K]

Answer:

$X \sim N(3.6,5)$

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Then we have:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

With the following parameters:

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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".

Solution to the problem

Let X the random variable that represent the number of cars running a red light of a population, and for this case we know the distribution for X is given by:

$X \sim N(3.6,5)$

Where $\mu=3.6$ and $\sigma=5$

Since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

With the following parameters:

$\mu_{\bar X}= 3.6$

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