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2 years ago

Which statement makes the open sentence 12+3x=30

Mathematics

1 answer:

Sergio [31]2 years ago

6 0

12 + 3x = 30 // what is x?
3x = 18
x = 6

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Iteru [2.4K]

Answer:

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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:

$\mu_{\bar X}= 3.6$

$\sigma_{\bar X} = \frac{5}{\sqrt{100}}= 0.5$

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2 years ago