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2 years ago

Find the slope of the line that passes through (2,3) and (-2,1) Show the necessary steps.

Mathematics

1 answer:

notsponge [240]2 years ago

7 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Use the Slope Formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the points (2,3) and (-2,1).

$m=\frac{1-3}{-2-2}=\frac{-2}{-4}=\frac{1}{2}$

The slope of the line is $\frac{1}{2}$ .

Brainilest Appreciated.

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AVprozaik [17]

Answer:

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Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

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

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So then is appropiate use the normal distribution to find the probabilities for $\bar X$

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". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

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

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

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