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3 years ago

Please help. Which graph represents a function? I think a.

Mathematics

1 answer:

drek231 [11]3 years ago

4 0

graph B ( the lower one )

for a function to be defined there can only be one value of y for each value of x

graph A has more than 1 value of y for given values of x

for example ( - 1, 4 ) and ( - 1, - 4 ) thus is not a function

graph B only has 1 value of y for a given value of x thus is a function

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A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

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

Since the distribution for X is normal then the distribution for the sample mean 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 $\bar X$

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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3 years ago

You're a 7th grade math teacher and you want to create an experiment for your class with red, yellow and purple marbles in the b

andreyandreev [35.5K]

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3 years ago

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ohaa [14]

Answer:

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Step-by-step explanation:

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3 years ago

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Mkey [24]

Answer:

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Step-by-step explanation:

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3 years ago

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Afina-wow [57]

Answer:

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Step-by-step explanation:

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3 years ago

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