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3 years ago

Question 6 of 10

Mathematics

1 answer:

DedPeter [7]3 years ago

8 0

The graph is attached.

Step-by-step explanation:

This will be an exponential function, which means it will be a smooth curve.

The y-intercept will be 35, since this is the starting population.

Since the population is increasing, the curve will increase as well.

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irakobra [83]

Answer:

x = -3 and x = 1/2

Step-by-step explanation:

To find the solutions to

2x² + 5x - 3 = 0

we can use the quadratic formula, as follows:

$x = \frac{-b \pm \sqrt{b^2- 4(a)(c)}}{2(a)}$

$x = \frac{-5 \pm \sqrt{5^2- 4(2)(-3)}}{2(2)}$

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3 years ago

A population has a standard deviation of 5.5. What is the standard error of the sampling distribution if the sample size is 81?

VladimirAG [237]

Answer:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

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

And the standard error would be:

$\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

Step-by-step explanation:

For this case we know the population deviation given by:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

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

And the standard error would be:

$\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

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Answer:

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Step-by-step explanation:

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