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3 years ago

8 by the power of -4

Mathematics

1 answer:

Musya8 [376]3 years ago

6 0

Answer:

1/4096

Step-by-step explanation:

Note that if there is a negative in the power, simply put the term and power under 1.

8^(-4) = 1/(8^4)

Simplify:

1/(8 * 8 * 8 * 8) = 1/(4096)

1/4096 is your answer.

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A Simple Random Sample reflects that ________ individual in the population has an ________ chance of being selected.

monitta

Answer:

any, equal

Step-by-step explanation:

A Simple Random Sample reflects that any individual in the population has an equal chance of being selected.

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3 years ago

Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equ

NemiM [27]

For the first equation, the answer is C) completing the square.
For the second equation, the answer is B) zero product property.

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For the second equation, since it is already factored, we use the zero product property to solve it.

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3 years ago

Is 1/4 of 8 equal to 2

Svet_ta [14]

Yes, 1/4 of 8 is equal to two.
1/4x8=2
Hope this helps! :)

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3 years ago

Read 2 more answers

I need help please

ElenaW [278]

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

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3 years ago

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A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis

VMariaS [17]

Answer:

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X=320128$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=50324$ represent the population standard deviation

n=529 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$320128-1.96\frac{50324}{\sqrt{529}}=315839.52$

$320128+1.96\frac{50324}{\sqrt{529}}=324416.48$

So on this case the 95% confidence interval would be given by (315839.52;324416.48)

8 0

3 years ago