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qaws [65]
3 years ago
5

List all prime numbers less then 30

Mathematics
1 answer:
suter [353]3 years ago
5 0
2,3,5,7,11,13,17,19,23,29.
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Use the distribution property to express 48 + 72
rosijanka [135]

Answer:

a

Step-by-step explanation:

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The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
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-2 is your answer hope this helps!

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A professor at a university wants to estimate the average number of hours of sleep students get during exam week. The professor
kotegsom [21]

Answer:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =6.995 represent the population standard deviation

n represent the sample size  

Solution to the problem

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =1.939 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

If we replace we have this:

n=(\frac{1.64(6.995)}{1.939})^2 =35.003 \approx 36

So the answer for this case would be n=36 rounded up to the nearest integer

4 0
4 years ago
Consider the data below. 20, 40, 50, 50, 60, 80, 80, 80 Each value increases by 10. Determine whether each statement is true or
larisa [96]

Answer:

True

True

True.

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Step-by-step explanation:

When the data values are increased by 10, the value of the mean, median and mode also increases by 10.

Kindly check the attached file for the workings.

7 0
4 years ago
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Can i have help with this please
marusya05 [52]

Answer:

a) Negative Correlation

b) Diagram C

c) Correlation c because it is a positive correlation

Hope this helps :)

Step-by-step explanation:

8 0
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