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navik [9.2K]
2 years ago
13

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
zimovet [89]2 years ago
6 0

-8~~,~~\stackrel{-8+2}{-6}~~,~~\stackrel{-6+2}{-4}~~,~~\stackrel{-4+2}{-2}\qquad \begin{cases} a_1=-8\\ d = +2 \end{cases}

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What are the steps to solve an inequality like: |n + 8| > 3 ??????
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Solve for x.<br> x + 14<br> 5x - 74<br> x = [?]
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\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}

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The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to ar
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C) 11

Step-by-step explanation:

1) 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)

s represent the sample standard deviation

n represent the sample size  

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{s}{\sqrt{n}}    

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from the last equation we got:

n=(\frac{z_{\alpha/2} s}{ME})^2  

And replacing the values that we got we have:

n=(\frac{1.64(14)}{7})^2 =10.758 \approx 11

C) 11

8 0
3 years ago
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