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3 years ago

Use the Ratio Test to determine whether the series is convergent or divergent.

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

what is your question you already told us the answer

Step-by-step explanation:

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You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con

AlladinOne [14]

Using the z-distribution, a sample size of 180 is needed for the estimate.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 98% confidence level, hence $\alpha = 0.98$ , z is the value of Z that has a p-value of $\frac{1+0.98}{2} = 0.99$ , so the critical value is z = 2.327.

The population standard deviation is of $\sigma = 23$ , and to find the sample size, we have to solve for n when M = 4.

Hence:

$M = z\frac{\sigma}{\sqrt{n}}$

$4 = 2.327\frac{23}{\sqrt{n}}$

$4\sqrt{n} = 2.327 \times 23$

$\sqrt{n} = \frac{2.327 \times 23}{4}$

$(\sqrt{n}) = \left(\frac{2.327 \times 23}{4}\right)^2$

n = 179.03.

Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0

2 years ago

12/13+(-1/13 complete the expressions to find the sum or difference..

Afina-wow [57]

Answer:

11/13

Step-by-step explanation:

$\frac{12}{13}+ (-\frac{1}{13} )$
$\frac{12}{13} - \frac{1}{13}$
$\frac{11}{13}$

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2 years ago

Marcus saved $10 because he bought a baseball glove that was on sale for 40% off. What was the original price of the baseball gl

Tpy6a [65]

The original price was $25. I think -_-

7 0

3 years ago

What is the domain of the square root function graphed below?

alexdok [17]

Provide the graph and I would be happy to help :)

4 0

3 years ago

PLEASE HELP, TIMED FINAL

deff fn [24]

First, the number given in <em>g(x)</em> is 4, so look at the graph. You need to find that number that makes one of the statements true.

The true statement is at 4≤<em>x</em><8, because 4≤4, and 4<8, so replace the x on equation 0.5x+10 with 4.

0.5(4)+10

0.5 × 4 = 2

2+10 = 12

So, the value for <em>g(4)</em> is <em>12.</em>

3 0

4 years ago

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