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3 years ago

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I'm a little confused on a question a have to do. It says, Alan has a map of Narniland on his kitchen table. A. How is the table

top like geometric plane? B. How is the table top different from a geometric plane?

1 answer:

omeli [17]3 years ago

6 0

<span>geometric plane says it extends infinitely outward in all directions and has no thickness. so that wouldn't fit a table so its pretty much what i just said</span>

You might be interested in

Cube root of 0.000064

const2013 [10]

<span>Cube root of 0.000064 = 0.04

hope it helps
------------------</span>

6 0

3 years ago

In 2002, the mean age of an inmate on death row was 40.7 years with a standard deviation of 9.6 years according to the U.S. Depa

marissa [1.9K]

Answer:

The <em>95% confidence interval</em> for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Step-by-step explanation:

The <em>confidence interval</em> of the mean is given by the next formula:

$\\ \overline{x} \pm z_{1-\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$ [1]

We already know (according to the U.S. Department of Justice):

The (population) standard deviation for this case (mean age of an inmate on death row) has a standard deviation of 9.6 years ( $\\ \sigma = 9.6$ years).
The number of observations for the sample taken is $\\ n = 32$ .
The sample mean, $\\ \overline{x} = 38.9$ years.

For $\\ z_{1-\frac{\alpha}{2}}$ , we have that $\\ \alpha = 0.05$ . That is, the <em>level of significance</em> $\\ \alpha$ is 1 - 0.95 = 0.05. In this case, then, we have that the <em>z-score</em> corresponding to this case is:

$\\ z_{1-\frac{\alpha}{2}} = z_{1-\frac{0.05}{2}} = z_{1-0.025} = z_{0.975}$

Consulting a cumulative <em>standard normal table</em>, available on the Internet or in Statistics books, to find the z-score associated to the probability of, $\\ P(z$ , we have that $\\ z = 1.96$ .

Notice that we supposed that the sample is from a population that follows a <em>normal distribution</em>. However, we also have a value for n > 30, and we already know that for this result the sampling distribution for the sample means follows, approximately, a normal distribution with mean, $\\ \mu$ , and standard deviation, $\\ \sigma_{\overline{x}} = \frac{\sigma}{\sqrt{n}}$ .

Having all this information, we can proceed to answer the question.

Constructing the 95% confidence interval for the current mean age of death-row inmates

To construct the 95% confidence interval, we already know that this interval is given by [1]:

$\\ \overline{x} \pm z_{1-\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

That is, we have:

$\\ \overline{x} = 38.9$ years.

$\\ z_{1-\frac{\alpha}{2}} = 1.96$

$\\ \sigma = 9.6$ years.

$\\ n = 32$

Then

$\\ 38.9 \pm 1.96*\frac{9.6}{\sqrt{32}}$

$\\ 38.9 \pm 1.96*\frac{9.6}{5.656854}$

$\\ 38.9 \pm 1.96*1.697056$

$\\ 38.9 \pm 3.326229$

Therefore, the Upper and Lower limits of the interval are:

Upper limit:

$\\ 38.9 + 3.326229$

$\\ 42.226229 \approx 42.23$ years.

Lower limit:

$\\ 38.9 - 3.326229$

$\\ 35.573771 \approx 35.57$ years.

In sum, the 95% confidence interval for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Notice that the "mean age of an inmate on death row was 40.7 years in 2002", and this value is between the limits of the 95% confidence interval obtained. So, according to the random sample under study, it seems that this mean age has not changed.

7 0

3 years ago

Olivia is thinking of a number. She says “my number is odd is is a factor of 30 and a multiple of 3” there are two possible numb

vovikov84 [41]

Answer:

3 and 15

Step-by-step explanation:

Let's list the factors of 30:

1, 2, 3, 5, 10, 15, 30

Of these, the odd ones are:

1, 3, 5, 15

Of these, the only numbers that are multiples of 3 are 3 and 15.

6 0

3 years ago

Read 2 more answers

Choose all that apply. What type of numbers represent parts of a whole?

yulyashka [42]

Fractions and decimals. (And maybe integers because some are decimals)

6 0

3 years ago

Find the slope (m) of the line containing the points (1, 2) and (2, 5).

Vladimir [108]

Answer:

<h2>3</h2>

Step-by-step explanation:

<h3>Step 1: Identify two points on the line</h3>

1,2 & 2,5

<h3>Step 2: Select x1, y1 & x2, y2</h3>

x1 = 2, y1 = 5 x2 = 1, y2 = 2

<h3>Step 3: Use the Slope Formula</h3>

change y/ change x

<u><em>IMPORTANT: it is change in y over change in x, not the other way around. It will be wrong if done the other way, though that would seem to be more logical, since x is the first variable in the pair.</em></u>

Y 5 -2 = 3

X 2 - 1 = 1

3/1 = 3

<em>PLEASE MARK BRAINLIEST</em>

5 0

3 years ago