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1 year ago

_/4=12/16Find the answer for the blank space

Mathematics

1 answer:

Zarrin [17]1 year ago

5 0

We have to fill the blank to find an equivalent fraction:

$\begin{gathered} \frac{x}{4}=\frac{12}{16} \\ x=\frac{12}{16}\cdot4 \\ x=12\cdot\frac{4}{16} \\ x=12\cdot\frac{1}{4} \\ x=\frac{12}{4} \\ x=3 \end{gathered}$

Answer: fill the blank with 3.

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A= 1/2 h (m+n) solve for n

melisa1 [442]

Answer:

2hms+2hns

Step-by-step explanation:

3 0

3 years ago

Is this correct? Thanks to anyone who answers.

GREYUIT [131]

Hello!

A proportional relationship means the line passes through the origin (0,0) and shows a constant rate of change.

Your answers appear to be correct. Good job! :)

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3 years ago

Pls help :( Will mark as brainliest

bagirrra123 [75]

Answer: The only correct answer is 8/18. See below

Step-by-step explanation:

All you need to do is divide the denominator of 9 into the denominator of each fraction, and multiply the numerator by the same factor like this:

4/9 = ?/36; 36/9 = 4; 4x4 =16, so we know that 4/9=16/36 NOT 20/36

4/9 = ?/18; 18/9 =2; 2x4 =8, so we know that 5/9 = 8/18 so YES.

4/9 = ?/45; 45/9=5; 5x4 = 20, so we know that 5/9 = 20/45 NOT 24/45

5/9 = ?/27; 27/9 =3; 3x5 = 15, so we know that 5/9 = 15/27 NOT 12/27

8 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 95% confidence interval for the current mean age of death-row inmates is between 42.23 years and 35.57 years.

Step-by-step explanation:

The confidence interval 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 level of significance $\\ \alpha$ is 1 - 0.95 = 0.05. In this case, then, we have that the z-score 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 standard normal table, 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 normal distribution. 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.

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4 years ago

100 = 10 to the power of what

Greeley [361]

Answer:

10 to the power of 2

Step-by-step explanation:

5 0

3 years ago

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