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2 years ago

50 points!!!

Mathematics

1 answer:

fenix001 [56]2 years ago

6 0

Answer: A

Step-by-step explanation: once you line the numbers up in order from least the greatest, the two middle numbers will be 12. Add 12 + 12 and you get 24. Then divide it by 2 and get 12. That is your median. Your 1st quartile will be 10. Your second quartile will be 15. Your minimum number is 4 and your maximum number is 18.

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Can you help me !!!!!

kari74 [83]

Answer:

Step-by-step explanation:

Okay, so hopefully my crude diagram helps you visualize the problem. When in doubt, always draw a picture.

All I did was graph the points and formed a line.

Slope: It's going to be 0 because it doesn't change at all (no different y values)

(y2-y1)/(x2-x1) = (6-6) / (4-2) = 0/2 = 0

Y intercept is where the line crosses the y axis- this is also where x=0 (find it in your chart!)

Equation is y= 6; I don't know how to explain this, but trust me, it's right

8 0

3 years ago

Annabella wants to make the most economical decision so she chose the 3-year car loan so that after the loan is paid off to be a

Novay_Z [31]

Answer:

Annabella will save $4950.11 after 2 years.

Step-by-step explanation:

<h3>Given</h3>

Periodic payment P = $200,
Period t = 2 years,
Number of compounds, monthly n = 12,
Interest rate, r = 3.2% = 0.032.

Future value of saving, F

<h3>Solution</h3>

Use periodic compound formula:

$F=P\cfrac{(1+r/n)^{nt}-1}{r/n}$

Substitute the values and calculate:

$F=200\cfrac{(1+0.032/12)^{12*2}-1}{0.032/12} =4950.12$ rounded

6 0

1 year ago

Read 2 more answers

in a trivia game Joshua gets the score of -4 and the first round and it got five in the second round what is his total score aft

tankabanditka [31]

Joshua’s total score is 1 cuz -4 + 5 = 1

4 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

If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,

maria [59]

Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61

5 0

2 years ago