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2 years ago

X/3 = -2 i dont know how to do this

Mathematics

1 answer:

4vir4ik [10]2 years ago

6 0

Answer:

-6

Step-by-step explanation:

3*x/3=-2*3

^-- times both sides by the denominator (3)

the threes on the left side of the equal sign will cancel themselves out. you are thn left with

x=-2*3

-2*3=-6

x=-6

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Find the value of x and y

const2013 [10]

is the same thing here as the other triangles, the triangle below is an equilateral, the one above is an isosceles.

the vertex of the isosceles is 40°, so the twins angle at the base are (180 - 40)/2 = 70° = x each.

since the sides in the equilateral are all the same length, then 2y + 10 = x - y, but we already know what "x" is, so

$\bf 2y+10=x-y\implies 2y+10=\stackrel{x}{70}-y\implies 3y=60 \\\\\\ y=\cfrac{60}{3}\implies y=20$

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3 years ago

0.075, 0.75%, 3/ 4 least to greatest

vodka [1.7K]

3/4, 0.075, 0.75%. Best of luck!

3 0

3 years ago

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Which of the following is equal to the rational expression below when x=11?

topjm [15]

Our first expression is equal to zero:
$\frac{x^2-121}{x+11}= \frac{11^2-121}{11+11} = \frac{121-121}{22}=0$
So we simply find the expression that is equal to zero.
The final answer is a.
$x-11=11-11=0$

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 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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3 years ago

Which expression is equivalent to

Norma-Jean [14]

Answer:

40x^6

Step-by-step explanation: took the test

5 0

3 years ago

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