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wlad13 [49]
3 years ago
12

Which of the following shows the correct solution steps and solution to 3x-2= -11

Mathematics
2 answers:
Montano1993 [528]3 years ago
5 0
The third one is correct
Lina20 [59]3 years ago
4 0

Answer:

the third one is correct

Step-by-step explanation:

You might be interested in
Is 42(x + 14y) equivalent to 42x - 56y
g100num [7]

Answer:

No its not

Step-by-step explanation:

When 42(x + 14y) is simplified:

42(x + 14y)

Expand and remove the brackets. Remember brackets mean to multiply.

42*x

42x

42*14y

588y

42x+588y

Therefore 42x-56 is NOT EQUIVALENT to 42(x + 14y) but is equivalent to 42+588y

3 0
3 years ago
A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?
Stells [14]

Answer:

11 inches

Step-by-step explanation:

A rectangle's perimeter can be found using:

p=2l+2w

We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

58=2(18)+2w

Multiply 2 and 18

58=36+2w

Since we want to find the width, we need to get w by itself. First, subtract 26 from both sides

58-36=36-36+2w

22=2w

Since w is being multiplied by 2, divide both sides by 2. This will cancel out the 2, and leave w by itself.

22/2=2w/2

11=w

So, the width is 11 inches

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 <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 = 9.6years).
  • 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
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
zzz [600]

y = {(x + 1)}^{2} - 1

The one is a vertical translation of the parent function to the left of one

f(x) = {x}^{2}

making it -1.

4 0
3 years ago
Read 2 more answers
You are wrapping boxes for a fund-raiser. You have 80 large boxes. You need 2 and three-fourths feet of ribbon for each large bo
Ratling [72]

Answer:

5 rolls of ribbon are needed

Step-by-step explanation:

To find how much ribbon you'll use, multiply 80 by 2 3/4. To multiply them, convert 2 3/4 into an improper fraction 11/4.

Multiply: 80 * 11/4 = 880/4 = 220

This means you need 220 total feet of ribbon. Since each roll has 50 feet, you'll need 5 rolls or 250 feet to wrap every box.

4 0
3 years ago
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