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yawa3891 [41]
3 years ago
15

Show the work for INVERSE, thank you. I got 17 but I did it wrong because it has to be 7

Mathematics
2 answers:
Yuri [45]3 years ago
6 0

12 - x = 5

Subtract 12 from both sides

12 - 12 - x = 5 - 12

- x = - 7

Divide both sides by -1

-x/-1 = -12/-1

x = 7

mixer [17]3 years ago
4 0

For 12-x = 5 to be true

simplly take x on the right side of the equation and put five in the place of x.

12 - x = 5

12 - 5 = x

now 12 - 5 = 7

therefore the value of x = 7.

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In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean
Nastasia [14]

Answer:

a) \bar X =\frac{46+54}{2}=50

And the margin of error is given by:

ME= \frac{54-46}{2}= 4

The confidence level is 0.96 and the significance level is \alpha=1-0.96=0.04 and the value of \alpha/2 =0.02 and the margin of error is given by:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

We can calculate the critical value and we got:

z_{\alpha/2} = 2.05

And if we solve for the deviation like this:

\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}

And replacing we got:

\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45

b) ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor \sqrt{2}

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n=80 represent the sample size  

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

For this case we can calculate the mean like this:

\bar X =\frac{46+54}{2}=50

And the margin of error is given by:

ME= \frac{54-46}{2}= 4

The confidence level is 0.96 and the significance level is \alpha=1-0.96=0.04 and the value of \alpha/2 =0.02 and the margin of error is given by:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

We can calculate the critical value and we got:

z_{\alpha/2} = 2.05

And if we solve for the deviation like this:

\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}

And replacing we got:

\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45

Part b

For this case is the sample size is doubled the margin of error would be:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor \sqrt{2}

5 0
3 years ago
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anyanavicka [17]

Answer:

V = 8 × 6 × 3

V = 48*3

Step-by-step explanation:

V = l*w*h

We know the length is 8, the width is 6 and the height is 3

V = 8*6*3

V = 48*3

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Answer:

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Step-by-step explanation:

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Round each number to the underlined place. <br> 4.6666<br> The third 6 is underlined
Nadya [2.5K]
Hello There!

It would be 4.667.

Hope This Helps You!
Good Luck :)
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Please help ill give brainliest!! Im terrible at math :(<br><br> What is: 3 divided by \frac{1}{4} ?
Ghella [55]

Answer:

12

Step-by-step explanation:

3 ÷ 1/4

Copy dot flip

Keep the first number, change the divide to multiply and take the reciprocal of the 2nd number

3 * 4/1

12

3 0
3 years ago
Read 2 more answers
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