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2 years ago

Find 140 percent of 15.

Mathematics

2 answers:

Anuta_ua [19.1K]2 years ago

6 0

Answer:

Step-by-step explanation:

Firstly, convert this percentage into a decimal. All you have to do is move the decimal point two digits to the left.

Your percentage is currently 140.00. The decimal would be 1.40.

Next, take the given number (15 in this case) and multiply it by the decimal number:

15 * 1.40 = 21.

Hope this helped!

Setler [38]2 years ago

4 0

Answer:

Step-by-step explanation:

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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

2 years ago

There are 95 white pieces of paper in a hat along with 5 blue pieces of paper. What is the theoretical probability that a blind-

sp2606 [1]

Answer:

Step-by-step explanation:

Probability is the likelihood of an event taking place.

-Given there are 95 white and 5 blue pieces, the total number of papers is 100.

-The theoretical first attempt probability is equivalent to the number of each paper divided by the total:

$P(blue)= \frac{no \ of \ blue}{total}\\\\=\frac{5}{100}\\\\=0.05$

Hence, the theoretical probability that a blind-folded person draws a blue piece of paper on the first attempt is 0.05 or 5%

6 0

3 years ago

The perimeter of the triangle with the sides measuring 15 inches, 18 inches, and 7 inches is 40 inches. If you wanted to constru

Arlecino [84]

The results in the question conclude that it is an isosceles triangle so your answer can vary; for example, your could be 10, 22, 18 which would make the perimeter 50 like the question states. So your answer will vary anyways you just have to remember that it is an isosceles triangle so all three sides will be a different length.

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3 years ago

За – 15b – 2c|<br> HELPPP!!

nekit [7.7K]

Answer:

what are solving it with??

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3 years ago

Is the opposite of 32, is 32?

ELEN [110]

Answer:

Step-by-step explanation:

NO i think

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3 years ago