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3 years ago

What is the value of x?

Mathematics

1 answer:

Ivanshal [37]3 years ago

5 0

The answer is that X=25 because (3x - 15) can be moved in the position where it is a vertical angle because of the corresponding angles postulate

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If a plane intersects a sphere, what is the shape of the resulting cross section?

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A circle is the answer

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3 years ago

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Germany, Italy, and Japan formed the Tripartite Pact in part because they:

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Answer:

hoped to convince the United States to stay out of World War II

Explanation:

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2 years ago

3. The bill at a restaurant

meriva

Answer:

$156.86

Step-by-step explanation:

$136.40 + 15% = $20.46

$136.40 + $20.46 = $156.86

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2 years ago

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A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare ben

juin [17]

Answer:

The estimation for the proportion for this case is $\hat p = 0.21$

And we know that the 99% confidence interval is given by:

$0.21 \pm 0.045$

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

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".

Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The estimation for the proportion for this case is $\hat p = 0.21$

And we know that the 99% confidence interval is given by:

$0.21 \pm 0.045$

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

5 0

3 years ago

An architect is designing an office building with n floors that will have an FM radio antenna 15.85 m tall on its roof. Each flo

sveticcg [70]

Answer:

h=3.9x+15.85 meters

Step-by-step explanation:

Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof

Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna

Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be

h=3.9x + 15.85 meters

8 0

3 years ago

What is the value of x?​

What is the value of x?