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3 years ago

Find the answers to these two problems. PLEASE HELP!!

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

1st question

angles 6 and 7
or
angles 2 and 3

2nd question

Angles 3 and 2
or
Angles 5 and 7

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A plumbers bill is £463.20 plus VAT. The current rate of VAT is 20% what is the actual cost of work done

Jet001 [13]

Actual cost = bill + VAT*bill
= bill*(1 +VAT)
= £463.20*(1 +0.20)
actual cost = £555.84

4 0

3 years ago

The sum of two consecutive numbers is thirty-five, what are the numbers?

777dan777 [17]

Answer: 17 and 18.

Step-by-step explanation: The simple way is to divide 35 by 2 i.e, 35/2 = 17.5 and take the preceding and succeeding whole numbers. In this case, 17 and 18.

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2 years ago

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Is 3/8 estimated to be closer to 0 or 1?

kolezko [41]

The cut-off point is 0.5: higher than this would be closer to 1, and lower would be closer to 0

and 3/8 is lower than 0.5: we know this because a bigger number, 4/8 is equal to 0.5

so it's closer to 0!

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3 years ago

Read 2 more answers

Need Help Badly!!!!!! The dot plot below shows the number of books 26 students read in a month: Dot plot labeled Number of Books

algol13

The dot plot below shows the number of books 26 students read in a month:

Is the median or the mean a better center for this data and why? help plz

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3 years ago

Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic

o-na [289]

Answer:

a) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

b) $n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

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

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

Part a

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

Part b

For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

4 0

3 years ago