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elixir [45]
2 years ago
15

Find the area of each polygon. 35 points

Mathematics
1 answer:
stiv31 [10]2 years ago
6 0

Answer:

I would like to the the same thing

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You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that
Nataly_w [17]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

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 0.13 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)  

We assume the value for \hat p =0.5 since we don't have previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

4 0
3 years ago
Read 2 more answers
Which of the following polynomial functions is graphed below?
Olegator [25]

Answer: B. f(x)=(x+4)(x-2)^2(x+3)

Step-by-step explanation:

in the graph there's two negative x value and one positive x value

so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)

the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))

6 0
2 years ago
Read 2 more answers
Gwen says that the sum of -1 3/4 and 2 1/2 is the same as the difference between 2 1/2 and 1 3/4. Is Gwen correct? Explain why o
solong [7]

Answer: No

Step-by-step explanation: no because one is negative 1 3/4 and the other one isint in the negatives

4 0
2 years ago
Please help w number 2 :) A-B
suter [353]
Peter piper picked a pepper
5 0
3 years ago
Carbon-14 has a half-life of 5,730 years. If a sample contained 70 mg originally, how much is left after 17,190 years?
kow [346]

17,190 / 5,730 = 3. This means we must divide 70mg in half 3 times

70 / 2 = 35

35 / 2 = 17.5

17.5 / 2 = 8.75

There will be 8.75 mg left after 17,190 years.

7 0
3 years ago
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