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Iteru [2.4K]
2 years ago
8

Which is the prime number

Mathematics
2 answers:
Zinaida [17]2 years ago
7 0
19  because it can only be divided by 19 and 1
Mekhanik [1.2K]2 years ago
6 0
The answer is 19, the third one counting from the left.
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Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law tha
irinina [24]

Answer:

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

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

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".  

The population proportion have the following distribution  

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

Solution to the problem

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)  

If solve n from equation (a) we got:  

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

The margin of error desired for this case is ME= \pm 0.02 equivalent to 2% points

For this case we need to assume a confidence level, let's assume 95%. And since we don't have prior estimation for the population proportion of interest the best value to do an approximation is \hat p =0.5

In order to find the critical value we need to take in count that we are finding the margin of error 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}=\pm 1.96  

Now we have all the values needed and if we replace into equation (b) we got:

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

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

5 0
3 years ago
There are 70 sixth graders at Wilson Middle School. Only 40% of the sixth graders will attend the morning assembly. How many six
love history [14]

Answer: 42

Step-by-step explanation:

We know that because 40% percent of 70 equals 28. So we do the following-

70 minus 28 equals 42!

Glad to help!

8 0
3 years ago
Multiply and simplify (3x + 4)( x + 1)
mamaluj [8]
 your answer is 10x+4
5 0
3 years ago
Read 2 more answers
Which sphere has a radius of 4 in.?
Nataliya [291]

Answer:

A sphere with a radius of 4 inches has a volume of

Sphere Volume = 4/3 • π • r³ =

4/3 * PI * 4^3 =

268.0825731063  which matches NONE of the choices

Step-by-step explanation:

7 0
3 years ago
A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the noz
telo118 [61]
I found the image that accompanied this problem.
We need to solve for the area of the sector.

A = n/360 * π * r²
A = 85/360 * 3.14 * 5²
A = 0.2361 * 3.14 * 25
A = 18.5347 

Answer is C. 18.5 square meters.
6 0
3 years ago
Read 2 more answers
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