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olga_2 [115]
3 years ago
6

Kennedy needed to get her computer fixed. She took it to the repair store. The

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

12.056

Step-by-step explanation:

Equation: 3.75x+58=226.75

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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
In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated b
Alexandra [31]

Answer:

17155

Step-by-step explanation:

23500-27%-17155

To the nearest hundred: 17200.

8 0
3 years ago
What is the quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation
serg [7]

Answer:

Da answer issss...7.4 x 10^4..I tink

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3 years ago
Yolanda makes wooden boxes for a craft fair. she makes 100 boxes like the one shown and she wants to paint all the outside faces
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Honestly... i don't even know

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3 years ago
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Will mark Brainliest! You MUST explain step-by-step how you solved the problem.
sergiy2304 [10]

Answer:

choice C) 30 ft

Step-by-step explanation:

tan 41° = height/34

0.8693 = height/34

height = 29.56 or rounded to 30 ft

3 0
2 years ago
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