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Mariulka [41]
3 years ago
5

Radius: 3.5 units, Center (0,3.5)

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Step-by-step explanation:

General equation of circle:

(x - a)² + (y - b)² = r².

Therefore we have x² + (y - 3.5)² = 12.25.

You might be interested in
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects, prior to us
Sindrei [870]

Answer:

0.06 - 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.027

0.06 + 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.093

The 95% confidence interval would be given by (0.027;0.093)

A. 0.027 to 0.093.

Step-by-step explanation:

Notation and definitions

X=12 number of defective.

n=200 random sample taken

\hat p=\frac{12}{200}=0.06 estimated proportion of defectives

p true population proportion of defectives

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{p(1-p)}{n}})

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

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.06 - 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.027

0.06 + 1.96\sqrt{\frac{0.06(1-0.06)}{200}}=0.093

The 95% confidence interval would be given by (0.027;0.093)

A. 0.027 to 0.093.

6 0
3 years ago
1. Create a polynomial function, f(x), with the following characteristics.
myrzilka [38]

Answer:

martphones are a type of handheld computer that do not need input, output, processing, or storage.

Step-by-step explanation:

3 0
3 years ago
Hi, anyone know how to grow thick curly hair fast?
Anestetic [448]

im a boy so i looked it up on google here is what i found.



Use a wide-toothed comb, wash your hair in sections, dont wash your hair every day he tighter your curls, the less frequently your hair may need to be washed. If you do need to wash your hair more frequently, you can use a dry shampoo in between those washes.

Don’t “wash, rinse, and repeat”--that style advice may work for people with straighter hair, but it’s no good for those with curly hair. When you wash your hair, only wash it once, but make sure that it’s a thorough wash so that all dirt and oil is removed from your hair.

If needed, you can wash your hair with conditioner (called “co-washing”) in-between washes. That way you won't be harming your hair with sulfates, which are found in most shampoos.[1] Keep in mind that co-washing is great for retaining moisture but only mildly cleanses the hair.

8 0
3 years ago
A banana peel weighs 1/12 of the total weight of a banana. If an unpeeled banana balances a peeled banana of the same​ weight, p
Ilia_Sergeevich [38]

Answer:

11 ounces

Step-by-step explanation:

Unpeeled = X

Peeled = (1 - 1/12)X = (11/12)X

X = (11/12)X + (11/12)

X - (11/12)X = 11/12

(1/12)X = 11/12

X = 11 ounces

4 0
3 years ago
Read 2 more answers
What’s the answer and could you explain it
Nadusha1986 [10]
The answer is B.   Because there are 8 ribbons in all. 1 ribbon is black. so the equation would be 1/8. Assuming you don't draw the black ribbon on the first try, then you would try again. The second time you draw a ribbon you don't put the ribbon you drew back in. That means there are only 7 ribbons the second time. The 1 black ribbon is still in the bag than the equation would be 1/7. Then you add the two together. So it would be 1/8 + 1/7 = 1/15. Remember to only add the bottom numbers. not the top ones unless they are different colors or objects.
3 0
3 years ago
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