Which equation represents a circle with a center of (6,-3) and a radius of 4?

Mathematics

2 answers:

Aleksandr [31]1 year ago

7 0

The answer is (x-6)^2+(y+3)^2=4

Troyanec [42]1 year ago

3 0

Answer: (x-6)2 + (y+3)2=4

Step-by-step explanation:

I’m smart like dat cuh

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B(a + b) - a (a -b )

Fantom [35]

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7 0

2 years ago

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A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl

LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use $\pi = 0.5$ , which is when the largest sample size will be needed.