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3 years ago

Write the formula for the parabola.

Mathematics

1 answer:

Talja [164]3 years ago

3 0

Answer:

Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

Step-by-step explanation:

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Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the po

vfiekz [6]

Answer:

b. 224

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.58$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

We want to find n, when $M = 0.5, \sigma = 2.9$ So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.5 = 2.58*\frac{2.9}{\sqrt{n}}$

$0.5\sqrt{n} = 7.482$

$\sqrt{n} = 14.964$

$(\sqrt{n})^{2} = (14.964)^{2}$

$n = 223.9$

The nearest integer number to 223.9 is 224.

So the correct answer is:

b. 224

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