Divide using long division or Synthetic Division. 2x^3-3x^2-5x-12 dividing by x-3

I m having a hard time understanding statistics. Just one of the questions is this: I am just sure where to start and the formul

m_a_m_a [10]

Answer:

Step-by-step explanation:

$0.359$0.359Thep-value is the probability of an observed value of z=0.36or greater if then ull hypothesis is true, because this hypothesis test is right-tailed. This probability is equal to the area under the Standard Normal curve to the right of z=0.36

5 0

2 years ago

Which regular polygon's interior angles measure a total of 720 degrees?

SOVA2 [1]

We know that
The formula to <span>find the sum of the interior angles of a regular polygon is
</span>(n - 2)*180°
where n is the number of sides
so
clear n
(n - 2)*180° = 720°-----> (n-2)=720/180---> n-2=4----> n=6 sides

the answer is
6 sides

5 0

3 years ago

What is the surface area of the triangular pyramid that can be formed from this net?

sleet_krkn [62]

Answer:

150

Step-by-step explanation:

do the math in calculator and i did the test

5 0

4 years ago

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: