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2 years ago

Identify the pattern and find the next number in the pattern. 0.9, 3.6, 14.4, 57.6

1 answer:

4 0

For any given pattern pattern there is a law connecting the numbers in the pattern such that using the law or the formula one can predict the next number in the pattern. In this case, between two consecutive numbers there is a scale factor of 4 such that to get the next number you multiply the previous by 4.
Therefore, the next number in this pattern will be 57.6 ×4 = 230.4
=230.4.

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Complete the equation of the line through [1,4] and [2,2]

son4ous [18]

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2 years ago

3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

salantis [7]

Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

We assume for this case a confidence level of 95%. 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:

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

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 if we replace the values obtained we got this:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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2 years ago

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rewona [7]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Does this graph represent a function? Why or why not?

Morgarella [4.7K]

Answer:

Option D is the correct answer

Step-by-step explanation:

D. Yes, because it passes the vertical line test.

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1 year ago

Which is an odd monomial function? A.y=2x^3 B.1/x C.5x^-9 D.3

Anna71 [15]

First let's review two concepts:
Monomy: Algebraic expression that consists of a single term or in which the terms that form it are related by the product operation.
Odd function: A function is odd if, for each x in the domain of f, f (- x) = - f (x).
The function y = 2x ^ 3 complies with both definitions.
Answer:
an odd monomial function is:
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2 years ago