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4 years ago

PLEASE HELP ME I need an answer

Mathematics

1 answer:

son4ous [18]4 years ago

5 0

Just for you beautiful!

Use distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

(11,-4) is (x1,y1) and (-12,-4) is (x2,y2)

Plug in and simplify

d = sqrt((-12 - 11)^2 + (-4 - -4)^2)

d = sqrt((-23)^2 + (0)^2)

d = sqrt(529 + 0)

d = sqrt(529)

d = 23 (positive because length cannot be negative) ;)

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Which of these must be true

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3 years ago

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Step-by-step explanation:

4 0

3 years ago

14x-5=7+11x i need help with this

leva [86]

Answer:

x=4

Step-by-step explanation:

first lets move it over

3x = 12

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check:

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4 years ago

Choose the two number sentences that are true.

Inessa05 [86]

Answer:

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3 years ago

A random sample of 500 of these people is drawn, of whom 194 turn out to be currently enrolled in college. Estimate the percenta

Rzqust [24]

Answer:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

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

The estimated proportion on this case is given by:

$p = \frac{X}{n}= \frac{194}{500}=0.388$

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 95.5% of confidence, our significance level would be given by $\alpha=1-0.955=0.045$ and $\alpha/2 =0.0225$ . And the critical value would be given by:

$z_{\alpha/2}=-2.00, z_{1-\alpha/2}=2.00$

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:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

4 0

3 years ago