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2 years ago

Round the number to the indicated place. $13.59562 to cents

Mathematics

1 answer:

Aleks04 [339]2 years ago

7 0

Answer:

look below

Step-by-step explanation:

Lets round the 0.59562 first

0.59562 rounded to the nearest hundreth (because thats how cents go) rounds up to .60

there is 100 cents in a dollar

there is 13 dollars

13 * 100 is 1300

1300 + 60

1360 cents

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Answer:

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2 years ago

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

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 $ME =\pm 0.01$ 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)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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konstantin123 [22]

Answer:

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

x = 12 . . . . . . . . multiply by 12

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Masteriza [31]

<span>Today's age = x

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Answer:
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</span>

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Answer:

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Step-by-step explanation:

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