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Lina20 [59]
3 years ago
15

Evaluate the following expression if a = 9, b = 3, and c = 13 ac ÷ (2b)

Mathematics
2 answers:
dsp733 years ago
8 0
19.5 because 117/6 is equal to 19.5 have a nice day
mihalych1998 [28]3 years ago
6 0

Answer:

19.5

Step-by-step explanation:

9 * 13 = 117, 2b = 6, so 117/6 = 19.5

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The slope is 2.

Step-by-step explanation:

1. To find the slope between 2 points, always use:

\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}}

2. Plug in the coordinates:

\frac{-6 + 2}{-8 + 6}

3. Simplify:

\frac{-4}{-2} = 2

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Predicting the next item in a pattern is an example of inductive reasoning? True or false
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Fifteen tickets cost $193.75. What is the average cost of each ticket?
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Step-by-step explanation:

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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

8 0
3 years ago
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