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Temka [501]
3 years ago
13

The sum of two rational numbers will always be

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

The sum of two rational numbers will always be <u>rational</u>

<u></u>

\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}, therefore it will always be rational

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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  

6 0
3 years ago
How many fluid ounces are there in 8 pints 5 cups?
tankabanditka [31]

Answer is C. 168 fluid ounces

5 0
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Hint: m=7<br> 5m-6=_?__<br> Due: Today
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Answer:

29...

Step-by-step explanation:

1) Fill in

5(7)-6

2) P.E.M.D.A.S

35 - 6

29

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3 years ago
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What is the unit rate of a graph
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When you are looking for a unit rate in a graph you want to know how much the dependent (y) variable will increase by when the independent (x) variable is increased by one
6 0
3 years ago
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An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevatio
Firdavs [7]

Answer:

1035.33 feet

Step-by-step explanation:

h=900tan49

=1035.33 feet

I hope it helps

6 0
3 years ago
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