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igomit [66]
3 years ago
9

Multi step equation and check 12x+3-1=35

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

11/4

Step-by-step explanation:

<em><u>Step 1: Simplify both sides of the equation.</u></em>

12x+3−1=35

12x+3+−1=35

(12x)+(3+−1)=35(Combine Like Terms)

12x+2=35

12x+2=35

<em><u>Step 2: Subtract 2 from both sides.</u></em>

12x+2−2=35−2

12x=33

<em><u>Step 3: Divide both sides by 12.</u></em>

12x / 12 = 33 / 12x =

11 / 4

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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".  

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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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Without the '...' the answer is -5230.

Step-by-step explanation:

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