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zloy xaker [14]
4 years ago
15

Please help solve the equation:2x + 1-x/4 = 3

Mathematics
2 answers:
azamat4 years ago
8 0

Answer: 8/7

Step-by-step explanation:

maria [59]4 years ago
4 0
Your answer is 8/7 have a great day
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Step-by-step explanation:

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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)

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3 years ago
A car salesperson’s monthly salary is calculated by a base salary of $1600 per month plus $500 for each car sold. Graph the line
katrin2010 [14]

Answer: Ok so when he starts with one month he has $1600 each month and add $500x for example for the second month add another $1600 and $500x and so on the x stands for however many cars he sold that day

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