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SVETLANKA909090 [29]
2 years ago
5

Help me plz.................

Mathematics
2 answers:
Brrunno [24]2 years ago
6 0

Answer:

3/5

Step-by-step explanation:

hope i helped :)

elena55 [62]2 years ago
4 0
The answer would be 3/5
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23. Which equation is equivalent to 3x+ 4y = 15?
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Answer:

y=\frac{15}{4}-\frac{3}{4}x

Step-by-step explanation:

3x+ 4y = 15\\4y=15-3x\\y=\frac{15}{4}-\frac{3}{4}x

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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  

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A triangular window pane has a base of 30 inches and a height of 24 inches.What is the area of the window pane?
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54 or it 180 i got 54 by adding 30 and 24in and got 180 by multiplying

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