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3 years ago

8

Airline fares for a flight from dallas to austin are $30 for first class and $25 for tourist class. If a flight had 52 passenger

s who paid $1360, how many first class and tourist class passengers were there?

1 answer:

Georgia [21]3 years ago

5 0

22 people were for the first class just divided 1360 and 30

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kramer

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2 years ago

How do we find 4and1/4 hours after 11:20pm?

tigry1 [53]

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3 years ago

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3 years ago

We guess, based on historical data, that 30% of graduating high-school seniors in a large city will have completed a first-year

Annette [7]

Answer:

$n=\frac{0.3(1-0.3)}{(\frac{0.025}{1.96})^2}=1290.78$

And rounded up we have that n=1291

Step-by-step explanation:

1) 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

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) 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 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 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 $ME =\pm 0.025$ 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)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.3(1-0.3)}{(\frac{0.025}{1.96})^2}=1290.78$

And rounded up we have that n=1291

4 0

3 years ago

If y varies directly as x, and y=8 when x=5, find y when x=10

Sophie [7]

You have to set it up as a ratio 8/5 = y/10, then you have to cross mutliply and divide. So 8×10=80 and 80/5= 16 so y=16.

5 0

3 years ago