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forsale [732]
3 years ago
8

Laura drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took hours. When Laura drove h

ome, there was no traffic and the trip only took hours. If her average rate was miles per hour faster on the trip home, how far away does Laura live from the mountains?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0
Well it really doesn't have a numbers to solve it, so I would say 2-3 hours away
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Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their
Andreas93 [3]

Answer:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

Step-by-step explanation:

Information given

X= 48 number of people who rent their home

n= 250 represent the sample size

\hat p =\frac{48}{250}= 0.192 represent the proportion of people who rent their home

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.645

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:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

3 0
3 years ago
What does it mean for a fraction to be in simplest form?
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The area of a square can be tripled by increasing the length and width by 10 inches. What is the original length of the square?
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The only positive solution is l = 5(1+ \sqrt{3} );


5 0
2 years ago
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