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brilliants [131]
3 years ago
5

25-foot long board is to be cut into two parts. The longer part is one foot more than twice the shorter part. How long is each p

art?
Mathematics
1 answer:
lana [24]3 years ago
6 0
To solve this problem you must apply the following proccedure:

 1. You have that <span>25-foot long board is to be cut into two parts. Then, the first equation is:

 a+b=25

 2. </span><span>The longer part is one foot more than twice the shorter part:

 a=1+2b

 3. The system of equation is:

 a+b=25
 a=1+2b

 4. When you solve it, you obtain:

 a=25-b

 25-b=1+2b
 25-1=2b+b
 24/3=b
 b=8 ft

 a=1+2(8)
 a=17 ft
</span>
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igor_vitrenko [27]
<h3>Answer: Choice B</h3>

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Explanation:

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The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

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Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

8 0
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Our greatest common factor, or GCF, is -5x^{2}, so when we factor is out, our divide each term by -5x^{2}, we get our answer. To check this, we can multiply the -5x^{2} back across the parenthesis and see if we get the same result as our initial question.

Hope this helped! :))
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