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Andrews [41]
3 years ago
8

Simplify algebraic fraction

Mathematics
1 answer:
Julli [10]3 years ago
3 0
You can get common denominator in the denominator of the original fraction so it would look like:
\frac{4}{ \frac{1}{4}- \frac{10}{4} } = - \frac{1}{ \frac{9}{4} }

You can reciprocalize and then multiply:
4* -\frac{4}{9} =  -\frac{16}{9}

So, your answer is C.
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Answer:

No solution

Step-by-step explanation:

Combine like terms on the right hand side of equation

3x + 2 = 3x -1

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iragen [17]

Answer:

0.1375 to 0.3624

Step-by-step explanation:

Given :The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the slow speed of the service.

To Find :Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service.

Solution:

n = 227

x = 57

Formula of confidence for proportion: \widecap{p}-z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}} to  \widecap{p}+z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}

\widecap{p}=\frac{x}{n}

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\widecap{q}=1-\widecap{p}

\widecap{q}=1-0.25

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z at 95% is 1.96

Substitute the values in the formula :

Confidence for proportion: 0.25-1.96\sqrt{\frac{0.25 \times 0.75}{57}} to 0.25+1.96\sqrt{\frac{0.25 \times 0.75}{57}}

Confidence for proportion: 0.1375 to 0.3624

Hence 95% confidence interval for the proportion of complaints that were about the slow speed of the service is  0.1375 to 0.3624

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Then multiply this result by 100%:  35%

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