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Andrew [12]
3 years ago
12

The sum of two numbers is five times their difference. If one number exceeds the other by 7, find the numbers.

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0
Hello here is a solution : 

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What is the distance between (2,7) and(4,2)
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d =  \sqrt{ ({2 - 4})^{2} +  ({7 - 2})^{2}  }

d =  \sqrt{ ({ - 2})^{2} +  ({5})^{2}  }

d =  \sqrt{4 + 25}

d =  \sqrt{29}

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4 0
2 years ago
If a light bulb manufacturing company wants to​ estimate, with 99​% ​confidence, the mean life of compact fluorescent light bulb
Reptile [31]

Answer:

We need at least 217 compact fluorescent light bulbs

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many compact fluorescent light bulbs need to be​ selected?

We need at least n bulbs, in which n is found when M = 175, \sigma = 1000

So

M = z*\frac{\sigma}{\sqrt{n}}

175 = 2.575*\frac{1000}{\sqrt{n}}

175\sqrt{n} = 2575

\sqrt{n} = \frac{2575}{175}

\sqrt{n} = 14.71

\sqrt{n}^{2} = (14.71)^{2}

n = 216.5

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