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olchik [2.2K]
3 years ago
11

What is the solution type for this equation? 4(2x-6)=8x-24

Mathematics
2 answers:
MrMuchimi3 years ago
8 0
The answer turns out to be 0

Agata [3.3K]3 years ago
7 0
<span>4(2x-6)=8x-24
8x - 24 = 8x - 24
0 = 0

answer </span><span>Infinite solutions</span>
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The scale on a map is 3 inches = 40 miles. How far apart are two cities if the distance between them on the map is 6¾ inches?
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90 miles

Step-by-step explanation:

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3 years ago
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she
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Answer:

P(3.25 < \bar X < 4.25)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\sigma_{\bar X}}

And using the z score we have:

P(\frac{3.5-4}{0.3}< Z< \frac{4.25-4}{0.3}) = P(-1.667< Z< 0.833)

And we can use the normal standard distribution table or excel in order to find the probabilities and we got:

P(-1.667< Z< 0.833)= P(Z

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the time it takes her to complete one review, and for this case we know the distribution for X is given by:

X \sim N(4,1.2)  

Where \mu=4 and \sigma=1.2

And we select a sample size of n =16. Since the dsitribution for X is normal then the distribution for the sample mean \bar X is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\sigma_{\bar X}= \frac{1.2}{\sqrt{16}}= 0.3

For this case we want to find this probability:

P(3.25 < \bar X < 4.25)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\sigma_{\bar X}}

And using the z score we have:

P(\frac{3.5-4}{0.3}< Z< \frac{4.25-4}{0.3}) = P(-1.667< Z< 0.833)

And we can use the normal standard distribution table or excel in order to find the probabilities and we got:

P(-1.667< Z< 0.833)= P(Z

The graph illustrating the problem is on the figure attached.

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3 years ago
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Answer:

(using the numbers youve prpvided) 3444544

Step-by-step explanation:

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