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Zigmanuir [339]
3 years ago
5

Find the distance between the points (-2, -4) and (-6, -8). Round your answer to to the nearest tenth.

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

d=5.7

Step-by-step explanation:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

d=\sqrt{-6(-2)^{2}+(-8-(-4)^{2}  }

d=\sqrt{(-6+2){^{2}+(-8+4)^{2}  } }

d=\sqrt{(-4)^{2}+(-4)^{2}  }

d=\sqrt{16+16}

d=\sqrt{32}

d=5.656 =5.7

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Answer:

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And we can find this probability with the following difference:

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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 number of gallons of a population, and for this case we know the distribution for X is given by:

X \sim N(47.5,3.5)  

Where \mu=47.5 and \sigma=3.5

We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(45

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P(-0.714

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P(-0.714

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