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Oksi-84 [34.3K]
2 years ago
15

Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.

Mathematics
2 answers:
AnnyKZ [126]2 years ago
8 0

Answer:

7\sqrt{2} to the nearest tenth would be, 9.9

Step-by-step explanation:

Use distance formula:

(-3-4)^2 + (8-1)^2 all under square root.

49 + 49

\sqrt{98\\

Which simplifies to 7\sqrt{2\\}

Hope this helps,

Feel free to mark this brainliest! :)

Leokris [45]2 years ago
4 0

the answer is 5.099 rounded too 5.1

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Answer:

0.0066

Step-by-step explanation:

Given that:

Mean \mu = 75

Variance \sigma^2 =961

The standard deviation \sigma =  \sqrt{961} = 31

The sample size n = 100

\mu = \mu_{\overline x} = 75

\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}

\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}

\sigma _{\overline x} = \dfrac{31 }{10}}

\sigma _{\overline x} = 3.1

P(\overline x > 83.7) = 1 - P( \overline x < 83.7)

P(\overline x > 83.7) = 1 -P\bigg (  \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)

P(\overline x > 83.7) = 1 -P\bigg (  Z< \dfrac{7.7}{3.1} \bigg)

P(\overline x > 83.7) = 1 -P (  Z< 2.48)

Using the Z table;

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A woman 38 years old has a daughter 14 years old. How many years ago was the woman 8 times older than the daughter?
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