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Nuetrik [128]
3 years ago
6

Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calcul

ate the coordinates for point B?
5 = square root of the quantity of x minus 6 all squared plus y minus 5 all squared
5 = square root of the quantity of x minus 5 all squared plus y minus 6 all squared
5 = square root of the quantity of x plus 6 all squared plus y plus 5 all squared
5 = square root of the quantity of x plus 5 all squared plus y plus 6 all squared
Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

The distance between (x1, y1) and (x2, y2) is found using the Pythagorean theorem. It is ...

\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For your values of (x1, y1) = (6, 5) and d = 5, substituting into the formula gives

\displaystyle 5=\sqrt{(x-6)^2+(y-5)^2}

This matches the first selection.

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Answer: 2.308 .

Step-by-step explanation:

Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.

Given: \mu=17.6

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i.e. P(X\geq15)=0.87

\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\  \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}]

Z-value corresponding to p-value 0.87 is -1.1263 .

So, \dfrac{-2.6}{\sigma}=-1.1263

\sigma= \dfrac{-2.6}{-1.1263}\approx2.308

Hence, the required standard deviation = 2.308 .

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He would have $750 at the end of three weeks

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Hope this helped :)
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