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nika2105 [10]
3 years ago
7

What are the coordinates of the vertices of the triangle under the translation (x y) (x − 1 y − 3)

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

A: (-9,-3)(-2,-4)(-5,-8)

B: (-5,2)(-1,-3)(3,2)

C: (4,-7)(-1,-3)(4,1)

D: (-1,-11)(-2,-4)(-6,-7)

Step-by-step explanation:

So of the transformations, translations are pretty much the easiest.  x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3.  So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.  

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Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

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This is x for which:

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\frac{1.05 - x}{1.05 - 0.95} = 0.9

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x = 1.05 - 0.9*0.1

x = 0.96

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