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nika2105 [10]
3 years ago
14

The points A(-3,6), B(8,6), C(8,-4)and D(-3,-4)are vertices of rectangle ABCD. A point is selected at random from the interior o

f this rectangle. What is the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive?
Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

the probability that the x-coordinate of the point is negative and the y-coordinate of the point is positive  is 16.36%

Step-by-step explanation:

Assuming that each point has the same probability to be chosen  ( uniform probability distribution in the rectangle area ) then the probability of choosing a negative x-coordinate and positive y-coordinate is the ratio of the area with those requirements over the total area of the rectangle.

therefore

Ar= area of negative x-values and positive y-values = (-3)*6 = 18

AT= total area of the rectangle = [8-(-3) ]*[6-(-4)] = 110

then

probability = Ar/AT = 18/110 = 0.1636 = 16.36%

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A company has two manufacturing plants with daily production levels of 5x + 11 items and 2x - 3 items, respectively. The first p
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3x + 14 items

Step-by-step explanation:

First plant produces 5x + 11 items

Second plant produces 2x - 3 items

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Is 21,063 divisible by three? If it is, write a number as a product of three and another factor if not, explain
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On a map,1 in. represents 12 mi. Two cities are 6 1/2 in. on a map. How far apart are the actual cities? A. 78 mi B. 72 1/2 mi C
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1 inch= 12 miles


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Hope this helps! :)
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2 years ago
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