SOLUTION: a point with coordinates (x,y) is randomly selected such that 0 <= x <=10 and 0<=y <=10. what is the probability that the coordinates of the point will satisfy 4X + 5Y >=20?

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Question 328834: a point with coordinates (x,y) is randomly selected such that 0 <= x <=10 and 0<=y <=10. what is the probability that the coordinates of the point will satisfy 4X + 5Y >=20?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the feasible region.

The area of the triangle is
At=%281%2F2%29%285%29%284%29=10%29
This area is function the region where 4x%2B5y%3C20.
The area of the square is
As=10%2A10=100
So the probability that a random point will satisfy 4x%2B5y%3E=20 is equal to
P=1-At%2FAs=1-10%2F100=0.9