document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #235584 by Fombitz(32388) $\"\"$ $\"About$

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