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If two lines l and m have equations y = -x + 6, and y = -2x + 6, what is the probability that a point randomly selected in the 1st quadrant and below l will fall between l and m? Express your answer as a decimal to the nearest hundredth.

 Mar 31, 2021
 #1
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Look  at the graph here  : https://www.desmos.com/calculator/gsz05uir66

 

Line  "l"  forms  a  triangle   with a base of  6  and a  height of 6.....its  area = (6 *6) / 2  =  18

 

The  area  between  these lines  forms a  triangle  with a base of 3  and a  height of 6....its  area  = (3 * 6)  /2  = 9

 

The probability  that a selected point  falls between  the lines =  9/ 18  =  1/2  =  .50

 

cool cool cool

 Mar 31, 2021

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