Question

Geometric Probability Problem

Answer 1

I think you'd want to find the area of the two triangles. First find the area of this one:

Answer 2

Wouldn't it just be 50?

Answer 3

10*10*1/2

Answer 4

Also, what makes you think it is two triangles? @agent0smith

Answer 5

Draw the inequality 2x+5y>10. It'll make a triangle. Since you want > 20 not < 20, you'll have to subtract the area of that triangle from the one with area 50.

Answer 6

Is it not \[2x + 5y \ge 20\]?

Answer 7

Or am I missing something here

Answer 8

It is greater than or equal to, it's just i didn't bother copying the sign, and it's not on my keyboard.

For 2x+5y>20, the line will look like this.

Easiest way to plot that line 2x+5y=20 is to find x and y intercepts. If x=0, 2x>20 so x=10. If y=0, 5y=20 so y=4.

You want the shaded region, but to find that you need to find the area of both triangles.