Respuesta :

Answer:

[tex]0.02[/tex]

Step-by-step explanation:

we know that

The probability that a point chosen randomly inside the rectangle is in the triangle is equal to divide the area of the triangle by the area of rectangle

Let

x-----> the area of triangle

y----> the area of rectangle

P -----> the probability

[tex]P=x/y[/tex]

Find the area of triangle (x)

[tex]A=(1/2)(5)(2)=5\ in^{2}[/tex]

Find the area of rectangle (y)

[tex]A=18*12=216\ in^{2}[/tex]

Find the probability P

[tex]P=5/216=0.02[/tex]