The area of a rectangular patio is 384 square feet.
The width of the patio is 2/3 its length. What are the dimensions of the patio?

the ratio of the length and width = 3:2

Step-by-step explanation:

let the length be =x

width be =

area of a rectangle = length X width

so, x X = 384

or, X 2/3 = 384

or, = (384 X 3)/2

= 576

or, x = 24 ( taking square root)

hence, length is 24

width is = 24 X (2/3)

=16

so the ratio of length and width = 24 : 16

= 3:2

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0