If A and B are independent, then P(A and B) = P(A) * P(B).
Then the probability that A occurs given that B occurs, for example, reduces to the probability that A occurs by itself:
So all you need to do is check that P(A|B) = P(A). If so, then A and B are independent. This is true only for the second case.
Answer:
the rectangle's width is approximately 3.39 inches
and the length is approximately 13.56 inches.
Step-by-step explanation:
Recall that the area of a rectangle is Length times Width
If we name the length "L" and the width "W", we have:
L * W = 46
Also: "the length is 4 times the width" can be written in math form as:
L = 4 * W
and now we can replace the length L by 4 * W in the formula for the area:
and now we find the value of L:
Therefore, the rectangle's width is approximately 3.39 inches
and the length is approximately 13.56 inches.