a. By definition of conditional probability,
P(C | D) = P(C and D) / P(D) ==> P(C and D) = 0.3
b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.
c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.
d. Using the inclusion/exclusion principle, we have
P(C or D) = P(C) + P(D) - P(C and D) ==> P(C or D) = 0.6
e. Using the definition of conditional probability again, we have
P(D | C) = P(C and D) / P(C) ==> P(D | C) = 0.75
Answer:
3 hours
Step-by-step explanation:
36 divided by 12 equals 3
If you have a graphing calculator one way to know you are right is put the left side in Y1 and the right side in Y2 then hit 2nd trace and intersection then find the intersection and the X value is your answer. If you don't have a graphing calculator then I'm sorry
The Length of the rectangle is 18 unit.
<h3>
What is the Perimeter of a Rectangle?</h3>
Perimeter of rectangle = 2(length + width)
Given the following:
Let x represent the width of the rectangle
Width of the rectangle = x
Length of the rectangle = 4x + 6
Perimeter of rectangle = 42 units
Therefore, we would write the following equation to find x based on the formula for finding the perimeter of a rectangle:
2(4x + 6 + x) = 42
2(5x + 6) = 42
10x + 12 = 42
10x = 42 - 12
10x = 30
10x/10 = 30/10
x = 3
The width (x) = 3.
Length of the rectangle = 4(3) + 6
Length of the rectangle = 18 unit.
Learn more about perimeter of rectangle on:
brainly.com/question/24571594
#SPJ1
Answer: x=8
How: 41 the triangles are mirrored, so they have the same angles. You are trying to find the bottom angle of the top triangle, which is the same as the top angle of the bottom triangle since they are mirrored. So, (5x+1) is equal to 41. 41-1 =40. 40/5=8. Boom.
