We're given the following probabilities:
(a) Yes, 
and 
are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.
(b) Use the definition of conditional probability to expand:
(c) By the law of total probability,
(d) Bayes' theorem says
The answers are 
and 8 · 8 · 8
Explanation:
The volume of a cube or space a cube occupies is calculated by multiplying the length, height, and width. Additionally, because in a cube all sides are equal in length, the formula for volume is V= 
. According to this, if the side length is 8 inches the volume can be represented as 
or V= 8 · 8 · 8 because the symbol · represents multiplication. Also, this can be solved as V = 512 cubic inches. This makes the following options correct: and 8 · 8 · 8.
Look here in a square which is what I imagine that drawing is all the angles are 90 degrees. A rectangle would be knowing two angles is know all of them one way or another so fix your work and you should know the answer
72 m^2 (72 meters squared)
STEP-BY-STEP SOLUTION:
= x^2 - 13x + 30
= x^2 - 10x - 3x + 30
= x ( x - 10 ) - 3 ( x - 10 )
= ( x - 10 ) ( x - 3 )
FINAL ANSWER:
Therefore, the answer is:
C. x - 10
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