Answer:
About 2/3 of the animals at the shelter are dogs
Step-by-step explanation:
Let's first transform the mixed number to the corresponding improper fraction.
67 2/3 is equivalent to (3*67 + 2)/3 = 203/3
we are asked to find a fraction equivalent to 203/3%. To do this, we have to divide the fraction by 10, as follows:
203/3% = (203/3)*(1/100) = 203/300 ≈ 2/3
44/9 = 4 remainder 8
so as a mixed number it is 4 and 8/9
Ten times ten equals one hundred, if that's what you are asking for.
Problem 3
Disjoint events are two (or more) events that cannot happen at the same time. An example would be flipping heads and tails at the same time with the same coin. Another example is selecting an ace of spades and selecting an ace of diamonds, when you only select one card.
In general notation, P(A and B) = 0 if and only if A and B are disjoint.
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.3 + 0.1 - 0
<h3>P(A or B) = 0.4</h3>
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Problem 5
Same idea, but different numbers
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 1/3 + 1/4 - 0
P(A or B) = 4/12 + 3/12 - 0
<h3>P(A or B) = 7/12</h3>
