First, you have to do some factorization
60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}
the GCF is 12
now we find the number that you multiply by 12 to get 60 and another number to get 72.
12 x 5 = 60
12 x 6 = 72
now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)
P(A) = 0.993 is the probability of event A
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P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)
Then, use the fact that the probability of A plus the probability not A is equal to 1:
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=> P(A) + P(A) = 1
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=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007
So, the answers are:
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1) P(A) = 0.07
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2) Yes, A is unlikely because its probability is very low.
Given two points: (x₁,y₁) and (x₂,y₂) the slope "m" will be:
m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)
In this case:
(4.5 , 13.5)
(-3.5 , -9)
m=(-9-13.5) / (-3.5-4.5)=-22.5 / -8=2.8125
Answer: the slope will be m=2.8125.
