Which graph represents (x,y)-pairs that make the equation y = 3x - 2 true?
1 answer:
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The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:
So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious: is the square of
, and
is the square of
So, we can factor the expression as
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms:
Answer:
0.069 = 6.9% probability that he or she will have a heart attack
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Does not have periodontal disease
Event B: Has a heart attack.
Probability of not having a periodontal disease:
100 - 80 = 20% of 10%(had a heart attack).
30% of 100-10 = 90%(did not have a heart attack). So
Intersection of A and B:
Not having the disease, suffering a heart attack, so 20% of 10%.
What is the probability that he or she will have a heart attack?
0.069 = 6.9% probability that he or she will have a heart attack