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2 answers:
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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
Answer:
x = 5 (check the diagram included)
Step-by-step explanation:
The question is incomplete, I have included a diagram to aid the understanding of the question
Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal
From the attached figure, we have:
|FG| = 3x + 10, |HE| = 7x - 30
To calculate for the value of x that makes the quadrilateral a parallelogram, we have:
Remember the opposite sides of a parallelogram are equal
3x + 10 = 7x - 30
3x - 7x = 10 - 30
-4x = -20
x = 20 ÷ 4
x = <u>5</u>
x = 5 makes the quadrilateral a parallelogram
