Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
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 problem:
- Event A: Person has the flu.
- Event B: Person got the flu shot.
The percentages associated with getting the flu are:
- 20% of 30%(got the shot).
- 65% of 70%(did not get the shot).
Hence:

The probability of both having the flu and getting the shot is:

Hence, the conditional probability is:

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
To learn more about conditional probability, you can take a look at brainly.com/question/14398287
Answer: Segment GD is parallel to segment HC.
Step-by-step explanation:
In ΔAHC
AG=GH (given)...........1
As BD is the median of ΔABC bisecting AC at D
∴AD=DC.........2
⇒
(from 1 and 2)
⇒segment GD is dividing the sides AH and AC in same ratio.
Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.
Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Answer: 50 degrees
You cut the arc measure 100 degrees in half. This is using the inscribed angle theorem. The angle 'a' is the inscribed angle that cuts off this 100 degree arc.
Use the FOIL method
First, Outside, Inside, Last
(2x -5)(x + 3)
2x(x) = 2x²
2x(3) = 6x
-5(x) = -5x
-5(3) = -15
2x² + 6x - 5x - 15
simplify
2x² + 6x - 5x - 15
2x² + x - 15
2x² + x - 15 is your answer
hope this helps