What's 0.1x30 and 0.01x30?
2 answers:
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The conditional probability that a Philadelphian who got the flu got a flu shot is of:
0.4375 = 43.75%.
<h3>What is Conditional Probability?</h3>Conditional probability is the probability of one event happening, considering the outcome of a previous event.
The formula is presented as follows:
In which each probability in the formula is described as follows:
- P(B|A) is the probability of the event B happening, given that the event A happened.
is the probability of both the events A and B happening.
- P(A) is the probability of the event A happening.
In the context of this problem, the events are described as follows:
- Event A: Got the flu.
- Event B: Got the flu shot.
The probability of people who got the flu is obtained as follows:
- 2% of 70%. (got the shot).
- 6% of 30%. (did not get the shot).
Hence:
P(A) = 0.02 x 0.7 + 0.06 x 0.3 = 0.032.
The probability of both getting the flu and the shot is:
P(A and B) = 0.02 x 0.7 = 0.014.
Hence the conditional probability that a Philadelphian who got the flu got a flu shot is calculated applying the conditional probability formula as follows:
P(B|A) = P(A and B)/P(A) = 0.014/0.032 = 0.4375 = 43.75%.
More can be learned about conditional probability at brainly.com/question/14398287
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Option fourth "By the addition property of equality, AC² plus AB² = BC multiplied by DC plus AB² is correct.
<h3>What is the Pythagoras theorem?</h3>The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
The figure is missing.
The right-angle triangle is shown in the picture; please refer to the picture.
The missing options are attached; please refer to the picture.
We have a right-angle triangle shown in the picture.
The larger triangle ABC is similar to the smaller triangles as follows.
ΔABC ~ ΔDBA (By AA similarity)
ΔABC ~ ΔDAC (By AA similarity)
From the above similarity:
AC² or AB²
After cross multiplication:
AB² = BC×BD
Now,
AC² = BC×BD
AB² + AC² = BC×BD + BC×BD
AB² + AC² = 2BC×BD
Thus, the option fourth "By the addition property of equality, AC² plus AB² = BC multiplied by DC plus AB² is correct.
Learn more about Pythagoras' theorem here:
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