This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165
Answers
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
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] 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:
[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]
The probability of both having the flu and getting the shot is:
[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]
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 https://brainly.com/question/14398287
Answer:
flu shot
flu
no flu
.30
.20
Step-by-step explanation:
trust
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A pair of shoes sell for $75 from the manufacturing company. If the store sells the shoes for $150 dollars what is the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store?
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Answers
The mark-up (percent increase) of the price of the shoe from the manufacturing company to the store is 100%.
Given the following data:
Cost price = $75 Selling price = $150To determine the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store:
First of all, we would determine the increase in price of this shoe:
[tex]Increase = selling\;price -cost\;price\\\\Increase = 150-75[/tex]
Increase = $75
For mark-up (percent increase):
[tex]Mark\;up = \frac{Increase}{Cost\;price} \times 100\\\\Mark\;up = \frac{75}{75} \times 100[/tex]
Mark-up = 100%
Read more on mark-up here: https://brainly.com/question/25790940
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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1.1 Pull out like factors :
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i hope this helps
Answer:
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Answers
Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
Answer:
the total surface area of this triangular prism is 976cm2
Answer:
i think TSA = 976 cm²
Step-by-step explanation:
TSA = 2(1/2×14×24) + (14+25+25)×10
TSA = 2(7×24)+(64×10)
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TSA = 976 cm²
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$6.14
$7.00
$8.00
$9.63
Answers
Answer:
$7.00
Step-by-step explanation:
$86+$12=$98
$98÷14=7
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Judah’s hourly wage was $7.