Answer:
1. 12 inches are in 1 foot, 48 inches of ribbon divided by 12 is 4 feet of ribbon.
2. Since there are 12 inches in 1 foot you multiply by 3 to 12 inches for 36 inches of ribbon.
3. When you're finding inches you need to divide but when you're finding feet you need to multiply.
4. His library card is 80 millimeters and since there are 10 millimeters in 1 centimeter you divide 80 by 10 to get 8 centimeters
5. His key chain is 35 millimeters long.
6. 3 quarts is bigger than 5 pints by 2 cups.
Picture contains the work you should show for questions 5 and 6.
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:
![P(A) = 0.2(0.3) + 0.65(0.7) = 0.515](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.2%280.3%29%20%2B%200.65%280.7%29%20%3D%200.515)
The probability of both having the flu and getting the shot is:
![P(A \cap B) = 0.2(0.3) = 0.06](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.2%280.3%29%20%3D%200.06)
Hence, the conditional probability is:
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20%5Cfrac%7B0.06%7D%7B0.515%7D%20%3D%200.1165)
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:
The plane flew for 3 hours at 105mph and 115mph for 5 hours
Step-by-step explanation:
Answer:
Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.