Step-by-step explanation:
35.40 ÷12 = 2.95 per pound
44.25 ÷ 2.95 = 15.15 pounds
Answer:
the first answer choice
Step-by-step explanation:
have a great day :D
![f(x) = 2 {x}^{3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%20%7Bx%7D%5E%7B3%7D%20)
![f(2) = 2 \times {2}^{3} = 2 \times 8 = 16](https://tex.z-dn.net/?f=f%282%29%20%3D%202%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20%3D%202%20%5Ctimes%208%20%3D%2016%20)
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![g(x) = x - 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%20-%203)
![g(4) = 4 - 3 = 1](https://tex.z-dn.net/?f=g%284%29%20%3D%204%20-%203%20%3D%201)
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![(f + g)(x) = f(x) + g(x)](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29%20)
![(f + g)(x) = 2 {x}^{3} + x - 3](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%202%20%7Bx%7D%5E%7B3%7D%20%2B%20x%20-%203%20)
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Done...♥️♥️♥️♥️♥️
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
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: positive test.
- Event B: HIV positive.
The percentages involving a positive test are:
- 95% of 3%(positive)
- 4% of 100 - 3 = 97%(not positive).
Hence:
![P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.95%280.03%29%20%2B%200.04%280.97%29%20%3D%200.0673)
The probability of both having a positive test and being HIV positive is:
![P(A \cap B) = 0.95(0.03)](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.95%280.03%29)
Then, the conditional probability is:
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235](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%7B0.95%280.03%29%7D%7B0.0673%7D%20%3D%200.4235)
0.4235 = 42.35% probability that the patient really is HIV positive.
A similar problem is given at brainly.com/question/14398287
After Sally had given 1/9 of her stamps to Andy, she had 280 stamps (since they now have equal shares). So 280 was 8/9 of what she started with, making the 1/9 she handed over equal to 280/8, that’s 35. And Andy was “under” by the same amount she was “over” an equal share, that’s 35 under matching her 35 over, which is 70 altogether.
By all means use algebra but you may find you can reason a word problem through in words.