You'll find the attached formulas quite helpful.
The distance in between your given points is 11.4.
Answer:
0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
![P(B|A) = \frac{P(A \cap B)}{P(A)}](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)
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.
The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.
This means that ![P(A) = 0.8, P(B) = 0.6](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.8%2C%20P%28B%29%20%3D%200.6)
The probability that at least one part works for one year is 0.9.
This means that: ![P(A \cup B) = 0.9](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%200.9)
We also have that:
![P(A \cup B) = P(A) + P(B) - P(A \cap B)](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccap%20B%29)
So
![0.9 = 0.8+0.6 - P(A \cap B)](https://tex.z-dn.net/?f=0.9%20%3D%200.8%2B0.6%20-%20P%28A%20%5Ccap%20B%29)
![P(A \cap B) = 0.5](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.5)
Calculate the probability that part B works for one year, given that part A works for one year.
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625](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%7B0.5%7D%7B0.8%7D%20%3D%200.625)
0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Answer:
the scale factor is 1=2
Step-by-step explanation:
Answer:
D. 135°
Step-by-step explanation:
Time is 1:30
The minute hand traveled half of full circle
The minute hand position is:
The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle
The hour hand position is:
the difference between the hands:
Choice D. 135° is the correct one