Answer:
Vertex - (2,1)
minimum
Step-by-step explanation:
minimum y≥1
Answer:
∠ U = 60°
Step-by-step explanation:
The tangent- tangent angle U is half the difference of its intercepted arcs
minor arc VT = 120° , then
major arc VT = 360° - 120° = 240°
Then
∠ U =
(240 - 120)° =
× 120° = 60°
Answer:
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:
![P(A \cap B) = P(A) *P(B)](https://tex.z-dn.net/?f=%20P%28A%20%5Ccap%20B%29%20%3D%20P%28A%29%20%2AP%28B%29)
For this case we have that:
![P(A) *P(B) = 0.01*0.02= 0.0002](https://tex.z-dn.net/?f=%20P%28A%29%20%2AP%28B%29%20%3D%200.01%2A0.02%3D%200.0002)
And we see that ![0.0002 \neq P(A \cap B)](https://tex.z-dn.net/?f=%200.0002%20%5Cneq%20P%28A%20%5Ccap%20B%29)
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Step-by-step explanation:
For this case we can define the following events:
A= In a certain computer a memory failure
B= In a certain computer a hard disk failure
We have the probability for the two events given on this case:
![P(A) = 0.01 , P(B) = 0.02](https://tex.z-dn.net/?f=%20P%28A%29%20%3D%200.01%20%2C%20P%28B%29%20%3D%200.02)
We also know the probability that the memory and the hard drive fail simultaneously given by:
![P(A \cap B) = 0.0014](https://tex.z-dn.net/?f=%20P%28A%20%5Ccap%20B%29%20%3D%200.0014)
And we want to check if the two events are independent.
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:
![P(A \cap B) = P(A) *P(B)](https://tex.z-dn.net/?f=%20P%28A%20%5Ccap%20B%29%20%3D%20P%28A%29%20%2AP%28B%29)
For this case we have that:
![P(A) *P(B) = 0.01*0.02= 0.0002](https://tex.z-dn.net/?f=%20P%28A%29%20%2AP%28B%29%20%3D%200.01%2A0.02%3D%200.0002)
And we see that ![0.0002 \neq P(A \cap B)](https://tex.z-dn.net/?f=%200.0002%20%5Cneq%20P%28A%20%5Ccap%20B%29)
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Answer:
a) 47
b) 3
c) 1
d) 2
e) 47
f) 3
Step-by-step explanation:
read the textbook