Answer:
The Markov chain is a description of the sequence of possible events in which the probability of an event depends only on the state attained in a previous separate event.
Step-by-step explanation:
The relation described by the Markov chain satisfies the following conditions:
1. All states communicate with themselves, that is P₁₁⁰ = 1 ≥ 0
2. There must be symmetry: if i←→j, then j ←→i
3. There must be transitivity. That is if i ←→k and k←→j, then i←→j
The conditions above imply that the communication is an example of an equivalence relation, meaning that it shares the properties with the more familiar relation, that is
i = i , if i = j ,then j = i etc
You would need two different lines to complete this as lines cannot be both parallel and perpendicular (these are opposites). The answers would be:
Parallel: x = 2
Perpendicular: y = -2
In order to find these, we first need to see that the original line of x = -1 is a horizontal line. Therefore, any line that is parallel should be horizontal as well. To get a horizontal line through the point (2, -2), the only option is x = 2.
Similarly, with the perpendicular line, if the original line is horizontal, the new line must be vertical. The only vertical line that goes through (2, -2) is y = -2.
Answer:
Since it has smaller absolute and relative errors, 355/113 is a better aproximation for 
than 22/7
Step-by-step explanation:
The formula for the absolute error is:
Absolute error = |Actual Value - Measured Value|
The formula for the relative error is:
Relative error = |Absolute error/Actual value|
I am going to consider the actual value of as 3.14159265359.
In the case of 22/7:
22/7 = 3.14285714286.
Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927
Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%
In the case of 355/113
355/113 = 3.14159292035
Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676
Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%
Since it has smaller absolute and relative errors, 355/113 is a better aproximation for than 22/7
Answer:
C is the answer
g(x) = x² - 10 x + 29
Step-by-step explanation:
g(x) = (x -5)² + 4
= x² - 10 x +25 +4
= x² - 10 x + 29
∴ g(x) = x² - 10 x + 29
