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
Answer:
The equation that matches this situation is y = 8.34x + 25 ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (initial value)
The rule of the slope is m = Δy/Δx, where
∵ Lisa collects rainwater in a barrel that weighs 25 pounds
∴ The initial value of the weight is 25 pounds
∴ b = 25
∵ When there are 10 gallons of water in the barrel, the total weight
of the barrel and the water is 108.4 pounds
∴ At x = 10, y = 108.4
∵ When there are 20 gallons of water, the total weight is 191.8 pounds
∴ At x = 20, y = 191.8
→ Find Δx and Δy
∵ Δx = 20 - 10 = 10
∵ Δy = 191.8 - 108.4 = 83.4
→ Substitute them in the rule of the slope above
∴ m =
∴ m = 8.34
→ Substitute the values of m and b in the form of the equation above
∵ y = 8.34x + 25
∴ The equation that matches this situation is y = 8.34x + 25
Answer:
The answer is A.
Step-by-step explanation:
If you add both A and B then you will get 15 because 10 + 5 = 15
The translation is right 5, down 1, AKA (x+5, y-1). The original coordinate of the point given is (-8,-3). Use the same translation so ((-8 + 5), (-3 - 1)) = (-3,-4)