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serg [7]
3 years ago
5

Julian and Stacy needed 10 liters of water to fill a tank. Stacy filed the tank with 3 11/ 12 liters of water. Julian poured 1 2

/ 5 liters less than Stacy into the tank. how much more water is still needed to fill the tank?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0
7 29/60 liters of water
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Let P = 0.50.30.50.7 be the transition matrix for a Markov chain with two states. Let x0 = 0.50.5 be the initial state vector fo
pav-90 [236]

Answer:

Probability distribution vector = \left(\begin{array}{c}0.375\\ 0.625 \end{array} \right)

Step-By-Step Explanation

If P=\left(\begin{array}{cc}0.5&0.3\\ 0.5&0.7 \end{array} \right)  is the transition matrix for a Markov chain with two states.  

x_{0}=\left(\begin{array}{c}0.5\\ 0.5 \end{array} \right)  be the initial state vector for the population.

X_{1}=P x_{0}=\left(\begin{array}{cc}0.5&0.3\\ 0.5&0.7 \end{array} \right) \left(\begin{array}{c}0.5\\ 0.5 \end{array} \right) =\left(\begin{array}{c}0.4\\ 0.6 \end{array} \right)  

X_{2}=P^{2} x_{0}=\left(\begin{array}{c}0.38\\ 0.62 \end{array} \right)  

X_{3}=P^{3} x_{0}=\left(\begin{array}{c}0.38\\ 0.62 \end{array} \right)  

X_{30}=P^{30} x_{0}=\left(\begin{array}{c}0.37499\\ 0.625 \end{array} \right)  

In the long run, the probability distribution vector Xm approaches the probability distribution vector \left(\begin{array}{c}0.375\\ 0.625 \end{array} \right) .

This is called the steady-state (or limiting,) distribution vector.

4 0
3 years ago
Nancy has 62 more erasers than Barbara. Barbara has ferasers. Write the expression that
Anna11 [10]

Answer:

F+63= The amount of erasers Nancy has

4 0
3 years ago
Which of the following sets represents the range of the diagram below
dmitriy555 [2]

Answer:

C. {2, 4, 5}

Step-by-step explanation:

We are given a function mapping.

The first diagram represents the domain and the second one represents the range.

The set of all range = {2, 4, 5}

Answer: C. {2, 4, 5}

Hope you will understand the concept.

Thank you.

3 0
3 years ago
I need help with my math
Blizzard [7]

Answer:

4/9

Step-by-step explanation:

8 0
3 years ago
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Frank is 4 times as old as Lin. The difference in their ages is equal to Lin’s age plus 8. How old is each?
Minchanka [31]
Let Lin be x years old.
Lin = x
Frank = 4x

<span>The difference in their ages is equal to Lin’s age plus 8
</span>⇒4x - x= x + 8

Solve x:
4x - x= x + 8

Combine like terms:
3x = x + 8

Take away x from both sides:
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Divide by 2 on both sides:
x = 4

Lin is 4 years old.
Frank is 4 x 4 = 16 years old.

Answer: Lin is 4 years old and Frank is 16 years old.
7 0
3 years ago
Read 2 more answers
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