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Alexandra [31]
2 years ago
14

Calculate the area of a regular octagon with the side length of 9 feet

Mathematics
1 answer:
ankoles [38]2 years ago
7 0

Answer:

A ≈ 391.1 feet

formula to find the area of an octagon is shown below

area = 2(1 +  \sqrt{2} )a { }^{2}

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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
If 3x + 4y = 5, and x - y = 1, then what is y and x?
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I hope this helps you 4×[x-y=1] 4x-4y=4 3x+4y+4x-4y=5+4 7x=9 x=9/7 9/7-y=1 y=9/7-1 y=2/7
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