3 years ago

Which are the solutions to the quadratic equation 4x^2=64?

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

X=4 and x=-4 Your answer would be C.

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A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not

Marizza181 [45]

All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If $x_i$ is the component for state $i$ , then you have

$x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16$

which means $x_2=4x_4=0.64$ . So the state vector is $\mathbf x=(0.2,0.64,0,0.16)$ .