4 years ago

Place a dot on the number line at the best approximation. √6

Mathematics

2 answers:

Mumz [18]4 years ago

3 0

Square root of 6 is 2.44 so place the dot at the the 2.4 place.

kolezko [41]4 years ago

3 0

the answer is 2.44 so place the dot on 2.4

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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

GREYUIT [131]

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 $\mathbf x=(0.2,0.64,0,0.16)$ .