The following model for learning a concept over a set of lessons identifies four states of learning: I = ignorance, E = exploratory thinking, S = superficial understanding and M = mastery. If now in state I, after one lesion you have 50% chance of still being in I and 50% chance of being in E. If now in state E, you have 25% chance of being in I, 50% in E, and 25% in S. If now in state S, you have 25% chance of being in E, 50% in S, and 25% in M. If in M, you always stay in M. (a) Write out the transition matrix for this Markov chain with the absorbing state as the first state. (b) Compute the fundamental matrix N. (c) What is the expected number of rounds until mastery is attained if currently in the state of ignorance?

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step-by-step explanation:

a is the right answer

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right