Make a markov chain model for a rat wandering througl1 tl1e following maze if, at the end of each period, the rat is equally l~kely to leave its current room through any of the doorways. the center room i an absorbing state. (it never stays in the same room.)

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

i believe that the slope of the line is -5

step-by-step explanation: