Now, consider a matrix C = 0 1 1 0 . Interpret this matrix as a Markov chain for two states "sunny" and "rainy". What is the long-term dynamic if we start from a "sunny" state?

John makes $10.50 pers hour what expression represens how much he will make if he works h hours

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Janet is rolling a number cube with the numbers one through six she record the numbers after each row if she rolls of keep 48 times how many times should she expect to roll a 4