Solve the problem.A rat is placed at random in one of five compartments in a maze. Compartments 1, 2, and 5 have food; so the rat will remain at any of these once reached. If the rat is placed in compartment 4, what is the expected number of times it will be in compartment 4 before it finds food? Round your answer to the nearest hundredth.12345
A. 1.18
B. 0.21
C. 0.19
D. 1.21
Answer: A
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Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex cube roots of -8i
A. 2(cos 180° + i sin 180°), 2(cos 300° + i sin 300°), 2(cos 60° + i sin 60°) B. 8(cos 90° + i sin 90°), 8(cos 210° + i sin 210°), 8(cos 330° + i sin 330°) C. 512(cos 90° + i sin 90°), 512(cos 210° + i sin 210°), 512(cos 330° + i sin 330°) D. 2(cos 90° + i sin 90°), 2(cos 210° + i sin 210°), 2(cos 330° + i sin 330°)
Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.y = (x - 6)(x - 8)
A. y-axis B. x-axis C. origin D. x-axis, y-axis, origin E. none
Use the fundamental counting principle to count the number of outcomes. A sports shop sold tennis rackets in 3 different weights, 2 types of string, and 4 grip sizes. How many different rackets could they sell?
A. 18 B. 24 C. 20 D. 9
Solve the system of equations.x2 + y2 = 1x + y = -1
A. (0, 1), (-1, 0) B. (0, 1), (1, 0) C. (0, -1), (1, 0) D. (0, -1), (-1, 0)