Find the probability of the event.Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?
A.
B. 3
C.
D.
Answer: A
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Solve the problem.A bird flies from its nest 4 km in the direction 3° north of east, where it stops to rest on a tree. It then flies 7 km in the direction 3° south of west and lands atop a telephone pole. With an xy-coordinate system where the origin is the bird's nest, the x-axis points east, and the y-axis points north, at what point is the telephone pole located?
A. (-2.996, -0.1570) B. (3.995, 0.2093) C. (2.970, 7.494) D. (-6.990, -0.3664)
Provide an appropriate response.A student tried to clear the fractions in +
= 9
+
= 5by multiplying both fractions by zero. Is this an acceptable approach?
Fill in the blank(s) with the appropriate word(s).
Identify the basic feasible solution corresponding to the given simplex tableau. x1 x2 x3 x4 M
A. x1 = 0, x2 = 0, x3 = -1, x4 = 3, M = 136
B. x1 = 12, x2 = 10, x3 = 0, x4 = 0, M = 136
C. x1 = 10, x2 = 12, x3 = 0, x4 = 0, M = 136
D. x1 = 0, x2 = 1, x3 = , x4 = 1, M = 0
Solve the system of linear equations. If the system has infinitely many solutions, describe the solution with an ordered triple in terms of variable z.5x + 2y + z =-112x - 3y - z=177x - y=12
A. (0, -6, 1) B. (-2, 0, -1) C. no solution D. (1, -5, 0)