Solve the problem.A twelve-sided die is weighted so that only the numbers 1 through 6 will appear and they will occur with the same probability. What probability should be assigned to each face?
What will be an ideal response?
The faces numbered 1 through 6 will each have the probability ; faces numbered higher than 6 will each have probability 0.
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Make the indicated conversion within metric units of mass.247 grams to kilograms
A. 24,700 kg B. 247,000 kg C. 0.0247 kg D. 0.247 kg
Change to a percent.
A. 5%
B. 66%
C. 51%
D. 511%
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 6x + 6yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 42; at (2, 5) B. Maximum: 60; at (10, 0) C. Maximum: -24; at (4, 0) D. Maximum: 36; at (6, 0)
Graph the linear equation. Give the x- and y-intercepts.2x + y = 2
A. x-intercept: (- 1, 0); y-intercept: (0, 2)
B. x-intercept: (1, 0); y-intercept: (0, 2)
C. x-intercept: (2, 0); y-intercept: (0, 1)
D. x-intercept: (- 1, 0); y-intercept: (0, -2)