Write the sample space for the experiment. A coin is tossed, and then a die is rolled.
A. S = {(1, heads), (2, heads), (3, heads), (4, heads), (5, heads), (6, heads), (1, tails), (2, tails), (3, tails), (5, tails), (6, tails)}
B. S = {(heads, 1), (heads, 2), (heads, 3), (heads, 4), (heads, 5), (heads, 6), (tails, 1), (tails, 2), (tails, 3), (tails, 4), (tails, 5), (tails, 6)}
C. S = {(heads, tails, 1, 2, 3, 4, 5, 6)}
D. S = {(2, 6)}
Answer: B
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A. - j +
k
B. - j +
k
C. i -
j +
k
D. i -
j +
k
Sketch the graph of the polar equation. Identify the curve.r = 2 cos ?
A. circle
B. circle
C. circle
D. circle
Solve.A rectangular box with volume 468 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base in feet. Express the cost of the box as a function of x and then graph this function. From the graph find the value of x, to the nearest hundredth of a foot, which will minimize the cost of the box.
A. 8.44 feet B. 8.63 feet C. 8.55 feet D. 7.92 feet
Solve.A plane flying with a tailwind flew at a speed of 420 mph, relative to the ground. When flying against the tailwind, it flew at a speed of 310 mph. Graph the system to find the speed of the plane in calm air and the speed of the tailwind.
A. Speed of plane: 375 mph Speed of tailwind: 45 mph B. Speed of plane: 45 mph Speed of tailwind: 375 mph C. Speed of plane: 55 mph Speed of tailwind: 365 mph D. Speed of plane: 365 mph Speed of tailwind: 55 mph