A card is drawn randomly from a standard 52-card deck. Find the probability of the specified event. The card is a diamond picture card (the jack, queen, or king of diamonds).
A.
B.
C.
D.
Answer: D
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Solve the problem.Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is and the radius of the larger wheel is
Through how many degrees will the larger wheel rotate if the smaller one rotates
A. 61.12° B. 63.22° C. 62.22° D. 61.22°
Solve the problem.The fluctuation in power (in W) in a microlamp was measured five times, and the measured values were 60.10, 59.93, 60.16, 60.03, and 59.82. Find the standard deviation and variance for the data. Round the results to the nearest thousandth.
A. s = 0.271, v = 0.073 B. s = 0.121, v = 0.015 C. s = 0.015, v = 0.001 D. s = 0.224, v = 0.050
Find the product. Write the product in rectangular form, using exact values.[4(cos 150° + i sin 150°)] [6(cos 330° + i sin 330°)]
A. 12 + 12i
B. 24i
C. 24
D. -12 + 12i
Solve the application problem.The length of a room is 3 feet more than the width. The room has a floor area of 180 square feet. Find the dimensions of the room.
A. Length: 18 ft; Width: 15 ft B. Length: 12 ft; Width: 9 ft C. Length: 15 ft; Width: 12 ft D. Length: 16 ft; Width: 13 ft