Helen and Patty both belong to a club of 25 members. A committee of 5 is to be selected at random from the 25 members. Find the probability that both Helen and Patty will be selected. Round your answer to 2 decimal places.
A) 0.04
B) 0.00
C) 0.63
D) 0.03
E) 0.64
D) 0.03
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Find . Write the answer in polar form with the argument between 0° and 360°z1 = 10(cos 45° + i sin 45°), z2 = 5(cos 15° + i sin 15°)
A. 2(cos 30° + i sin 30°)
B. 2(cos 45° + i sin 45°)
C. (cos 45° + i sin 45°)
D. (cos 30° + i sin 30°)
Suppose three center cubes are removed from a large 3 x 3 cube and the resulting figure is dipped in red paint. How many cubes have red paint on 1 face? 2 faces? 3 faces? 4 faces? 5 faces? 6 faces? Explain.
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.4 log2 (4x + 2) + 2 log2 (3x - 7)
A. 8 log2 (4x + 2)(3x - 7)
B. log2 ((4x + 2)4 + (3x - 7)2)
C. log2 (4x + 2)4(3x - 7)2
D. log2
Evaluate the expression for the given values. Expression your answer as a fraction unless otherwise indicated. + y2 x = 5, y = 9
A.
B.
C.
D. 34