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Chapter 16: Problem 51
You reach into a jelly bean bag and grab one bean. If the bag contains 30 red, 25 orange, 15 pink, 10 green, and 5 black beans, the probability that you will get a black bean or a red bean is nearest to a) \(0.6\) b) \(0.5\) c) \(0.4\) d) \(0.3\)
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Find the value of the determinant \(\left[\begin{array}{rrr}3 & 2 & 1 \\ 0 & -1 & -1 \\ 2 & 0 & 2\end{array} \mid\right.\) a) 8 b) 4 d) \(-4\) c) \(-8\)
Resolve \(\frac{2}{x\left(x^{2}-3 x+2\right)}\) into partial fractions. a) \(\frac{1}{x}+\frac{1}{x-2}-\frac{2}{x-1}\) c) \(\frac{1}{x}-\frac{2}{x-2}+\frac{1}{x-1}\) b) \(\frac{1}{x}-\frac{2}{x-2}+\frac{1}{x-1}\) d) \(\frac{1}{x}+\frac{1}{x-2}+\frac{1}{x-1}\)
Where does an inflection point occur for \(y=x^{3}-3 x\) ? a) 2 b) 1 c) 0 d) \(-1\)
Express \(2 \sin ^{2} \theta\) as a function of \(\cos 2 \theta\). a) \(\cos 2 \theta-1\) b) \(\cos 2 \theta+1\) c) \(\cos 2 \theta+2\) d) \(1-\cos 2 \theta\)
A triangle has sides of length 2,3 , and 4 . What angle, in radians, is opposite the side of length 3 ? a) \(0.55\) b) \(0.61\) c) \(0.76\) d) \(0.81\)
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