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GenaCL600 [577]

3 years ago

13

What is the probability of randomly selecting a four person committee consisting entirely of men from a pool of 11 men and 18 wo

men?

1 answer:

luda_lava [24]3 years ago

3 0

Answer:1) (18/30) * (17/29) * (16/28) = 204/1015 = 0.200985 or about 20.1%

2) (.95) * (.95) * (.95) = (.95)^3 = 0.857375 or about 85.74%

Best of luck in your studies,

~ Mitch ~

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3 years ago

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Answer:

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Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

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$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

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(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

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So n = 67

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2 years ago

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nordsb [41]

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