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strojnjashka [21]
4 years ago
11

A little girl has a 96-pack of crayons. She picks up crayons, at random, to check the color, and she leaves them in a separate p

ile after inspecting the color. She pulls crayons out of the pack until she gets the sea-foam green crayon.
What is the expected number of crayons she will check until she finds sea-foam green?

Mathematics
1 answer:
Crank4 years ago
7 0

Answer:

the solution is given in the attachments

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Answer:

9>x>3

Step-by-step explanation:

the open side always faces the greater value

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Rocco spent 20% of the money

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Please help me if you can it would mean a lot!
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D

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4 years ago
Find sin20 if sin 0 = 3; 90° &lt; 0 &lt; 180°
Alex777 [14]

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\sin 2 \theta = -\dfrac{4\sqrt 5}{9}

Step-by-step explanation:

\text{Given that,}\\\\~~~~~~\sin \theta = \dfrac 23\\\\\implies \sin^2 \theta = \left( \dfrac 23 \right)^2\\\\\implies 1- \cos^2 \theta = \dfrac 49 \\\\\implies \cos^2 \theta = 1 - \dfrac 49 \\\\\implies \cos^2 \theta = \dfrac 59\\\\\implies \cos \theta = \pm\sqrt{\dfrac 59} \\\\\implies \cos \theta = \pm \dfrac{\sqrt 5 }3\\\\\text{Since}~ 90^\circ < \theta < 180^{\circ},~\text{the angle lies in 2nd quadrant}\left(\cos \theta ~\text{is negative}\right).\\\\

\text{So,}~ \cos \theta = - \dfrac{\sqrt 5 }{3}\\\\\text{Now,}\\\\\sin 2\theta = 2\sin \theta \cos \theta \\\\\\~~~~~~~~=2 \cdot \dfrac 23 \cdot \left( -\dfrac{\sqrt 5}{3} \right)\\\\\\~~~~~~~~=-\dfrac{4\sqrt 5}{9}

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