A bag contains 88 red, 66 orange, and 99 green jellybeans. What is the probability of reaching into the bag and randomly withdrawing 1212 jellybeans such that the number of red ones is 22, the number of orange ones is 44, and the number of green ones is 66? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
P ( 2 R , 4 O , 6 G ) = 0.0261
Step-by-step explanation:
Given:
- Red beans = 8
- Orange beans = 6
- Green beans = 9
Find:
What is the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 4, and the number of green ones is 6?
Solution:
- The question requires the number of selection of 12 jellybeans we can make from total available such that out of those 12 we choose 2 Red, 4 Orange and 6 Green.
- For selection we will use the combinations. So to choose 2 Red from 8; Choose 4 Orange from 6 and 6 green from 9 available. The number of possible outcomes with such condition is:
Outcomes ( 2 R , 4 O , 6 G ) = 8C2 * 6C4 * 9C6
= 28*15*84
= 35280
- The total number of outcomes if we randomly select 12 beans irrespective how many of each color we select from available 23 we have:
Outcomes ( Select 12 from 23 ) = 23C12
= 1352078
- Hence, the probability for the case is given by:
P ( 2 R , 4 O , 6 G ) = Outcomes ( 2 R , 4 O , 6 G ) / Outcomes ( Select 12 from 23 )
P ( 2 R , 4 O , 6 G ) = 35280 / 1352078 = 0.0261
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276.92
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The density (D) of is quotient of mass (m) and volume (V):
It is given:
m = 764.3 g
D = 2.76 g/cm³
V = ?
Since:
⇒
Therefore, the volume of the emerald is 276.92 cm² and your answer is correct.
Answer:
276.92 cubic cm.
Step-by-step explanation:
Given :
A large emerald with a mass of 764.3 grams was recently discovered in a mine.
The density of the emerald is
To Find: what is the volume?
Solution:
Density =
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Hence the volume of large emerald is 276.92 cubic cm.
Answers
A = 200 + 200 + 400 = 800
B = 329.11 + 288.06 + 106.40 rounded to the nearest hundred
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Answer:
800 is greater than 700. Thus, A > B.
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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cross multiply
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Answers
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Answers
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Step-by-step explanation: