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guapka [62]
4 years ago
15

Three workers sort 66 boxes in a day one of the workers is three times more productive than the second worker and twice as produ

ctive as the third worker how many boxes did the second most productive workers sort?
Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
3 0
<span>Let’s assign variables for each workers
Let x = number of boxes sorted by worker 1
Let y = number of boxes sorted by worker 2
Let Z = number of boxes sorted by worker 1

=> X = 3Y
=> X = 2Z
The equation would be:
=> X + Y + Z = 66
=> X + X/3 + X/2 = 66
=> 6X + 2 X + 3 X = 396
=> 11 X = 396
=> 11X / 11 = 396 / 11
=> X = 36

 X = 36
Y = 36 / 3 = 12
Z = 36 / 2 =  18
=> 36 + 12 + 18 = 66

</span>



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Answer:

0.942 is the required probability.  

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P(x \geq 3) = P(x = 3) + P(x = 4) +P(x=5)\\\\= \binom{5}{3}(0.8)^3(1-0.8)^2 +\binom{5}{4}(0.8)^4(1-0.8)^1 +\binom{5}{5}(0.8)^5(1-0.8)^0\\\\= 0.2048 +0.4096+0.3276=0.942

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