small juice bottles come in packages of 6. yogurt treats come in packages of 10. paula qanta to have the exact same number of ea
2 answers:
Answer: There will be 5 packages of small juice bottles and 3 packages of yogurt.
Step-by-step explanation:
Number of packages of small juice bottles=6
Number of packages of yogurt = 10
We need to calculate the least number of bottles of juice and individual yogurt treats ,
For this we will find the L.C.M. of 6 and 10 =30
So, number of packages of each package of juice is given by
And number of packages of each package of yogurt is given by
So, there will be 5 packages of small juice bottles and 3 packages of yogurt.
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The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
Learn more about expected return from a game at
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