Larry can only work 35 hours per week because he is part-time and that is the max allowed by his workplace. In the next15 weeks
1 answer:
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Answer:
Remainder= 5, and the binomial is not a factor of the given polynomial.
Step-by-step explanation:
Given polynomial is , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.
Remainder theorem says if is a factor then remiander would be
Therefore for
Thus the remainder is 5 and since it is not 0 , so the binomial is not a factor of the given polynomial.
Answer:
Sam worked hours that day (fractional answer)
Step-by-step explanation:
The total number of hours Sam worked is the sum of all the three hours given.
Let's add the first 2 using LCM and then add that result with the last.
Firstly:
Now,
The hours worked by Sam is 41/30 hours (fractional answer).
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.
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