Answer:
5 can go into 20 numbers between 1-100 and 8 can go into 12 numbers between 1-100
So, 32
Answer:
- <u><em>P = 0.40x + 0.50y</em></u>
Explanation:
The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.
In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.
Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.
Then:
- using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and
- using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.
The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:
That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.
Answer: The required probability is 9.09%.
Step-by-step explanation: Given that a jar contains 6 blue, 4 red, and 2 green marbles.
We are to find the probability that three blue marbles are drawn with out replacement.
Total number of marbles = 6 + 4 + 2 = 12.
After drawing one blue marble, we are left with total 11 marbles. And after drawing the second blue marble, we are left with total 10 marbles.
Therefore, the probability of drawing three blue marbles without replacement is given by
Thus, the required probability is 9.09%.
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