Answer:

Step-by-step explanation:
Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

Finally, we see that the probability of all three balls landing in the same bucket is 
Answer:
846.06 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,

Put x = 22.87 in equation (1). So,

So, the maximum profit is 846.06 units.
Principal clements needs to buy 10 packages
<em><u>Solution:</u></em>
Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school
The pencils come in packages of 6
Therefore,
Total number of students = 57
<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>
<em><u></u></em>
<em><u>Substituting the given values we get,</u></em>

Thus principal clements needs to buy 10 packages
Answer:
Step-by-step explanation:
Given that a company fixed costs are 400 dollars
and variable cost =
per unit and x the no of units produced
Selling price =
per unit
a) Break even units
At break even units selling price = variable cost

Break even units = 76
b) Revenue = Sales - total costs
= 
Use derivative test to get max revenue
R'(x) = 
R"(X) <0
So maximum when I derivative =0 or when

x=38
c) price when x =38 is
