Summing all the ingredients to get the total sample size, we applied the formula for obtaining the probability which is
Pr(3) = 0.5
<h3>Probability</h3>
Given Data
Sample Space
Total Sample size = 6
Probability of identifying 3 ingredient used is
Pr(3) = 3/6
Pr(3) = 1/2
Hence the Probability is 0.5
Learn more about probability here:
brainly.com/question/25870256
Answer:
Widgets should be sold by $38.88 to maximize the profit.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .
In this question:
The profit is given by:
Which is a quadratic function with
The maximum profit happens at the x of the vertex. Thus
Widgets should be sold by $38.88 to maximize the profit.
Q in (-oo:+oo)
2/3 = (1/3)*q // - (1/3)*q
2/3-((1/3)*q) = 0
ddddddddd
d d
d d
(-1/3)*q+2/3 = 0 d d
d d
2/3-1/3*q = 0 // - 2/3 d d
d d
-1/3*q = -2/3 // : -1/3 d d
d d
q = -2/3/(-1/3) ddddddd dddddddd
dd dd
q = 2 dd dd
dd dddd dd
q = 2 dddddddddd dddddddddddd