X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000
x = 125000/p^3
The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3
Therefore the price that will yeaild maximum profit is $3.
Large cab doors= 12.5x2.5= 31.25in
1feet = 12in
12feet X 12 = 144in board
144 / 31.25 = 4.608
4 large doors can be cut
19in left over
Answer:
85-86%
Step-by-step explanation:
Make it an equation
You want to find the percent out of a hundred, so 42 is 100 since it is all of the questions and 36 is the unknown percent X
36/42 = X/100
36 X
42 100
Cross multiply
Do math and solve for X
36 x 100 = 42 x X
3600=42X
X=85.71
Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705
Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
The equation of a parabola is:
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
