Answer:
The maximum profit of $ 10277.32____ can be made when the selling price of the dog food is set to $ _34___ per bag.
Step-by-step explanation:
Profit = Revenue - Cost
P(x) = R(x) -C(x)
= -31.72x^2 + 2,030x
-( -126.96x + 26,391)
Distribute the minus sign
= -31.72x^2 + 2,030x+126.96x - 26,391
Combine like terms
= -31.72 x^2 + 2156.96 x - 26391
This is a parabola. It is facing downwards. The maximum profits is at the vertex ( where the max is)
vertex = h = -b/2a = -(2156.96)/(2*-31.72) = -2156.96/-63.44=34
Evaluate P(x) at x=34 to determine the profit
P(34) = -31.72 (34)^2 + 2156.96 (34) - 26391
-36668.32+73336.64-26391
10277.32
Answer:
The co variance of the midterm and final exam scores is 58.76.
Step-by-step explanation:
The formula to compute the sample co variance is:
The values are computed in the table below.
Compute the co variance as follows:
Thus, the co variance of the midterm and final exam scores is 58.76.
The set is not closed
Example:
-4 * -3 = 12 this is not a negative integer
Answer:
0.0625
Step-by-step explanation:
The prevalence of gene a = 25 %, P (a) = 0.25
birth defect occurs when both parents have prevalence of gene a.
P (Defect) = P ( Both parents have gene a)
If both parents inherit the gene a independently, the the individual will have a birth defect when both parents have gene a.
P ( Father having gene a) = 0.25
P ( Mother having gene a) = 0.25
Hence,
P (Birth Defect) = P ( Both parents have gene a) = 0.25 * 0.25 = 0.0625
