Answer:
- 16 acres of barley only (no acres of wheat)
Step-by-step explanation:
A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...
(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}
The profit associated with these scenarios will be ...
for (0, 16): 16·350 = 5600
for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550
To maximize profit, the farmer should plant 16 acres of barley.
he would have painted two feet per minute.
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
Answer:
Step-by-step explanation:
(a - b)² = a² + 2ab + b²
Area of square frame =side²
= (2b - 1)²
= (2b)² - 2*2b * 1 + 1²
= 4b² - 4b + 1
