Answer: Function
f(x) = -2(x-105)^2 +18,050
Step-by-step explanation:
Because only this function satisfies both conditions i.e.
Condition : 1
Profit = 0, when x(items sold) = 10
f(10) = -2(-95)^2 + 18,050 = 0
Condition :2
Profit = 1 , when x = 105
f(105)= -2(105-105)^2 + 18,050 = -2(0) +18,050
f(105) = 18,050.
<span>Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2
This is the </span><span>statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.
There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.
1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability
So, (1/7)</span>² is the probability that both persons will have their birthdays on a Monday.
<span>The letters BE GJ LO QT forms a sequence in which the first letter of each term is formed by counting five alphabets from the first letter of the preceding term while the last letter of each term is also formed by counting five alphabets from the last letter of the preceding term.
Therefore, the next term in the sequence is VY.</span>
Answer:
1289.31 feet
Step-by-step explanation:
One full ride has 3 minutes of duration, and the speed of the carousel is 3.8 revolutions per minute, therefore one full ride takes 3.8*3 = 11.4 revolutions.
If the diameter of the carousel is 36 feet, its circunference is pi*36 feet long.
In each revolution of the carousel, it travels the length of its circunference, that is, pi*36 feet.
If one full ride has 11.4 revolutions, the total distance travelled by the rider is 11.4 * pi * 36 = 1289.31 feet
We have that
Profit margin is calculated by finding the net profit as a percentage of the revenue
Profit margin = [Net profit / Revenue]
Net profit= [Revenue-Cost]
we know that
Revenue = $16.25 million
Cost = $13.5 million + $2.7 million
Net profit = [16.25 million - (13.5 million + 2.7 million)]
Net profit = $0.05 million
Profit margin = 0.05 / 16.25
Profit margin = 0.003077 or 0.3077%
