Answer:
0.0537
Step-by-step explanation:
This follows a binomial distribution with : n
Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3
P (X = 3) =
= 12C3 (0.5)^3 (0.5)^9
0.0537
Answer:
New cars sold = 20,
Used cars sold = 25
Cars serviced = 290
Step-by-step explanation:
In a month they sold fifteen less used cars than twice the number of new cars.
Lets say 'x' number of new cars were sold, then:
The number of used car sold is:
In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:
Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:
Solving for 'x' we get:
Therefore, the number of new cars sold in that month is 20.
Number of used car sold
Number of cars serviced
We can also cross check by summing them up:
For this case we have the following system of equations:
We multiply the first equation by -5:
Thus, we have the equivalent system:
We add the equations:
We find the value of the variable "x":
Thus, the solution of the system is:
Answer: