Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
18 would be the right answer
Answer: 0.00067 minutes
Step-by-step explanation: if the proportion of customers who wait more than 15 minutes is 0.01, then the time interval between each waiting customer 15/0.01 = 1500 minutes.
The distribution that defines this question is that of an exponential.
An exponential distribution is dependent on the fixed time rate at which the event is occurring (λ)
For this question of ours, λ = 1500 minutes.
The mean of an exponential distribution is given as
u = 1/ λ = 1/1500 = 0.00067 minutes.
The answer is B.the positive correlation between the number of trucks that drive on a road and the amount of maintenance the road needs.
