Answer:
0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Step-by-step explanation:
We are given the following information in the question:
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.
The distribution function can be written as:

The probability for exponential distribution is given as:

a) P( time between the next two calls will be 54 seconds or less)

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
b) P(time between the next two calls will be greater than 118.5 seconds)

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Answer:
22
Step-by-step explanation:
We know that 1 miles = 5280 ft and 1 hour = 3600 seconds
15 miles 5280 ft 1 hour
--------------- * ------------- * -------------- =
1 hour 1 mile 3600 second
The units cancel leaving us ft/s
22 ft/s
Whenever you want to write the equation of a parallel line through some point (h, k), you can ...
- remove any added constant in the original given equation
- replace x with (x-h)
- replace y with (y-k)
- rearrange the resulting equation to the form required by the problem.
Using this formula here, we get
... 2(y +5) = 3(x -2)
Your answer form requires you solve this for y.
... 2y + 10 = 3x -6 . . . . . eliminate parentheses
... 2y = 3x -16 . . . . . . . . subtract the constant on the left (10)
... y = (3/2)x -8 . . . . . . divide by 2
For this case, the first thing you should know is the following conversion of units:
360 degrees = 2pi radians
Applying the conversion we have:
θ = 180 * (2pi / 360)
Rewriting we have:
θ = pi
Answer:
the angle to radians is:
θ = pi
29.3938769134 ft
Take the radical of 864 to get an answer based on the limited info provided.