Answer:
0.5 or 50%
Step-by-step explanation:
For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

The probability is 0.5 or 50%.
Equation- p-6= -14
Answer- p=-14
Answer: 14 miles ≤ D ≤ 22 miles.
Step-by-step explanation:
The mean distance traveled per gallon, is 18 miles.
But this can fluctuate, at most, by 4 miles.
Because we have here the "at most", we know that we should use the ≤, ≥ symbols.
Then, if the mean is 18mi, the range of possible distances traveled per gallon is:
(18 miles - 4 miles) ≤ D ≤ (18 miles + 4 miles)
Where D is the distance.
14 miles ≤ D ≤ 22 miles.
So the truck can get between 14 miles and 22 miles per gallon on the highway.
Answer:
7
Step-by-step explanation:
The rate of change is defined as
f(x2) - f(x1)
--------------------
x2-x1
x2 = 6
f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8
x1 = 4
f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6
Substitute the values into the expression
8 - -6
--------------------
6-4
8+6
------------
2
14/2= 7