I can’t see the picture so if you just want to comment and put it there I can help :)
Determine first the places that will be filled:
26 + 26 + 10 = 62 ways
The number of possible passwords is limited to 12 characters
Thus,
= 62^12 (assume that repetition is allowed)
The probability of guessing correctly =
(1/62)^12
= 3.099557704 x 10^-22 (note that it is in scientific notation form)
Given the function:
The function can also be written as:
The range of the function will be all set of y values.
To find the range, let's graph the function below.
We have:
From the graph above, all possibe y values range from 0 to infinity.
Therefore, the range of the function is from zero infinity.
In interval notation:
Range = (0, +∞)
ANSWER:
4. (0, +∞)