Answer:





Step-by-step explanation:
Given
Success
Failure
Consecutive trials until S happens
Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
The only possibility here is: 
because 3 trials implies that all outcomes must be S.

The only possibility here is:
because 4 trials implies that the first outcome must be F

The possibilities are:
because 5 trials implies that the first and the second outcomes must be FS or SF.

The possibilities are:
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
The possibilities are:
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
Answer:$73947.52
Step-by-step explanation:
The investment decreases in value, so the common ratio r is (1.000-0.012), or 0.988. Thus, A = $100,000* (0.988) ^25 = $73947.52 is the current value, after 25 years.
Volume of a cilinger, V = π(r^2)H
Here, V = 540π ft^3 and H =15 ft
Then, r^2 = 540π ft^3 / [π15ft] = 36ft^2
r = √(36ft^2) = 6ft
And the diameter is 2*r = 12 ft