The zeroth derivative of a function
is simply the function itself, so the zeroth order linear ODE takes the general form

whose solution is
.
In the smallest of the three triangles (with sides
) we have

In the second-largest triangle (with sides
), the length of the missing side is
. Then in the largest triangle (with sides
), we have



Equivalently, we have

In turn, we find

Answer:
The probability that the pirate misses the captain's ship but the captain hits = 0.514
Step-by-step explanation:
Let A be the event that the captain hits the pirate ship
The probability of the captain hitting the pirate ship, P(A) = 3/5
Let B be the event that the pirate hits the captain's ship
The probability of the pirate hitting the captain's ship P(B) = 1/7
The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)
P'(B) = 1 - 1/7 = 6/7
The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7
= 0.514