The farthest distance on the planet that the eye can see is given by the formula
= your first height and
=your second height
Since
or the height of the periscope over the water and
for the height of the ship the answer is 832.45553203368 feet, but because the question asks to the nearest mile the answer would be 
If you get it wrong just tell me and I will rework my math again :-)
Answer:
No solution
Step-by-step explanation:
Given:
and 
Solve both inequality separately.
Subtraction property of inequality




and
Addition property of inequality



Hence, the solution of the compound inequality intersection of both solutions.
Please find attachment for number line solution.
No solution
Answer:
Step-by-step explanation:
This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.
Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!
The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is
(12!/5!)/12^7 = 12!/(12^7 5!)
Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:
1 - 12!/(12^7 5!)