James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james
2 answers:
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Part 1: The speed of the boat traveling downstream is miles per hr.
The speed of the boat traveling upstream is miles per hr.
Part 2: The speed of the current is 4 miles per hour.
Explanation:
Part (1): The motorboat travels 18 miles per hour in still.
Let w represents the speed of the current.
When the boat travels downstream, the speed of the current will get added to the speed of the boat.
Thus, the expression can be written as miles per hr
Hence, the speed of the boat traveling downstream is miles per hr.
When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.
Thus, the expression can be written as miles per hr.
Hence, the speed of the boat traveling upstream is miles per hr.
Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.
The distance formula is given by
Substituting, we have,
---------------(1)
---------------(2)
Solving using elimination method,
Dividing both sides by 36, we have,
Substituting in
, we get,
Thus, the speed of the current is miles per hour.
The question is incomplete. Here is the complete question:
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit 10 such targets in a row.
Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?
Answer:
40.13%
Step-by-step explanation:
Let 'A' be the event of not missing a target in 10 attempts.
Therefore, the complement of event 'A' is
Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.
Now,
We know that the sum of probability of an event and its complement is 1.
So,
Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.