At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi
1 answer:
Answer: The rates of bicyclists of north and south are 20km/hr and 14km/hr respectively.
Step-by-step explanation:
Since we have given that
Let the speed of bicyclist heading south be 'x'.
Let the speed of bicyclist heading north be 'x+6'.
Since they are moving in opposite directions,
So, relative speed = x+x+6=2x+6
Time taken = 10: 15 to 9:00 = 1 hour 15 minutes =
Distance between them = 42.5 km
According to question, it becomes,
Speed of bicyclist heading north would be 14+6=20 km/hr
So, the rates of bicyclists of north and south are 20km/hr and 14km/hr respectively.
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Solving for , we have
Answer:
It takes less time sending 5 letters the traditional way with a probability of 36.7%.
Step-by-step explanation:
First we must take into account that:
- The traditional method is distributed X ~ Poisson(L = 1)
- The new method is distributed X ~ Poisson(L = 5)
Where L is the intensity in which the events happen in a time unit and x is the number of events.
To solve the problem we must calculate the probability of events (to send 5 letters) in a unit of time for both methods, so:
- For the traditional method:
- For the new method:
According to this calculations we have a higher probability of sending 5 letters with the traditional method in a unit of time, that is 36.7%. Whereas sending 5 letters with the new method is less probable in a unit of time. In other words, we have more events per unit of time with the traditional method.