Answer:
The probability of the system being down in the next hour of operation is 0.3.
Step-by-step explanation:
We have a transition matrix from one period to the next (one hour) that can be written as:
We can represent the state that system is initially running with the vector:
The probabilties of the states in the next period can be calculated using the matrix product of the actual state and the transition matrix:
That is:
With the inital state as running, we have a probabilty of 0.7 that the system will be running in the next hour and a probability of 0.3 that it will be down.
False. it has to be a right triangle
Margaret drove 30 miles one way and 30 miles back, totaling 60 miles.
Given that Margaret drove to a business appointment at 30 mph, and her average speed on the return trip was 20 mph, and the return trip took 1/2 hr longer because of heavy traffic, to determine how far did she travel to the appointment the following calculation must be performed:
- 30 - 20 = 10
- 10 = 0.5 hours = 30 minutes
- 30 = 1
- 20 = 0.666
- 1 = 1
- 1.333 = 1.5
- 1 = 30 x 2 = 60
Therefore, Margaret drove 30 miles one way and 30 miles back, totaling 60 miles.
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