What is the algebraic expression for the following word phrase: the quotient of 3 and z
2 answers:
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Answer:
a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.
b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state
Step-by-step explanation:
Question a:
The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.
The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So
0.75*0.75 = 0.563
0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.
b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.
If it doesn't have a delay, 85% probability of continuing without a delay.
If it has a delay, 75% probability of continuing with a delay.
So, for the long run:
x: current state
85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So
0.625 = 62.5% probability that in the long run the traffic will not be in the delay state
Answer:
291.25 talk minutes would produce the same cost for both plans.
Step-by-step explanation:
Both plans can be modeled by a first order equation in the following format:
In which is the initial cost, f is the fee that is paid for each minute, and t is the number of minutes.
Cost of the first plan:
The problem states that the first plan charges a rate of 24 cents per minute, which means that .There is no initial cost, so
.
The equation for this plan is:
Cost of the second plan:
The problem states that the second plan charges a monthly fee of $34.95 plus 12 cents per minute. So and
The equation for this plan is:
Find the number of talk minutes that would produce the same cost for both plan:
This is the instant t in which:
291.25 talk minutes would produce the same cost for both plans.