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Tomtit [17]
3 years ago
7

A pair of dice was rolled many times

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

  6%

Step-by-step explanation:

Out of 100 rolls, there were 6 instances of 3. The experimental probability of rolling a 3 is ...

  6/100 = 6%

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Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by,   α  = 36 / day

Truck operation departure rate is given,   β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

w_{s} = \frac{1}{\alpha - \beta  }

        where w_s is waiting time in system

                   \alpha is arrival rate described Poission distribution

                   \beta is service rate described by Exponential distribution

w_{s} = \frac{1}{\alpha - \beta  }

w_{s} = \frac{1}{48 - 36 }

w_{s} = \frac{1}{12 } day

w_{s} = \frac{1}{12 }  \times 24  hour        ...it is due to 1 day = 24 hours

w_{s} = 2 hours

Therefore, time required for waiting in system is 2 hours.

           

                   

5 0
3 years ago
The total cost of $4 sharpeners and $7 folders is $30.05. If the cost of a sharpener is $a, and a folder is $2.80 more expensive
raketka [301]

9514 1404 393

Answer:

  a = $0.95

Step-by-step explanation:

The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...

  4a +7(a+2.80) = 30.05

  11a = 10.45 . . . . . . . . . . . subtract 19.60

  a = 0.95 . . . . . . . . . . . divide by 11

The cost of a sharpener is a = $0.95.

7 0
3 years ago
Evaluate the following expression. 5^-3
Ulleksa [173]
5^-3 is 1/125

The negative in the exponent makes it so there is a 1 over the problem if there was no negative. When you have a negative in the exponent, the answer will be the reciprocal (opposite) of the question with no negative.
For example,

9^2 = 81

9^-2 = 1/81

6 0
3 years ago
Graph the points (0,-2), (4,0) and (2,0). If you want to create a parallelogram, which of the following points should used for t
MariettaO [177]

( 2 , - 2 )

................

................

................

8 0
2 years ago
Twenty six equals eight plus v
Mumz [18]

18. You can do this in a calculator. 26 - 8 = 18. v = 18.

6 0
3 years ago
Read 2 more answers
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