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vlabodo [156]
3 years ago
8

An empty cup in the shape of a cylinder is being filled with water . The cup is filled at constant rate . The table below shows

the amount of water in the cup at specific times. Find the percent of the cup that is filled with water after 7 seconds
Mathematics
2 answers:
mestny [16]3 years ago
5 0

Answer:

88%

Step-by-step explanation:

KatRina [158]3 years ago
3 0
<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. I'll help you to understand this problem, but I have to assume some things.

We know that the empty cup in the shape of a cylinder is being filled with water. Suppose the volume of this cylinder is:

V=450cm^3

Suppose that the cup is filled at a constant rate of s=50cm^3/s, so in 7 seconds the cup is filled the following amount:

V'=50\times 7=350cm^3

So this represents the following percentage:

\frac{V'}{V}\times100=\frac{350}{450}\times 100=77.78\%

Finally, after 7 seconds the cup is 77.78% filled

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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

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                   \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
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
11Alexandr11 [23.1K]

Answer:

the area = 36.7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
To assess the precision of a laboratory scale, we measure a block known to have a mass of 1 gram. we measure the block n times a
vlada-n [284]
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8 0
3 years ago
Easy problem lots of points explain how to do it please
wlad13 [49]

Answer:

y= -2+\frac{2}{3}x

Step-by-step explanation:

Multiply both sides by 2

2x=3y+6

Move variable to the left-hand side and change its sing

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Divide both sides of the equation by -3

y= -2+\frac{2}{3}x

7 0
3 years ago
Read 2 more answers
Greatest to least: 17/20, 19/20, 0.19, 0.24
Yakvenalex [24]
19/20,17/20,0.24,0.19
5 0
3 years ago
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