The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poisson distributed); on average, 8 customers arrive to purchase tickets each hour (Poisson distributed). 1. Determine the average time a ticket buyer must wait (in minutes). , Round your answer to integer, the tolerance is +/- 1. 2. What portion of time is the ticket seller busy? %, Round your answer to integer, the tolerance is +/- 1.

Answers

Answer 1

Answer:

a

[tex]A_w  =  1.667  \ hour [/tex]

b

 [tex]b  =  0.667 \  hour  [/tex]

Step-by-step explanation:

From the question we are told that

   The mean number of ticket per hour is  [tex]\mu  =  12 \  tickets[/tex]

   The  mean number of customers arrive to purchase tickets each hour is [tex]\lambda  =  8 \  customers[/tex]

    Generally the average time the ticket buyer must wait is mathematically represented as

      [tex]A_w  =  \frac{\lambda }{ \mu [\mu -\lambda]}[/tex]

=>    [tex]A_w  =  \frac{8 }{ 12 [12-8]}[/tex]

=>     [tex]A_w  =  1.667  \ hour [/tex]

Generally the portion of time is the ticket seller busy is mathematically represented as

     [tex]b  =  \frac{\lambda}{ \mu}[/tex]

=>    [tex]b  =  \frac{8}{ 12} [/tex]

=>    [tex]b  =  0.667 \  hour  [/tex]


Related Questions

corey tracks heart rate after coming off the ice in a hockey game. in 1/6 minute, her heart beats 26 times.

Answers

Answer:156

Step-by-step explanation: 26÷1/6 =26×6 =156

The intensity level is moderate

In one second Corey's heart will beat 3 times.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Corey's heart beats 26 times in 1/6 minutes.

Assume that her heart beats [x] times in 1 second. Then -

1/6 of minute = 1/6 x 60 = 10 seconds

In 10 seconds, her heart beats 26 times

So, in one second, her heart will beat (26/10) = 2.6 times = 3 times (approx.).

Therefore, in one second Corey's heart will beat 3 times.

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<2 and <3 are ____ angles

complementary

vertical

congruent

supplementary

Answers

Answer:

supplementary

Step-by-step explanation:

Angle would add up to 180 degrees. lol second time!

Answer:

supplementary

Step-by-step explanation:

What is the distance between points (8, 4) and (3, 4) on a coordinate plane?

Answers

Answer:

5 units

Step-by-step explanation:

Since the y value doesn't change, and the x value changes by 5 units, we can conclude that the distance between the points is 5 units.

What is R,S,W? I really need help!

Answers

Answer:

R- 73°

S- 73°

W- 138°

Step-by-step explanation:

Every triangle is 180°.

So 65+42=107

180-107=73

So that's the triangle to the right.

Now the other one is identical.

So we know the line w is on is 180°

On the corner w is on it took up 42°

So 180-42= 138° (which is 'w')

Hope it helps! :D

A bag contains nine balls labeled 1 through 9. One ball will be randomly picked. What is the probability of picking a multiple of 3?

Answers

Answer: 3/9 or 1/3

Step-by-step explanation:

3, 6 and 9 are all multiples of 3 equal or below 9.

Adrian spent $19.35 on school supplies he bought two poster boards for $2.25 each he spent the remaining amount on notebooks that cost a dollar 65 each how many notebooks did Adrian Buy​

Answers

9 because when you subtract the amount of poster money from the total ($19.35), you get $14.85. $14.85 divided by $1.65 is 9, which means he bought 9 notebooks.

Answer:

9

Step-by-step explanation:

Study Island

A superstar major league baseball player just signed a new deal that pays him a record amount of money. The star has driven in an average of 110 runs over the course of his career, with a standard deviation of 31 runs. An average player at his position drives in 80 runs. What is the probability the superstar bats in fewer runs than an average player next year

Answers

Answer:

0.1667

Step-by-step explanation:

Given that:

Average / mean runs (m) = 110 runs

Standard deviation (σ) = 31 runs

Number of runs driven in by an average player in his position = 80

The probability the superstar bats in fewer runs than an average player next year will be the :

P(x < 80)

Zscore = (x - mean) / σ

Zscore = (80 - 110) / 31

Zscore = - 30 / 31

Zscore = - 0.9677419

P(Z < 0.9677419) = 0.1666 ( from z probability calculator)

= 0.1667

The equation of the line in the graph is y=
X +

Answers

y=-1x+-1

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

Answer:

y= -1x +1

Step-by-step explanation:

sixteen percent of people spend more than what amount of time watching TV shows on this streaming service

Answers

Answer:

56 minutes

Step-by-step explanation:

https://quizlet.com/530747948/statistics-unit-2-the-normal-distribution-test-review-flash-cards/

What is another way to write 75?

A. 5+5+5+5+5+5+5

B. 5×5×5×5×5×5×5

C. 7×7×7×7×7

D. 7+7+7+7+7

Answers

Answer:

c

Step-by-step explanation:

Answer:

1236835728943470

Step-by-step explanation:

A large negative number is added to a small positive number. Which of the following statements is correct about the
sum?
the sum will be negative
the sign of the sum cannot be determined
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Answers

Answer:

the sum will be negative

The sum will always be negative because the positive number would have to be larger than the negative for the outcome to be positive.

Identify the solutions to (2x - 4)(x + 10) = 0

Answers

Answer:
-10,2

Solve by factoring set each equation equal to 0.
2x-4=0
X+10=0
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Answer:

x = -2

Step-by-step explanation:

2x-4+x+10=0 combine like terms

3x + 6 = 0 subtract 6 from both sides

3x = -6 divide by 3

x = -2

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Answers

Answer:

Y equals 5.............

Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms?​

Answers

Answer:

If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant.

can someone please help me with this, I cant figure it out. thank you!​

Answers

C is the right answer

which shows the best use of the associative and commutative properties to make simplifying 2/7 - 17 + 6 - 5/7 + 1 easier?

Answers

Answer:

B

Step-by-step explanation:

:)

(iv) 123456
3. Find the sum of the place values of 5 in the following numbers:
(0) 3515
(II) 52105
(III) 61655
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(vill) 52756

Answers

Answer:

it should be 45,870

Step-by-step explanation:

A car is traveling at a speed of 99 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.

Answers

//////l??///??????/////

please help me with this questions

Answers

Answer:

See attached

Step-by-step explanation:

The answers added on the picture

Which of the following expressions
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Answers

Answer:

80x3, 6x40, 60x4

Step-by-step explanation:

80x3=240

6x40=240

60x40=240

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Answers

Answer:

−5 1/5÷(2/3)≈-7.8

Please help me with this

Answers

Answer: 5x-y+6

Step-by-step explanation:

A pool measuring 8 meters by 24 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 720 square meters, what is the width of the path? 8 + 2x 8 24 - 2x


The Width of the path is ____ meters​

Answers

The real answer is 6

Step-by-step explanation:

the width of the path is 6 meters.

Let's assume the width of the path is represented by 'x' meters.

The overall dimensions of the combined pool and path would be:

Width = 8 + 2x

Length = 24 + 2x

To calculate the area of the combined pool and path, we multiply the width and length:

Area = (8 + 2x) * (24 + 2x)

Given that the area is 720 square meters, we can set up the equation:

(8 + 2x) * (24 + 2x) = 720

Expanding the equation:

192 + 16x + 48x + 4x² = 720

4x² + 64x + 192 = 720

Rearranging the equation:

4x² + 64x - 528 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. After solving the equation, we find that x = 6.

Therefore, the width of the path is 6 meters.

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The taxes on a house assessed at $78,000 are $1950 a year. If the assessment is raised to $93,000 and the tax rate did not change, how much would the taxes
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Answers

Answer:

i dont do taxes

Step-by-step explanation:

3/5 + 2/6=......................​

Answers

Answer:

14/15

Step-by-step explanation:

3/5 + 2/6 = 3/5 + 1/3

5, 3: 15

= 9/15 + 5/15

= 9 + 5/15

= 14/15

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Answers

Answer:

0.5 times -8 3/5

Step-by-step explanation:

Subtract both numbers and you will get the answer.

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Answers

Answer:

The answer is 135

Step-by-step explanation:

all angles in a triangle equal to 180.

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the missing angles measure is 135 degrees

hope this helps!

Caculate the unit rate using the following
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Answers

Answer:

80 miles per hour

Step-by-step explanation:

To find her speed in miles per hour, multiply 20 by 4.

Since she drove 20 miles in 1/4 of an hour, we can find the amount she can drive in 1 full hour by multiplying it by 4.

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= 80

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Answer:

80 mph

Step-by-step explanation:

20 miles multiplied by 4(quarters of the hour) is 80mph

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Answers

Answer:

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Step-by-step explanation:

I don't understand the question

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Answers

Answer:

2/15

Step-by-step explanation:

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