There is only one copying machine in the student lounge of the business school. Students arrive at the rate of = 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds (according to an exponential distribution). What is the percentage of the time that the machine is used?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

Given the following :

Rate of arrival = 40 ( poisson distribution)

Average copying time = 40 seconds (according to an exponential distribution)

Number of machines available = 1

Percentage of time machine is used is Hence ;

Rate of arrival / (Average copying time × number of machines)

40 / (40 × 1)

= 40 / 40

= 1


Related Questions

What is the range of the function?
A. [-2, 11)
B. (-4.0)
C. (-4, 4)
D. [4, 11)

Answers

Answer:

I think it should be D tell me if you got it right

Which input value produces the same output value for the two functions on the graph?

Answers

Answer:

x = 1

Step-by-step explanation:

Answer: 2y by 4x

Step-by-step explanation:

2(4+3x)=74 solve this and show work please help!

Answers

8+6x=74. Solve that to get the answer. You’re welcome

Answer:

x=11

Step-by-step explanation: ( not good at explaining) Hope this helps

Divide both sides of the equation by 2

4+3x=37

Subtract 4

3x=37-4

Subtract 37-4

3x=33

and divide by 3

x=11

Jeene and her friends were selling cookies. They sold four more boxes second week in the than they did the first week . On the third week they doubbled the sale of their second week. Although they sold a total of 352 boxes how many boxes that they sell in the third week?​

Answers

Answer:

i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week

hoped this helped let me know if it did

Answer:

Step-by-step explanation:i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week

hoped this helped let me know if it did

Find the distance between the two points. Round your answer to the
nearest tenth.
YA
(-3,5)
(7,1)

Answers

Answer:

The answer is

10.8 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,5) and (7,1)

The distance between them is

[tex]d = \sqrt{( { - 3 - 7})^{2} + ({5 - 1})^{2} } \\ = \sqrt{ ({ - 10})^{2} + {4}^{2} } \\ = \sqrt{100 + 16} \\ = \sqrt{116} \\ = 2 \sqrt{29} \\ \: \: \: \: \: \: \: \: = 10.770329[/tex]

We have the final answer as

10.8 units to the nearest tenth

Hope this helps you

Find the median of the following data.
2, 8, 7, 8, 6, 15, 6, 8, 3

Answers

Answer:

7

Step-by-step explanation:

You have to put the numbers in order then find the middle number.

Numbers in order: 2,3,6,6,7,8,8,8,15

Then cross out the numbers on the end (one by one) until you get to the middle number. (If there are two numbers left once you're done then you add them then divide by 2)

Answer:7

Step-by-step explanation:

It takes 42,000 lbs of sand to fill 10 park sandboxes. How much sand will the parks and recreation department need to put in each of the 10 sandboxes?

Answers

Each sandbox will need 4,200 lbs of sand. 42,000/10=4,200

The table shows the portions of a family budget that are spent on several expenses.
Housing: 1/4
Food: 1/12
Automobiles: 1/15
Recreations: 1/40

a. How many times more is the expense for housing than for automobiles?

b. How many times more is the expense for food than for recreation?

c. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?

Answers

Answer:

a. 3,75b. 20c. 1/4

Step-by-step explanation:

Expenses.Housing: 1/4 Food: 1/12 Automobiles: 1/15 Recreations: 1/40Questions

a. How many times more is the expense for housing than for automobiles?

1/4 : 1/15 = 1/4*15 = 15/4 = 3.75 times

b. How many times more is the expense for food than for recreation?

1/2 : 1/40 = 1/2 * 40 = 40/2 = 20 times

c. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?

1/60 : 1/15 = 1/60*15 = 15/60 = 1/4

which of the following is not a rate

a. 3miles / 5 hours

b. $15/ 3 hours

c. 5 inches / 20 inches

d. 12 pencils / 1 box​

Answers

c because it is the same measurement twice

what is two more than -7

Answers

Answer:

-5

Step-by-step explanation:

-7 +2 = -5

Answer:

-5

Step-by-step explanation:

Because when a number is a negative and you need to add, you subtract instead.

Hope this helps. Plz give brainliest.

please answer or i move down!!!!!!!!!!!!!!!!!!!

Answers

Answer:

180°-(68°+37°)→→→→→→→→sum of angles on a straight line.

180-105=75°

Point to be kept in mind : the sum of angle of a straight line is 180°!

Thus,

68+ X + 37 = 180

=> 105 + X = 180

=> X = 75°


Find the binomial coefficient
(46/46)
A.46
B.0
C.undefined
D.1

Answers

Answer:

Step-by-step explanation:

c

Solve the system of equations graphically.3x + 2y = 4−x + 3y = −5

Answers

Answer:  (2,-1).

Step-by-step explanation:

The given system of equations is

[tex]3x+2y=4[/tex]

[tex]-x+3y=-5[/tex]

For [tex]3x+2y=4[/tex], table of values is

x :   0        1         2

y :   2      0.5      -1

For [tex]-x+3y=-5[/tex], table of values is

x :   -1        2         5

y :   -2       -1         0

Plot these points on a coordinate plane and connect them be straight lines as shown below.

Form the graph it is clear that the lines intersect each other at (2,-1).

Therefore, the solution of given system of equations is (2,-1).

PLEASE HELP! I ONLY HAVE 10 MINUTES LEFT!

Consider the sequence of steps to solve the equation:

Answers

Answer:

Multiplacation

Step-by-step explanation:

It is the multiplacation roperty pbecauseyou are multipyling 10 times x and 3.

A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
825 square feet
775 square feet
800 square feet
875 square feet

Answers

3350

5(4×) is 20 so 20+10=30+15=45+30=75+825=900+775=1675+800=2475+875=3350

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 1, multiplicity 2; 2i

Answers

Answer:

3

Step-by-step explanation:no

find the measure of the angle marked with a? Using inverse trig functions. Round your answer to the nearest degree. part 3​

Answers

Answer:

The unknown angle =

27°

Note :

SOH = Sin angle = Opposite/hypotenuse

CAH = Cos angle = Adjacent/Hypotenuse

TOA = Tan angle = Opposite/Adjacent

Answer:

[tex]\theta \approx 27.5\º[/tex]

Step-by-step explanation:

Once

[tex]$\sin(\theta) = \dfrac{\text{Opposite}}{\text{hypotenuse}} =\frac{12}{26}=\frac{6}{13} $[/tex]

And

[tex]\arcsin \left(\dfrac{6}{13} \right)=\theta[/tex]

[tex]\theta \approx 27.5\º[/tex]

Solve for x: 3(x + 1) = 2(x - 1)
0-5
O-4
O-2
0-1

Answers

Answer: x=-5

Step-by-step explanation: Plug -5 in for x

3(x+1)=2(x-1)
3x+3=2x-2
-3. -3
3x=2x-5
subtract 2x from both sides

1x=-5
so x= -5

8x = 32
Last question please help

Answers

Answer:

x equals 4.

Step-by-step explanation:

32 divided by 8 equals 4. I'm not sure there's any other evidence lol :)

What are graphs used for? Select all that apply.
analyzing what data means
forming experiments
diagram showing the correlation between two quantities
predicting outcomes and patterns


thanks :))

Answers

All of the above. Data is a thing that can be tracked no matter how much of it there is, so all apply.

6. Find LCM (10,14,63).​

Answers

Answer:

630 is the LCM

Step-by-step explanation:

You have to list all the multiples of each number till you find the lowest same value one which in this case it's 630.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650

Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658

Multiples of 63:

63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756

A proportional relationship is a relationship between equivalent ratios. Imagine that ice cream costs $2 per scoop. If you get one scoop of ice cream, you’ll pay $2. If you get two scoops, you’ll pay $4, and for three scoops you’ll pay $6. These ratios of scoops to prices are equivalent. Therefore, the relationship between number of scoops and total price is proportional. To find out the total price of your ice cream, you can always multiply the number of scoops you’re getting by the same number, 2. Which of these can be described with a proportional relationship? A An athlete runs 1 mile in 7 minutes and another mile in 7.5 minutes. B An athlete does 10 push-ups for every 1 mile she runs. C An athlete runs 2 miles and does 25 push-ups. D An athlete runs 5 miles 3 times a week.

Answers

Answer:

B. An athlete does 10 push-ups for every mile she runs.

Step-by-step explanation:

10/1  ->  20/2  ->  30/3

how to solve 2x+4 = 6x - 10

Answers

Answer:

Step-by-step explanation:

2x + 4 = 6x - 10

Minus 2x on both sides

4 = 4x - 10

Add 10 on both sides

14 = 4x

Divide by 4 on both sides

14/4 = x

x = 14/4

Simplify fraction

x = 7/2 or x = 3 1/2

Simplify the expression so there is only one power for each base. (3x2)^5/(3^2 x 2^3)
A. 3^2 x 2^3
B. 3^2 x 2^2
C. 3^7 x 2^8
D. 3^3 x 2^2

Answers

Answer:

Option D

Step-by-step explanation:

(3×2)^5/(3^2×2^3)

=(3^5)(2^5)/(3^2)(2^3)

=(3^5)/3^2 × (2^5)/(2^3)

=(3^3)×(2^2)

What is the inverse of the function?

H^-1(x)=

Answers

Answer:

H^-1=2/5x-8/5

Step-by-step explanation:

interchange the variables

x=5/2y+4

so 5/2y=x-4

y=2/5x-8/5

H^-1=2/5x-8/5

Cookies cost $3 each, and candies cost $2 each. Tim has
$25. Which inequality represents the number of cookies, x,
and the number of candies, y, that Tim can buy?

Answers

Answer:

8x < 12y

Step-by-step explanation:

If you divide 25 by 3, you get 8.3333... (the threes go on forever), which you can round to 8, because little Timmy isn't going to buy .3 of a cookie. If you divide 25 by 2, you get 12.5, which you round down to 12. I know you normally don't round 5 down, but we are talking about food here.

Therefore, Tim can buy less cookies than candies. He can buy 8 cookies, and 12 candies.

Either way, Timmy's gonna be fat.

Find the quotient: 30 √510

Answers

Answer:

im pretty sure the quotent is 17

Step-by-step explanation:

hope this helps!

The graph shows a linear relationship between the height and years of a plant’s growth. Find the rate of change. Select all that apply.

1. The rate of change of a linear function is always the same.

2. The rate of change of a linear function increases as the input increases.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Answers

Answer:

ACD

Step-by-step explanation:

Got it right on Edge.

Answer: A, C, D

Step-by-step explanation: On Edgenuity!!!!!!!!

The function y1(t)=t is a solution to the differential equation t2y′′−t(t+3)y′+(t+3)y=0. ,t > 0; y1(t) = t. Use the method of reduction of order to find a second solution of the given differential equation.

Answers

Answer:

Step-by-step explanation:

Let y(t) = vt..... 1

Differentiating y(t) with respect to t twice will give;

y'(t) = v(1) + v't

y'(t) = v+v't .... 2

For y''(t);

y''(t) = v'+v'(1)+v''t

y''(t) = 2v'+v''t.... 3

Substitute equation 1, 2 and 3 into the differential equation

t²y′′−t(t+3)y′+(t+3)y=0

t²(2v'+v''t) −t(t+3)(v+v't)+(t+3)(vt)=0

t²(2v'+v''t) −(t²+3t)(v+v't)+(t+3)(vt)=0

Open the parentheses

2t²v'+t³v''-(t²v+t³v'+3tv+3t²v')+t²v+3vt= 0

2t²v'+t³v''-t²v-t³v'-3tv-3t²v'+t²v+3vt=0

Collect like terms according to the degree

t³v''+2t²v'-3t²v'-t³v'-t²v+t²v-3vt+3vt=0

t³v''-t²v'-t³v' =0

t²(tv"-v'-tv') = 0

tv"-v'-tv' = 0

tv"-v'(1+t) = 0

Reduce the degree by substituting p as v' to have;

tp'-p(1+t) = 0

tp' = p(1+t)

Separate the variables

p'/p = (1+t)/t

p'/p = 1/t + 1

Integrate both sides of the equation

ln(p) = lnt + t +K

lnp-lnt = t+K

ln(p/t) = t+K

p/t = e^(t+K)

p = Cte^t

v' = Cte^t

Integrate both sides

v = C{te^t - integral (e^t)}

v(t) = C(te^t - e^t}

y(t)/t = C(te^t - e^t}

y(t) = C(t²e^t-te^t)

Since the solution of second order differential equation

y(t) = C1e^at+C2te^t

In comparison the second solution to the differential equation y(t) will be t²e^t

-4|2w + 61 = -32. What’s the answer

Answers

I’m not smart enough

Answer:

46 1/2

Step-by-step explanation:

hope this helps

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