A professor holds office hours during final exam week and discovers much to his dismay that his sudden popularity affords him little time to engage in his favorite activity, watching cat videos. Fifteen students per hour arrive at his office and he patiently answers questions, averaging three minutes per student. On average, how many students are waiting to ask questions?

Answers

Answer 1

Answer:

There are no student waiting to ask questions

Step-by-step explanation:

The number of students that arre

The arrival rate of the student, λ = 15/hr

The number of minutes spent per student, W = 3 minutes

The number of students waiting to ask questions, 'L', is given by Little's law as follows;

L = λ·W

Where;

L = The number of students in the system

λ = The arrival rate = 15 students/hour

W = The average time spent in the system = 3 minutes = 1/20 hour

∴ L = 15 student/hour × (1/20) hour = 3/4 Students

Given that the number of students waiting to ask questions is a fraction, less than 1, we round down, and there are therefore no student waiting to ask questions


Related Questions

Solve for x. x^2 + 4x + 4 = 8

help me out i’ll give you the brainliest! :)

Answers

-4.828, 0.828 I hope this helps

Blueberries at a farmers' market
cost $18 for 6 pounds. Jerome pays
$24.75 for blueberries to make pies.
How many pounds of blueberries did
he buy?
pounds

Answers

Answer:

8.25 pounds

Step-by-step explanation:

Its $3 per pound, so 24.75/3= 8.25

Answer: 8.25 lbs.

Steps:

18 / 6 = 3 dollars per pound

24.75 / 3 = 8.25

Write the equation in standard form for the circle x^2 + y^2 - 14y + 24 = 0

Answers

Answer:

x^2+(y-7)^2=25

Step-by-step explanation:

x^2+y^2-14y=-24

x^2+(y-7)^2-49=-24

x^2+(y-7)^2=25

18 less than the quotient of a number and -5 is no less than 31

Answers

Answer:

1

Hope this helps!!!!

1 is the answer I think

State the operation used to solve the following equation X -7 equals 15

Answers

Answer:

x = 22

Step-by-step explanation:

The x Is a number that is greater than the 15.

so you add the 7 and the 15 which gives you 22

22-7 equals 15

Hope this helps

John was having a party he knows his bowl can hold 2/3 of a bag of Doritos.if he has 4 bags or Doritos how many bowls does he need

Answers

Step-by-step explanation:

2•4 =8

8/3 =2 2/3

answer : 3

R1 Homework EXTRA CREDIT
R.7-1.1
A set of seven hockey sticks costs $196. What is the cost of one hockey stick?

Answers

Answer:

28

Step-by-step explanation:

7x=196

divide by 7

x=28

Answer:

28

Step-by-step explanation:

7x=196

divide by 7

X = 28

There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles. How many reptiles are there?

Answers

Answer:

There are 9 000 000 = 9 million reptiles in the US.

Step-by-step explanation:

Percentages and ratio:

The double of a measure, for example, is 200% of the measure.

So 1000% of a measure is 10 times the measure.

There are 90 million pet dogs in the US. The number of dogs is 1000% the number of reptiles.

The number of pet dogs is 10 times the number of reptiles, which means that:

[tex]10x = 90 000 000[/tex]

[tex]x = \frac{90 000 000}{10}[/tex]

[tex]x = 9 000 000[/tex]

There are 9 000 000 = 9 million reptiles in the US.

Here is an expression: 3
Evaluate the expression when t is 4.

Answers

Answer:

12

Step-by-step explanation:

I think u meant the expression is 3t...

If so, then the answer is:

3t = 3*4

= 12



2(4y) + 4(3r) answer

Answers

Answer: 8y+12r

Step-by-step explanation:

Take the equation

2(4y)+4(3r)

Distribute the 2 and 4 into the parenthesis'

8y+12r

Let's simply:
___________
2(4y) + 4(3r)
= 8y + 12r

the answer to your question is 12r + 8y

Please solve
(2x^2 +x+4) (x+7) = 6x^3+29x^2+47x+28
with explanation
ASAP!!!
On a time crunch!!!!!

Answers

Answer: x = 0

Step-by-step explanation:

Subtract 6x^3+29x^2+47x+28 from both sides:

(2^2 + x + 4) (x - 7) - 6x^3+29x^2+47x+28

(6x^3+29x^2+47x+28)-6x^3+29x^2+47x+28

= -4x^3 - 14x^2 - 36x = 0

Now factor the left side:

-4x^3 - 14x^2 - 36x = 0

(-2x) (2x^2 + 7x + 18) = 0

Now set the factors equal to 0

-2x = 0 or 2x^2 + 7x + 18 = 0

x = 0

Need help ASAP!!!!!

Answers

Answer:

cos 45 degree = A/H

cos 45 degree =  2 square root 2 / x

x = 2 square root 2 / cos 45 degree

x = 4

Sin 45 degree = O/H

Sin 45 degree = y/ 4

4 x Sin 45 degree = y

y = 2.83

or

we could use tan

tan 45 degree = O/A

tan 45 degree = y / 2 square root 2

2 square root 2 x tan 45 degree = y

y = 2.83

i hope this would elp a little bit.

The equation x = 1 is an example of linear but not function. Why?

Answers

Because there is more than two y values for x = 1

is a 4(2x-3)<8(x+1) always ,sometime,or never true?

Answers

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

8

x

12

<

8

x

+

8

Step 2: Subtract 8x from both sides.

8

x

12

8

x

<

8

x

+

8

8

x

12

<

8

Step 3: Add 12 to both sides.

12

+

12

<

8

+

12

0

<

20

3(n – 8) = -12 solve for n
plz i need the answer ASAP

Answers

Answer:

Step-by-step explanation:

Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.
P(−4, −6); m = −3/4

Answers

9514 1404 393

Answer:

  3x +4y = -36

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope and b is the y-intercept. From this equation, we can find the y-intercept as ...

  b = y -mx

For the given point and slope, this is ...

  b = -6 -(-3/4)(-4) = -9

Then the slope-intercept equation is ...

  y = -3/4x -9

We can multiply by 4 to get something we can put in standard form.

  4y = -3x -36

  3x +4y = -36 . . . . standard form equation

Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number of textbook authors now sitting at a computer b. The height of a randomly selected giraffe c. The responce to the survey question "Did you smoke in the last week" d. The amount of rain in City B during April e. The time it takes to fly from City A to City B f. The number of light bulbs that burn out in the text week in a room with 17 bulbs a. Is the a discrete random​ variable, a continuous random​ variable, or not a random​ variable? A. It is a random variable. B. It is a random variable. C. It is not a random variable.

Answers

Answer:

Discrete variables are those whose distribution will only take a finite number of values which are represented by integer values only.

Continous variables on the other hand could have an infinite number of points inbetween two integer values. With the values inbetween being decimals.

Step-by-step explanation:

a. The number of textbook authors now sitting at a computer :

A discrete random variable

Number of authors will be an integer value.

b. The height of a randomly selected giraffe ;

Continous random variable

Possible height value : h > 0

c. The responce to the survey question "Did you smoke in the last week"

It is not a random Variable

The response isn't numeric

d. The amount of rain in City B during April

It is a continous random variable

Possible values ; amount of rain > 0

e. The time it takes to fly from City A to City B

It is a continous random variable

Time could take up seconds value ;

Possible values : t > 0

f. The number of light bulbs that burn out in the text week in a room with 17 bulbs

It is a discrete random variable

Number of bulbs is defined

Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. Choose the correct answer below. A. The matrix is not invertible because its determinant is zero. B. The matrix is invertible because its determinant is not zero. C. The matrix is not invertible because the matrix has 2 pivot positions. D. The matrix is invertible because its columns are multiples of each other. The columns of the matrix form a linearly dependent set.

Answers

Answer:

A. The matrix is not invertible because its determinant is zero.

Step-by-step explanation:

The matrix is invertible if the columns and rows are equal. The square matrix is invertible because it has equal rows and columns. The determinant of the matrix is zero then the matrix is no invertible.

PLS HELPPP
What value of x would make the following relation a function?
{(-3,-2),(2,3),(3,2),(x,2)}

A. -3
B. -2
C. 2
D. 3

Answers

A........................................

Identify the domain of the function shown in the graph.

Answers

Answer:

Domain is all real numbers.

Step-by-step explanation:

The hanger shown in the diagram is balanced. Both cherries weigh the same, both mushrooms
weigh the same, both carrots weigh the same, and all three strawberries weigh the same.
How many grams does the exotic fruit weigh if the total weight of all ten items is 84 grams?

Answers

Answer:

The mass of the exotic fruit is 20 grams.

Step-by-step explanation:

For the system to be in equilibrium,

i. the resultant of all masses must be zero

ii. the total mass on the left of the hanger must be equal to that on the right

Thus,

84 g = 42 g + 42 g

mass of each carrot = 12 g

mass of each mushroom = 10 g

mass of each cherry = 2.5 g

mass of each strawberry = 5 g

So that;

On the left of the hanger,

(2 x 5) + (2 x 10) + 12 = 42

10 + 20 + 12 = 42

42 = 42

On the right of the hanger, let the mass of exotic fruit be represented by x.

x + 12 + 5 + (2 x 2.5) = 42

x + 12 + 5 + 5 = 42

x + 22 = 42

x = 20 g

The mass of the exotic fruit is 20 grams.

The age of a car and the value of the car
Positive correlation
Negative correlation
No correlation

Answers

Answer:

negative correlation ( age of the car increases value of it decreases)

this stuff is kinda hard please help me find the answer

Answers

Answer: 1 is D and 2 is B I think

Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)

If the total cost is $30, use your expression to determine the cost per person.

Answers

Answer:

Well, how many people are there?

Step-by-step explanation:

We can't solve this without the number of people.

Find the value of x. Pythagorean theorem and its converse

Answers

There’s information missing. Was there supposed to be a picture attached?

Ifn is an integer and n2 squared is divisible by 4, then n is divisible by 4.

Answers

This is false, we can prove this with a simple counterexample.

2^2=4

4 is divisible by 4

but 2 is not divisible by 4

help me I do not know how to do is I do not have a lot of pontes so I will give 10 at is all I have

Answers

Answer:

c

Step-by-step explanation:

as far as I can see

Find the area of the rectangle below. Show your work​

Answers

Answer:

32

Step-by-step explanation:

you can multiply

4 up 8 across so 4 x 8 = 32

Answer:

Area= 32 units

Step-by-step explanation:

A=Bh or Area=Base times height. the base is 8 and the height is 4. 8 times 4 is equal to 32.

Under a periodic inventory system, closing entries will include

debits to Sales, Purchases Returns and Allowances, and Purchases Discounts

credits to the Allowance for Doubtful Accounts

adjustments to the merchandise inventory account to match physical inventory

all of these

Answers

Answer:

0.285714285 nearest thousandth

Tell me the Definition of each Word listed (math)

Answers

Constant: A value that doesn't change. Instead, it's a fixed value.

Variable: A symbol (usually a letter) standing in for an unknown numerical value in an equation.

Term: Either a single number or variable, or numbers and variables multiplied together. (Terms are separated by + or − signs, or sometimes by divide.)

Like Terms: Terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other.

Coefficient: A number used to multiply a variable.
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