Hilbert’s hotel has rooms numbered 1, 2, 3, 4, 5, . . . – one room for each positive integer. Guests are sometimes asked to move rooms, but never more than once a day. Guests are never asked to share a room with anyone else, and guests are never turned away. Guests often arrive to Hilbert’s hotel in one of his special buses. Each bus holds passengers numbered 1, 2, 3, 4, 5, . . . – one passenger for each positive integer. 1. Our story opens with Hilbert’s hotel empty. A bus full of guests arrive at Hilbert’s hotel. (a) How can Hilbert assign people to rooms?

Answers

Answer 1

Answer:

For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it

Step-by-step explanation:

Given that the Hotel is empty and every passenger stands for each positive integer and each number of room represents positive numbers as well

Hilbert can assign people to rooms by using a plot of first come first serve

i.e. For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it


Related Questions

Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE

Answers

Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

What type of angles are <5 and <6?

A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles​

Answers

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

C. Supplementary angle

It is bot B or D because they arent alternating, they are in fact next to each other.
It is not A because it is not a 90 degree angle

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

given

[tex]y = - 67.9x + 679[/tex]

Substitute x into equation to find y.

[tex]y = - 67.9(2) + 679 \\ = - 135.8 + 679 \\ = 543.2miles[/tex]

An equation is shown: a×b=c. Let c be an irrational number. What can be said about a and b?

Please help

Answers

if c is a irrational number that means a or b is also an irrational number or both of them are irrational numbers but they are different then each other

i hope that will help

There are two possible answers:

'a' is irrational and b is rational, OR'a' is rational and b is irrational

You can only pick one of those two cases. In short, exactly one of the 'a' or b is irrational and the other is rational. Both 'a' and b cannot be rational together, and they both cannot be irrational together.

================================================

Explanation:

For a moment, let's say that 'a' and b are both rational numbers. This means they would be ratios of integers. So,

a = p/q

b = r/s

where p,q,r,s are integers. The denominators q & s cannot be zero.

Multiplying those rational numbers 'a' and b leads to

a*b = (p/q)*(r/s) = (p*r)/(q*s)

We get a result in the form of integer/integer. Recall that multiplying any two integers leads to some other integer. Since (p*r)/(q*s) is a ratio of integers, it is rational and that makes a*b = c to be rational. However, your teacher said that c is irrational which is the opposite of rational.

In short, if both 'a' and b are rational, then a*b = c is rational. This means we know for certain that both 'a' and b cannot be both rational for c to be irrational.

------------------------

Next, we'll consider 'a' and b to both be irrational. Is it possible to have a*b = c to be irrational as well? It depends.

If we have the following

a = sqrt(3)

b = sqrt(12)

then,

a*b = sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6

Showing that a*b is rational because 6 = 6/1 is a ratio of integers. This is a bit strange considering how 'a' and b themselves were irrational, but they led to a rational product.

This doesn't always happen since something like

sqrt(3)*sqrt(5) = sqrt(3*5) = sqrt(15)

is irrational. So if both 'a' and b are irrational together, then a*b could be rational or it could be irrational. We would need more information about the values of 'a' and b.

Therefore, we know that we can rule out the case that 'a' and b are irrational together.

------------------------

Lastly, we'll consider the case when one of 'a' or b is rational while the other is irrational. The order doesn't matter. So we'll make 'a' to be irrational and b to be rational.

Since b is rational, this means b = p/q for some integers p,q where q is nonzero. The value of 'a' cannot be written as a ratio like this because it is irrational.

Multiplying any nonzero rational number with an irrational one always leads to an irrational result. If a*b was rational, then we could say

a*b = r/s

a*(p/q) = r/s

a = (r/s)*(q/p)

a = (r*q)/(s*p)

Showing that 'a' is rational, but this contradicts the fact we made 'a' to be irrational at the top of this section. Therefore, a*b is always irrational if exactly one of 'a' or b is irrational and the other is rational.

In other words, if,

'a' is rational and b is irrational, or'a' is irrational and b is rational

then a*b = c is irrational

A researcher collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed limit was 25mph. The recorded speed of 20 randomly selected vehicles is given below: 2038243927402837293530313219331834213623 Calculate the sample mean, standard deviation, and the median of the above data. (Round to one decimal place

Answers

Answer:

[tex]\bar x =29.7[/tex]

[tex]\sigma = 6.81[/tex]

[tex]Median = 30.5[/tex]

Step-by-step explanation:

Given

[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]

[tex]n = 20[/tex]

Solving (a): The sample mean

This is calculated as:

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]

[tex]\bar x =\frac{594}{20}[/tex]

[tex]\bar x =29.7[/tex]

Solving (b): The standard deviation

This is calculated as;

[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]

[tex]\sigma = \sqrt{46.41}[/tex]

[tex]\sigma = 6.81[/tex]

Solving (c): The median

First, sort the data in ascending order

[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]

The position of the median is calculated as:

[tex]Median = \frac{n+1}{2}[/tex]

[tex]Median = \frac{20+1}{2}[/tex]

[tex]Median = \frac{21}{2}[/tex]

[tex]Median = 10.5th[/tex]

The 10.5th item represents the mean of the 10th and 11th item.

So, median is:

[tex]Median = \frac{30+31}{2}[/tex]

[tex]Median = \frac{61}{2}[/tex]

[tex]Median = 30.5[/tex]

Jose is going hiking for 5 days. He packed 8 bags of trail mix to eat along the way.
Jose wants to eat all the trail mix without having any left over. He also wants to eat
the same amount every day. Use division to help Jose calculate how much he can
eat every day​

Answers

Answer:

1.6

Step-by-step explanation:

since it is 5 days and you are splitting the traik mix

divided the amount of trail mix by the day

Answer:

The answer is D

Step-by-step explanation:

6 more than the quotient
of a number and 5

Answers

Answer is: 6+x/5
Good luck

What is the area of a circle with a radius of 6 inches?


Help asap

Answers

Given Information :

Radius of circle = 6 In

We know that,

→ Area of circle = πr²

→ Area of circle = π × (6)²

→ Area of circle = π × 36

Area of circle = 36π

Option C is correct.
Question:-

What is the area of a circle with a radius of 6 inches?

Answer:-

We know,

Formula of Area of circle is πr²

Radius = 6 inches (Given)

So, Area of circle = π(6)² = 36π in²

The area of a circle with a radius of 6 inches is 36π in².

Hence, option (c) 36π in² is correct. [Answer]

[tex] \bf Hope \: it \: helps \: you [/tex] .


Persons taking a 30-hour review course to prepare for a standardized excam averago a score of 620 on that exam. Persons taking a 70-hour review course average a score of 809. Find a linear function, S(t), which fits this data, and which
expresses score as a function of time. Use this function to predict an average score for persons taking a 42-hour review course. Do not round until the final answer. Then round to the nearest tenth as needed.

Answers

Answer:

S(t) = 4.725t + 478.25

S(t) = 4.725(42)+478.25

S(t) = 676.7

Step-by-step explanation:

In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.

Order the pairs to get:

(30,620) and (70, 809)

With these values, you use the the equation [tex]\frac{x2-x1}{y2-y1}[/tex] to get the slope m.

[tex]\frac{70-30}{809-620} = 4.725[/tex]

Use this equation and input any ordered pair to get the final function.

y-y1 = m(x-x1)

y-620 = 4.725x-141.75

y = 4.725x + 478.25

Replace x with t and y with S(t) to fit the x & y axis of the question.

5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evening, the cat eats 4/5 of a can of food. Which is the most reasonable estimate for the amount of food the cat eats throughout the day: 1 can, 2 cans, or 3 cans?

In just lazy so thanks people who are helping me ​

Answers

Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

In circle H with m \angle GHJ= 104m∠GHJ=104 and GH=15GH=15 units, find the length of arc GJ. Round to the nearest hundredth.

Answers

Answer: GJ= 27.23

i dont know how to explain this lol sorry but that answer is right

The length of arc GJ is equivalent to 26π/3 units.

What is Circumferance?

Circumferance is defined as the length of the boundary of any two dimensional shape. Mathematically, we can write circumferance as -

C = ∫F(x) dx

Given is that in circle H with m ∠GHJ = 104 and GH = 15 units.

The length of the arc subtending an angle θ at the center is -

L = θ/360 x 2πr

L = 104/360 x 2π x 15

L = 13/45 x 2π x 15

L = 26π/3 units

Therefore, the length of arc GJ is equivalent to 26π/3 units.

To solve more questions on area and circumferance, visit the link-

https://brainly.com/question/29213222

#SPJ2

What is the amount of simple interest saved on a savings deposit of $1,500 for 18 months at an interest rate of 6%?

Answers

Answer:

$135

Step-by-step explanation:

Given data

Principal= $1,500

Time= 18 months = 1.5 years

Rate= 6%

The formula for simple interest is given as

SI= PRT/100

Substiute

SI= 1500*6*1.5/100

SI= 13500/100

SI= $135

Hence the simple interest after 18months(1.5 years) is $135

Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ____ yard.

Answers

Answer:

1/12

Step-by-step explanation:

Simpliy divide 1/4 by 3

(1/4)/3=1/12

f(x)=
2x
2
−x−15
−4x+12

Answers

Answer:

f(x) = -x -3

Step-by-step explanation:

Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.

Answers

Answer:

D) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:

The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.

Answer:

OD) If WX = XY and XY = YZ, then WX = YZ.

Step-by-step explanation:I took the test

its b i took a test .

Answers

Alright....good for you

plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade

Answers

Answer:

1.83

Step-by-step explanation:

Answer:

I'm not good with models and modeling but the answer will be 1.83.

NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.

Answers

9514 1404 393

Answer:

48.0 seconds2833 meters

Step-by-step explanation:

A graphing calculator shows the points of interest nicely.

  The rocket splashes down after 48.0 seconds.

  The maximum height is 2833 meters above sea level.

__

The equation for the motion is ...

  h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m

The vertex (maximum height) is found at ...

  t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds

Then the maximum height is ...

  h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters

The value of t when h(t) = 0 can be found using the quadratic formula.

  t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8

  t ≈ 48.023 ≈ 48.0 . . . seconds

The coordinates of G are

Answers

The coordinates of vertex G are (2,0). I did this.

PLS HELP FAST ITS THE LAST DAY TO DO THIS TEST NO LINKSSSS
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
When this linear relationship is graphed, which value represents the slope?
A. 3
B. 40
C. 75
D. 195

Answers

Answer:

40 because every hour he charges 40 dollas so its 40x+75=y

Step-by-step explanation:

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

We have given that,

An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.

We have to determine,

When this linear relationship is graphed, which value represents the slope.

What is the slope?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.

The slope is 40 because every hour he charges 40 dollars so its 40x+75=y

To learn more about slope visit:

https://brainly.com/question/3493733

#SPJ2

x + 2 1/2 = 10 what does x equal

Answers

Answer:

x = 7 1/2

Step-by-step explanation:

x + 2 1/2 = 10

subtract 2 1/2 from both sides of the equation:

x = 7 1/2

Answer:

x=15/2

Step-by-step explanation:

x+2 1/2=10

x+2×2+1/2=10

x+4+1/2=10

x+5/2=10

x=10-5/2

x=15/2

decimal form: 7.5

If D = {1,3,5}, E={3,4,5}, F={1,5,10}

Find

a) ∪

b) ∩

c) ( ∩ )

d) ( ∪ ) ∩

e) ( ∩ )

Answers

Step-by-step explanation:

a)U={1,3,4,5}

b)={1,3,5}

a new school bought pencils for all of the classrooms. there are 7 pencils in each package, and each box of pencils contains 7 packages. Each classroom gets 4 boxes. How many pencils are there in 3 classrooms? ​

Answers

Answer:

588 pencils

Step-by-step explanation:

3 classroom times 4 boxes

12 boxes in total

12 boxes times 7

84 packages

7 pencils in each package

84 x 7

588 pencils

brainliest?

588 is the correct answer.

Need answer with full work

Answers

Answer:

Step-by-step explanation:

x^2 - 17x - 60

(x - 20)(x + 3)

x^2 + 3x - 20x - 60

x^2 - 17x - 60

(x + 20) is not one of the factors

using F.O.I.L., it would have been

x^2 + 17x - 60

A circle with a diameter of 10 has its center in the first quadrant. The lines y = -3 and x = -1 are tangent to the circle. Write an equation of the circle.

Answers

Answer:

34

Step-by-step explanation:

Answer:

(h,k)=(-1,-3)

radius =10/2=5 unit

equation of the circle

(x-h)² +(y-k)²=r²

(x+1)²+(y+3)²=25 is a required equation..

Find the quotient of 10x4 / 5x2.

Answers

the answer is 16. hope this helped

3
13
1
3
Area
-
in?
6
N
1
1
2
3
2
1
6.
2
3
4
5
6
7
8
Enter

Answers

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT IS A COMPUTER TABLET AND PHONE VIRUS

Plzzzz answer fast..​

Answers

Answer:

D) LM=12; QP=8

Step-by-step explanation:

12/18=(x-1)/(x+3)

cross multiply

12x+36=18x-18

36+18=18x-12x

54=6x

9=x

LM = x+3 = 9+3 = 12

QP = x-1 = 9-1 = 8

Solve for x.
Greatly appreciate all efforts :)

Answers

Answer:

x = 11

Step-by-step explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Given :-

[tex]∠L=(3x+27)°[/tex]

ToFind:-

Value of x.

We know that:-

[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]

[All sides of triangle are equal]

According to question:-

[tex]∠L+ ∠K+ ∠M= 180°[/tex]

[Sum of all of triangle is 180°]

[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]

[tex]=>9x+81 =180°[/tex]

[tex]=>9x=180°-81[/tex]

[tex]=>9x=99[/tex]

[tex]=>x=\frac{99}{9}[/tex]

[tex]=>x=11[/tex]

The value of x is 11.

due today! The price of an ice cream cone is $2.75. You buy one for yourself and another for your little brother. How much sales tax will you pay? The sales tax rate is 7.5% How much sales tax will you pay?

Answers

Answer:

$0.41

Step-by-step explanation:

1 ice cream cone: $2.75

2 ice cream cones: 2 * $2.75 = $5.50

7.5% of $5.50 =

= 0.075 * $5.50

= $0.4125

Answer: $0.41

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