At a dinner party, all of the n people present are to be seated at a circular table. Suppose there is a nametag at each place at the table and suppose that nobody sits down in their correct place. Use the pigeon-hole principle to show that it is possible to rotate the table so that at least two people are sitting in the correct place. Be sure to specify precisely what the pigeons are, precisely what the pigeonholes are, and precisely what the mapping of pigeons to pigeonholes is.

Q: Draw the S, Z and PI shaped membership functions to represent the young, middle-aged and old persons…

A:

Q: Determine whether the given set is linearly dependent or linearly independent: S =

A:

Q: Let P1, P2, P3, .. , P78 be some coplanar points with k lines on the same plane. If exactly two line…

A: Given,  P1, P2,P3,...,P78 be some coplanar points with k lines on the same plane. If exactly…

Q: Deiermine the equation of the circle graphed below. y. Enter your search term. 10 8 (7, 7) 5(2, 4).…

A: The graph of the circle is To evaluate: The equation of the circle.

Q: Identify the single transformation (translation, reflection, or rotation) from the preimage to each…

A: Here we have a pre image given. We have to identify the transformation from the pre image to the…

Q: Determine m<ESA in the circle below

A:

Q: For each of the following variables, indicate whether they are categorical or numerical. Also, write…

A: Categorical data is the data that is descriptive, cannot be recorded numerically and hence can only…

Q: ofind all voots ecilmal Places.

A: Use Newton's method to find all roots of the equation correct to 6 decimal places1x=1+x2

Q: Select all of the statements that are accurate with respect to transformations. The preimage of a…

A: We have to select the correct statement from the given options.

Q: 24 48 72 96 +0 0 24 48 72 96 50 50% 150 C) 150- D) 24 48 72 96 ++ 0 24 48 72 96 50- -50- 00: 00- 150…

A: We will find the graph

Q: prove that for any graph G, either G is connected or G compliment is connected

A: If the number of components of a graph is one, then the graph is said to be a connected graph.…

Q: D If Determine and graph the locus represented by |Z +1| = 4 |Z - 1

A: Here we have to find locus and graph of given equation.

Q: (d) List all outcomes in the event D that exactly two vehicles go in the same direction. D = (e)…

A: See the handwritten solution

Q: A group of 10 friends went on a tour in Netherland. For their Amsterdam tour, each of them had to…

A: Let the A denote the set friends and set B denote the places to be visited. Therefore, cardinalities…

Q: 2. The coordinates of AJRB are J(- 1, 3), R(- 1, 1), and B(- 3, 2). What are the coordinates of the…

A:

Q: Blank 1 is movement of a side of a preimage parallel to that side with respect to one other fixed…

A: We have to fill the blanks.

Q: Claim: A majorityof adults would erase all of their personal information online if they could. A…

A: The claim is that majority of adults would erase all of their personal information online if they…

Q: N repteseated by Determin, the lorus 1z -3 -|2+31 =4' %3D

A: Given that : b) argz+1z=π4That can be written as,argz+1-arg(z) =π4Let substitute z =…

Q: The directed line segment whose initial point is the origin is in ________ ________.

A: Our Aim is to tell what the directed line segment is being called whose initial point is the origin.

Q: Turn the following sentence into quantifies: “Any vertex in our graph has at least one edge that…

A:

Q: Determine whether the given set is linearly independent.

A: We will check that given set is linearly independent or not using definition of linear independency.…

Q: Suppose that you have two sets, and you know that both sets are convex. Proven that the intersection…

A: convex set is a set of points such that, given any two points x,y in that set, the straight line…

Q: Stafe true andwer, your or Confinuous map en a metico is an open map

A:

Q: ​Claim: A minority of adults would erase all of their personal information online if they could. A…

A: From the provided information, Sample size (n) = 688 Sample proportion (p̂) = 0.37

Q: In the graph below, there are four translators who can speak 2 languages each (3 if you include…

A: Given is a graph showing that there are four translators who speak 2 languages. Now, a company has…

Q: Label each statement True or False. Not all circles are similar. There is only one transformation…

A: Below given clear answer

Q: 3.5 3 2.5 2 z а. 1.5 0.5 1.5-1 0.5 0 05 1 1.5 b. 15-1 0.5 0 05 0.5 0 os 1 15 d.

A: a) Consider the graph a) It is a graph of family of downward parabolas. A contour line for a…

Q: Consider the monthly salary of all 5 employees of a company: Salary={20,30,22,20,16} Choose any…

A: Given that The monthly salary of all 5 employees of a company. Salary={20,30,22,20,16}

Q: 8. Give an example of each of the following : (a) a set which is a nbd. of each of its points, (b) a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A dietifian surveyed the patients who visited a clinic on a certain day about their eating habits…

A:

Q: If OA, OB and OC are three edges of a parallelepiped where O is (0,0,0), A is (5,9,-3), Bis (2,-1,5)…

A: To find the coordinates of the other four vertices (D, E, F, and G) of the parallelepiped, we can…

Q: X 1+x² List the elements of the requested image or preimage. No set notation needed. Let q be the…

A: