3. In how many ways can this diagram be coloured subject to the following two conditions? (i.) Each of the smaller triangle is to be painted with one of the three colours: White, black or blue. (ii.) No two adjacent regions have the same colour.

Q: In order to be admitted for a certain ride at an amusement park, a child must be greater than or…

A: We have to find inequality.

Q: Graph the image of rectangle KLMN after a reflection across the x-axis. 10 4 -10 -8 -6 -4 -2 4. 6.…

A: When you are reflecting a point across x axis then the x coordinate of the image point will be same…

Q: The field of a new soccer stadium is watered by three individual sprinkler systems, as shown by the…

A: Given, Soccer stadium is watered by three individual sprinkler system. Each sprinkler system is…

Q: 1 Find the centre and radius of the largest empty circle for these sets of sites: A 3 3 3 3 3 -3 C…

A:

Q: d) The number of vertices of degree 4 is. e) The sum of the degrees of G is.

A:

Q: Rework problem 7 from section 3.4 of your text, involving the selection of a colored ball from one…

A: P(X)= 1/3 , P(Y)=1/3 , P(Z)= 1/3  Let, B=Blue, R=red and W=white P(B|X)= 1/7 , P(B|Y)= 2/8=1/4 ,…

Q: In how many ways can one walk from A to B by taking the shortest possible path along the grids?

A: In this case, we are able to move up or right. From the diagram we can move 4 rights, and 5 ups'.

Q: Problem #2: Consider the Venn diagram given to the right. In each part, determine which of the…

A:

Q: There are 21 typists in an office, five typists use all manual typewriters, electronic typewriters…

A: (1) Thus the Venn diagram becomes

Q: 2. What are the vertices of ABC after the dilation of a scale factor 2?

A: The coordinate of A are, (2,-1) The coordinate of A after dilation by 2 are, A'=2×2,-1×2=4,-2

Q: It is the entire group of objects or individuals that are being studied.

A: Solution

Q: Based on the following results of an experiment, how many errors would a person who drank 4 oz of…

A: Here we have given the graph between Amount of alcohol and Number of errors on drinking test. i.e.…

Q: two groups of sizes n =10 and m =15, then the degree of freedom is

A: Degree of freedom is the value or the number of parameters which can vary freely. For example if the…

Q: Source panel, Console panel, Environment panel, and File panel

A: When Rstudio is launched for the first time we can see a window of four panels from top to down and…

Q: 6- Discuss the four types of social research, and give an example for each.

A: Research means a deep say about the topic. There are different kinds of studies are there. Some of…

Q: Part 1 of 3 (a) How many different license plates can be formed? The number of different license…

A: Given that, In a certain state, license plates consist of three digits from 0 to 9 followed by four…

Q: called the Rh antigen, is important in human reproduction, and again may or may not be present in an…

A:

Q: Solve the following problems using Venn Diagrams. Of the 100 students enrolled in a business…

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want…

Q: Illustrate De Morgan’s law (A ∪ B) = A¯ ∩ B¯ using Venn diagrams.

A:

Q: An IT project manager of ABC Company has developed an activity list for the purpose of tracking…

A: Use the following formulae, to obtain the solution. Estimated Time, Te=To+4Tm+Tp6Variance,…

Q: 40. When a vertex Q is connected by an edge to a vertex K, what i the relationship between Q and K?…

A: This is a problem of graph theory.

Q: Rework problem 7 from section 3.4 of your text, involving the selection of a colored ball from one…

A: For the given information, the tree diagram is,

Q: 4. Consider the given diagram. a° 5 mm b mm

A:

Q: Graph the image of kite KLMN after a reflection across the line y = -1. 10 -10 -8 -4 -2 10 -2 -4 7.…

A:

Q: Venn diagrams can be used to solve problems that result from surveying groups of people. Example 1:…

A: Solution

Q: 5. The following number of patients in a hospital on a single day were taking antibiotics (A), blood…

A: The given question is solved below

Q: QUESTION 3 The number of edges in a tree with 16 vertices is O At least 15 O At most 15 O Possible…

A: To find the number of edges in a tree with 16 vertices

Q: Problem 4 Show that the set D1\ D2, where D1 := {(x, y) E R² : x² + y² < 2}, D2 := {(x, y) E R? : x²…

A:

Q: Consider the following graph which shows the distances (in miles) between towns Abbyville (A),…

A: Here we have to calculate the shortest route

Q: Venn diagrams can be used to solve problems that result from surveying groups of people. Example 1:…

A:

Q: Question 9 options:   A company surveyed employees about how they travel to work. 47 employees…

A: From given information

Q: 2. Write diagrams in Fig. 4.12 (a a) b) d) c) dce

A: a) This can be represented as: A'∩B

Q: The table below gives the number of non-stop flights from city to city. City 1 City 2 City 3 City 4…

A: If we want to fly form City 1 to City 4 with one stop available, then we can follow the following…

Q: Consider the following bags each containing three marbles with colors white (W), black (K), yellow…

A: Study the table and look for the bag that contains exactly 1 Y.

Q: Rework problem 7 from section 3.4 of your text, involving the selection of a colored ball from one…

A: (1)   The probability that the ball is drawn from bowl X if the ball is blue is calculated below:…

Q: n the following graph, if the light blue colored sector contains 21 % of observations and the total…

A:

Q: Listed below are six eight-letter words. Rank the words in order of the number of unique ways to…

A:

Q: (е) а C f е

A:

Q: 9. 8 6. 5 4 2 3 1

A:

Q: PROBLEM 7 Part 1. The drawing below shows a Hasse diagram for a partial order on the set {A, B, C,…

A: The minimal points on the Hasse diagram are the points which contain no other point below them or…

Q: Two workers receive a daily allowance and an hourly rate 2 for their pay as shown in the graph and…

A:

Q: Using the region names in the image below, select all regions that represent: A ∩ B' ∩ C   A…

A:

Q: Problem 4 In how many ways can seven people A, B, C, D, E, F and G be seated around a circular…

A: As per our company guidelines we are supposed to solve only the first question. Kindly re post the…

Q: The table below gives the number of non-stop flights from city to city. City 1 City 2 City 3 City 4…

A: total number of ways

Q: between three plants A, B, and C,

A: Given that a company has a contract to move 700 units of a product per day between three plants A,…

Q: Problem 4. For each of the Venn diagrams find an expression that represents the shaded region. The…

A: For each of the given Venn diagrams we have to find an expression in terms of the set A, B and C…

Q: Problem 5. remaining 25% are processed by Line 2. Inspectors give each pack of fillets a quality…

A: A tree diagram is a simple way of representing a sequence of events. Tree diagrams are particularly…

Q: The field of a new soccer stadium is watered by three individual sprinkler systems, as shown by the…

A: Given Data Soccer stadium is watered by three individual sprinkler system.  Each sprinkler system is…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.