What is the number of derangements D4 of the set {1, 2, 3, 4}? (Give the exact

Q: is this a fucntion or not. given its domain and range   {(1,2), (1,3), (-1,4), (-1,5)

A:

Q: Let S = Span}( 3 2 3 . Show that dim(S)=2. 3

A: Basis: Let V be a subspace of ℝn. A basis of V is a set of vectors v1, v2, ..., vm in V such that:…

Q: What two nonnegative real numbers a and b whose sum is 23maximize a2 + b2? Minimize a2 + b2?

A: Given that real number a and b whose sum is 23ie   a+b=23⇒b=23-a-1Let S be the sum of their…

Q: Due to the high incidence of crime, a company is giving its employees new and secured access to the…

A: Let event A denotes that the door should be open when a card is inserted and the event B denotes the…

Q: (k+1)! −1+ (k+1) ( K+1)! (k+1)! [₁ + (k+1)] = = (k+1)! (k+²) -1 (k+2)! - 1

A: Introduction: Factorial is a very important symbol in mathematics. It is always applicable to any…

Q: Do intervals (0, 1) and intervals (a, b) have the same strength? Why is that?

A:

Q: C) = (*,') + "- ), Give an interpretation involving subsets. Problem 4) Prove that

A: See the hand written

Q: Match the set on the left with its size on the right. O Instructions (0,0) The set of letters in the…

A: The cardinality of a set is the number of elements present in that set. Let P be a set, then the…

Q: A box contains 5 yellow, 8 green, 11 blue, 11 purple and 15 white balls. What is the minimum number…

A: Number of yellow balls = 5 Number of green balls = 8 Number of blue balls = 11 Number of purple…

Q: A box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls. what is the minimum number of…

A: Given that a box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls.

Q: 4) State the condition for equivalnce for measurable set. being a lebesgue

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: Provide solution from the given problem on Pigeonhole Principle. Problem: In a room of 499 people,…

A: The given problem is: In a room of 499 people, there exist two who share a birthday.

Q: 4) State the Rank-Nullity Theorem.

A: To state: Rank - Nullity theorem.

Q: How many strings of length 12 have at least three y's if the strings have. x's or y's?

A: The solution is given as follows

Q: Find the aven bounded by y=x and y =x+2

A: First draw the graph of the function and find the intersection point of the graph:

Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: There are 4 major roads from city x to city y and 3 major roads from city y to coty z. How many…

A:

Q: What is the wronskian of cotx, cot2x, cosec2x?

A: We will find out the required value.

Q: find rank(AT) and nullity(A)

A: Rank of A = rank of A^T use this relation

Q: A box has (4) balls. Choose (2) balls one by one with replacement, x is the first chosen and Y is…

A: Given information: No. of balls=4Selection=with replacementNo. of balls to be selected=2

Q: Give the 5 correct conclusions from the diagram

A: Given:

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

A: 7 ways

Q: How many Lettuce paths from a to b avoiding the blue squares

A: Let us consider a 2*2 box for example. It is part of the big square.   Let say the present location…

Q: (а, b, с, d, е, I, 8, h, 1, J А%3 {а, b, с, f, g, j} Find each of the following: В 3 {а, с, е, g,…

A: As per bartleby guideline if more than three subparts asked only first three to be answered kindly…

Q: what is the y-intersept of y=5

A: Compare with y=mx+c where slope is zero and y=5 is y intercept

Q: Express (4, 10) as a set {x : |x − a| < c} for suitable a and c

A: Write the given interval in inequality form as follows: 4<x<10

Q: see the equation as attached here

A: Solution:Given    0<an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: An operation * is defined on the set R by x * y = x +y+ 6 where x, y are elements of R. What is…

A:

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 7…

A: Given information 8 locations 7 deliveries needed 7 deliveries among 8 location is to be made It is…

Q: In the vegetable garden, there are carrots. Rabbits eat 1 of every bundle of 4. If you pick 5…

A: Solution : Let, X : No. of bundles p = Probability of eating a bundle = 0.25 p = 1 - p     = 0.75 n…

Q: If the mean of 5 positive integers is 15, what is the maximum possible difference between the…

A:

Q: in a survey of 320 test takers, 60 students used both techniques to relax, 200 students used deep…

A: In a survey of 320 test takers, 60 students used both techniques to relax, 200 students used deep…

Q: I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red balls labeled…

A: The events are occurring simultaneously. So,  Total combinations=combinations for green…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Combination:Combination is defined as the selection of all or part of a set of objects, without…

Q: In Exercises 13–16, find and sketch the level curves ƒ(x, y) = c on the same set of coordinate axes…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 3…

A:

Q: - Suppose itat ". *, are foot chebjshev poy nomial T,So detdmin irtelpola ting rol, nomal -f Tthe…

A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

Q: Let X~ Binomlal (n, P) Find ECx3) by Central moments.

A:

Q: If In a + In(x- 5) = In(2x), then x = Show your work on paper. Use the space below to upload a…

A:

Q: Is it possible to plant 10 trees in 10 straight rows with 3 trees in each row? Hint: Desargues says…

A:

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 6 locations…

A: Since the order of these 6 chosen locations will matter, hence the total number of routes can be…

Q: Let us assume that we have a small internet only consisting of four web pages: 2 4 An arrow from…

A: Solution

Q: Use different ways to show all possible combination in this situations

A: Here use different ways of representing a total possibilities Here use listing , table, and tree and…

Q: Alice has 10 balls (all different). First, she splits them into two piles; then she picks one of the…

A:

Q: To complement the other paintings, you can make a painting with different geometric shapes: Choose…

A: simply make drawing by assuming values corresponding to limits

Q: A company has 13 employees, and wants to create a team of 7 employees to work on a new project. Th…

A: Given : n = 13  r = 7

Q: 4 For this problem, assume there are 10 adjacent seats in a row. How many different ways can 10…

A: the number of arrangements or ways  r people seated n adjacent seats row  =nPr =n!/(n-r)!

Q: The technique of boxing in a triangle and determing its area by using rectangle and right triangle…

A: Let ABC is triangle with vertices, Ax1,y1,Bx2,y2,Cx3,y3. WhereDx1,0, Ex2,0, Fx3,0 are points on…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.