4). Find the number of elements in each region of the Venn diagram: n(U)=42, n(A')=15, n(AN B) = 20, n(B) = 30

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A: Chi square test for independence: Chi square test is used to test whether the two categorical…

Q: 5. Evaluate ry dV where R is the tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), (0,0, 3)

A: Volume Integral need to be solve

Q: 7. Consider the diagram of the net attached:

A: Given,

Q: 8) Salve the limuur homegeneous system with the imiter l condibion ] and xl0) - [ 13 ] -13

A: We will find out the required solution.

Q: " (a) The following table gives the number of defects in carpets manufactured: Carpet Serial No. : 1…

A:

Q: Find 3xyd A A over the triangular region D with vertices (0, 0) (2, 0), (0, 4)

A: Given ∫∫3xy dA Over region (0,0)(2,0)(0,4)

Q: 2. How many female rabbits are required in the population for at least 13 offspring (R) to survive?

A: Given that R=13 Find F? R=3+(350F)/(F+625)

Q: Find –3xyd A over the D triangular region D with vertices (0, 0) (2, 0), (0, 4)

A:

Q: Compute I ds over the path C : ř(t) = (t², 2t, t²) from (0,0,0) to (4, 4, 4).

A: Given path is:

Q: n) the Integral evalu ate car 1- (X² +3) e Xdx

A: Given integral Apply integration by parts formula to integrate

Q: Example 52. Compute D, D, and D, from thẻ Jollow 30 Marks 10 20 40 50 80 No. of Students : 15 18 7…

A:

Q: Let Y - Wei(2,2) Compute V(Y). O 3.1416 O .8584 (answer) O -2.1416 O 4.1416 Let Y ~ W ei(2, 2)…

A: The variance is calculated as follows:

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

A:

Q: Let D be the red region in the below figure. -14 -24

A: Volume

Q: 3.5 30 21 Not drawn to scale. O SAS- Theorem O SA- Postulate O SSS- Theorem O AA- Theorem

A: There are 2 theorems for similiar triangles. SSS and AA theorem

Q: Consider the region D in t

A: Given, the curves                 y=2x, y=4x, y2=x, and y2=3x To find ∬Dx2x4dA

Q: P (D or N). P(D’ or N’) P(D or N’)

A:

Q: Compute I ds over the path C : ř(t) = (t², 2t, t²) from (0, 0,0) to (1, 4, 4).

A:

Q: C. The following data are the number of defects per spool of cable ORSERVATION E2E9 3 11 12 13 14 23…

A: We have given, Number of defects per spool of cable We have to find conclusion for median and up…

Q: 2) Given: ZRAL E LYAL, ZRLA LYLA A Prove: AR = AY R.

A: Explained below

Q: 2. What is the size of the observed difference between the means for Groups A and C? (Subtract the…

A: It is given that Mean for group A = 2.000 Mean for group B = 2.250 Mean for group C = 6.500

Q: Compute S S SB r dxdydz, B = [0, 1] × [0, 1] × [0, 1]. (Answ: 1/3)

A: We are given B=[0, 1]×[0, 1]×[0, 1] to compute ∫∫∫B x2 dxdydz

Q: 2. Solve the given SLE using LU-Factorization X, + x, +xz = 3 x, - x, +4x; = 4 2х, + 3x, — 5х, %3D0…

A:

Q: Compute the Wronskian, W[y1, y2](t).

A: Let y1(t) and y2(t) be two differentiable functions in the independent variable t. Then the…

Q: Let D be the red region in the below figure. y Then ff, -3dzdxdy is Onegative )equal to zero…

A:

Q: Use the given information to fill in the numbers of elements for each region of the Venn diagram. U…

A: Given, n(A) = 42n(A∩B) = 17n(A∪B) = 56n(A∩B∩C) = 5n(A∩C) = 12n(B∩C) = 9n(C) = 32n(B') = 50   To…

Q: 6. Sketch reject regions for each of the following situa Halt twith df= .01 M Hnyp Situation 2 .01…

A: Suppose for each sample size of a statistic is computed for the null hypothesis, some values of a…

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

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The coordinates of the holes on the plate. x (in.) y (in.) 2.00 4.2 4.25 5.5 5.25 5.8 7.81 6.2 9.20…

A: From the given information,  x0=2,x1=4.25,x2=5.25 and x3=7.81yx0=4.2, yx1=5.5,yx2=5.8, and yx3=6.2…

Q: 1. Classify each of the following regions as Type I, Type II, both, or neither. (b) (c) (d) y=(x+ 1…

A: We need to classify the type of region for given curves.

Q: 40. In isosceles AMNP, MN = MP. With point Q on MN, MO = QP = PN. Find mZM and mZN. Q 384.

A:

Q: 4. Calculate SStotal, SSpetween» and SSwithin for the following set of data: Treatment 1 Treatment 2…

A:

Q: Let Y,, Y2, .., Y,~iid N (µ, o²) Find the MLES of µ,o? ....

A: Given Y1,Y2, ..., Yn~Nμ,σ2

Q: Assuming that workers' salaries in your company are uniformly distributed between $10,000 and…

A: Given Data: Let X represent workers' salaries in your company.   X~ Uniform (10000, 50000)   Let y…

Q: What is the minimal number of remaining votes Tate needs to be assured of a win?

A: We just need more votes from other apart from more votes than all other candidates combined…

Q: The following table represents gas well completions during 1986 in North and South America. Source:…

A: Given information: The table that represents gas well completions in North and South America is as…

Q: 4. A spinner has 4 equal-sized sections labeled 1 through 4. In 25 spins, the spinner lands 5 times…

A: Given that there are 4 equal-sized sections numbered 1 through 4.  So each section has equal…

Q: Find all.the thivd.partial..devivatives.. a b c

A:

Q: Suppose that production of 1 unit of mining requires 3/5 unit of mining, 1/5 unit of manufacturing,…

A: In a Closed Model, we have the following: 1) In this model, all the consumption takes place inside…

Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: Find ff 3xydA over the triangular region D with vertices (0,0) (2,0), (0, 4)

A: We will solve the problem

Q: c) Compute µr, Hy, Ož, o, Cov(X, Y), and p

A: Reviewing information, Given pdf is, f(x,y)=x+y                 ; 0≤x≤1 ,  0≤y≤1

Q: (2.13) Compute Lp(t), where P is the regular tetrahedron with vertices (0,0,0), (1,1,0), (1,0,1),…

A:

Q: Find the area of the inner loop of r = 3 + 4cose.

A:

Q: b) Give a partition which divides I = [1,2] into n equal parts. %3D

A: Consider the Interval  [1,2]

Q: Assume that the 160 students who take this exam will receive one of 24 grades. i What does the…

A: PIGEONHOLE PRINCIPLE: According to this principle, if n objects are kept in m containers such that…

Q: (11) Evaluate |/| 4rydV where E is the region bounded by z = 2a2 +2y? – 7 and z = 1 as shown below;…

A:

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…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.