2. For all sets X and Y, prove the given statement by the indicated method. (a). Method of algebra: (XC U(Xc – Y))° = X.

Q: Given: WZ 1 bis. XY Prove: AWXY is isosceles. (Hint: This proof can be written in three steps by…

A: 2. given  WZ↔ ⊥bis XY¯ as WZ is bisector of XY XZ=ZY......(1)

Q: Given: AABC is right isosceles. X is the midpoint of AC. AB = BC ty A(0, 2a) Prove: AAXB is…

A:

Q: If W(-10, 4), X(-3, -1), and Y(-5, 11) dassify AWXY by its sides. Show all work to justify your…

A: Given,           If W-10, 4, X-3, -1, and Y-5, 11 of ∆WXY.

Q: ?, R(A)IN(A*)

A:

Q: 1. Show that S, has the presentation (x, y|x² = y = (xy)² = 1). %3D

A: The symmetric group S3 is given as S3=I, 1 2, 1 3, 2 3, 1 2 3 1 3 2 where  I=123123, 1 2=123213, 1…

Q: If 0 is the acute angle between the planes x + y = 2 and x + y +2z = 6, then 2cos (e) = O 1 O 1 O 2…

A: Given equation of planes are x+y-2=0 and x+y+2z-6=0 Let Let A1 x + B1 y + C1z + D1 = 0 and A2x + B2y…

Q: If 0 is the acute angle between the planes x + y = 2 and x + y + /2z =V 6, then 6cos (e) = O 3 O 2 O…

A:

Q: thus. d the point on he sphere X+y?+=4 Selution:- ans.-

A: We use Lagrange Multiplayer method.

Q: What is the image of the vertical strip  {zϵC:−1<Re(z)<1} under e^z

A: A  conformal map is a one-one and onto analytic map. So, Re(z)=1 to a point. Here f1 is defined by,…

Q: 5. Which of the following sets S are polyhedra? If possible, express S in the form S = {x | Ax 3 b,…

A: Given set is S=x∈ℝn:x≥0, 1Tx=1, ∑i=1nxiai=b1,∑i=1nxia2i=b2, ai∈ℝ, b1,b2∈ℝ Clearly S is defined by…

Q: O Let X,X. X3 beasamPle of size n=3From the Bernolli Pmf Assune Ti ヒ(X、メ,メ) X、+メz+Xg and こ I= X,X t…

A: Using the Neymann factorisation theorem we can find out the sufficient statistic.

Q: [2 Lo 2. and defined T: R² → R³,by T(X) = AX. Let A Find the images under T of u = |E|, and v =

A: Given a linear transformation T:R2→R3 by T(X)=AX where A= 2002

Q: The dimension of the set W = {(2t – s, s, t) : s, t e R} of R is equal to: %3D

A: The dimension of the set W={(2t-s,s,t) : s,t ∈ R} of R3 x=2t-s y=s z=t (t,s) ∈ R   This can be…

Q: b- Let X₁, X2,.... Xn b (a) Find a complete (b) Find the UMVU

A: Solution:   (a):

Q: Determine the measure of the interior angle at vertex F. 4x 4x 4x 4x 2х 2x F A OA. 54 Ов. 36 Ос. 108…

A: Interior angles polygon is given

Q: and Z , if y=0 Solue %3D By using Direct melh oel.

A:

Q: Let X; ~ X"(1) i= 1,2, . - ·, n and assume they all uidependent are Y = Ź Xi %3D しニ」 ان منتتفينتمنل…

A: Given, Xi~χ12 ,i=1,2,...,n a. Y=∑Xii=1n Therefore, X1+X2+.....+Xn~χn2 above is possible using…

Q: Find r, s, and t so that (a) z = 1 2 x, (b) z + u = x, (c) z − x = y.

A: Given  And z+u=x and z-x=y. We need to find the value of r , s and t.

Q: #6

A: We know that a Gamma density function is: So E[X] is:

Q: 2 Let A B = -1 |0 and C = 7 Find x, y,z | 2 -3 such that AB =C.

A:

Q: Is the set S= {I E R² | e21+2=2 >1} convex? %3D

A:

Q: The norm of the set {cosh(i nn x},n E N, –-2<x<2 in the Hermitian sense is:

A: Given,                  cosi nπx, n∈ ℕ, -2≤x≤2

Q: W Given: OWXYZ with diagonals WY and XZ Prove: 21 = 22 2

A: Given: In figure  WXYZ is a rectangle with diagonals WY and XZ. To show: ∠1≅∠2

Q: O Gven rref(A), -[!!] and A represents for mation →R; Tlu)-Au. Imear trans- Ti R State all rectors…

A: How to calculate the range of the operator T, whose corresponding RREF of the matrix is…

Q: Y is neither on the interior, nor the exte Y lies in the interior or in the exterior of Y lies on…

A: In this question we will use basic of algebra. We will use basic concept of interior angle and…

Q: 1. In R2, what is the dual cone V* if the primal cone V is V %3D {y1 (-3, -4) + у2 (1, -3) |у »3 0}

A: Given: V={y1(-3,4)+y2(1,-3)|y&gt;=0}

Q: Is the set S = {1,, 3, ...} with metric d(x, y) = |æ – y| for all x, y e S complete ? prove your…

A:

Q: YZ is the base of an isosceles triangle; XA || YZ Z1 = 2 Given: Prove: A 2

A: Given: YZ is the base of an isosceles triangle XYZ. YZ is parallel to XA as shown in the given…

Q: If (a + bx)e = x, prove that x’y, =(xy,-y)

A: Since you have asked multiple questions , we will solve first question for you. If you want any…

Q: The diagram shows a vertic with W, Y , and Z as points the flag (X) from Z given X.

A: To find the angle of elevation.

Q: Given y, = Bo + Biyt-1 + €; and e, i.i.d. N(0, o²), compute: (b) Var(y,).

A: Given information: In the given model the current period is predicted on the basis of its preceding…

Q: Decide if the statement is True or False. Justify your ans why not, and give an…

A: a) The poset (P(Z), ⊆)

Q: Polnts C, D, and E are collinear on CE, and CD: DE =. C Is %3D located at (1, 8), D is located at…

A:

Q: 3. Let r be the radius of the circle inscribed in a right triangle with legs a and b and hypotenuse…

A:

Q: Let H = H4 U H, be the class of "positive" and "negative" circles in R² (the "negative" circles are…

A:

Q: 2. Which of the following statements is TRUE about rectangle WXYZ. X z, 10 Figure 1 WV = VZ XZ XY O…

A: Given query is to find correct statements for the rectangle WXYZ.

Q: Given4ABC, let P,Q, andR be points on sides BC,AC, andAB, respectively, with RQ∦BC, and so that…

A: Consider the equation

Q: Given: WZ YZ, wx YX Prove:4 WZX <YZX Statements Reasons

A:

Q: 5. Given: C is the midpoint between C Prove: B E I

A:

Q: AABC has inradius r, altitudes of length ha, hb, hc, and exradii ra, b, c. 1 1 1 1 + ra r (b) Prove…

A:

Q: 6. In AABC, points X, Y and Z are on sides CB, AC and AB, respectively, so that cevians AX, BY and…

A:

Q: a) Suppose that you wish to prove that ARST = ASRV. Using the reason Identity, name one pair of…

A: Given: We wish to have the triangle RST and triangle RSV to be congruent.

Q: 6. If UV bisects XY at point W, which statements must be true? Select all the true statements. (A UW…

A:

Q: What theorem shows that GTY = GUX? Osss O SAS O AAS O ASA

A: We have to check

Q: Define g : Z → Z × Z by if t is even if t is odd S (t, t + 3) g(t) = I (t, 2) Is g injective? Is g…

A:

Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x

Q: y (b, f (b)) (a, f (a))

A:

Q: Describe geometrically the set of points z satisfying the following condition:|z−2i|=3 .

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.