30. Given X and Y below, find the product XY. -5 6 -31 -10 -2] X = Y= 3 3

Q: 23. Given that 4sinh - 2coshx = Ae*+ Be* then A and B are respectively А. 1,-3 C. -1,-3 В. -1,3 D.…

A: Topic- trigonometry

Q: 13 13 Given that 4c; = -96, find 2 (2c; – 2) j=1 j=1

A:

Q: 3/4 Given: 4 2x+ 35 Prove: x= 4

A: Given: 42x+34=35

Q: -1 2 What valuls e a, b, c,d that that mwhe this - 1 - 5 5 consitents - 2 A xc B --- ~

A: We have to check whether given system is consistent or not?

Q: 4. Given: y =21 –31 and x =u – 3u , find y'

A:

Q: 4. Find the cross product 7 x 7 given that d = (0, -4, 1) and ở = (1, 1, –2).

A:

Q: 8:36 6) 343 = k° A. Irwin to you 34s 3 8) 512 = (x + 12)² %3D 10) -5 – 4 - (81n) = -2921 3/2

A:

Q: Given: 23 = Z1 Prove: АВ АС 2 3/6 E

A: Given: The angle ∠3 is equal to ∠1. Concept used: If the two angle of a triangle is equal then side…

Q: 25 26 25 Consider 15 + + 16 The value of x is given by_ and of y is given by

A: Using addition & equality of matrices.

Q: Let a2 + y2 + z2 = 3ryz, then which of the following is 一

A:

Q: 6. If x = -4 and y = 2, then verify that. 7 (ii) - (x+y)= (-2) + Cy

A: 6 Given that x=−47and y=25. We have to verify that −x+y=−x+−y. First take left hand side -x+y…

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

A:

Q: a – b 1- āb =1 if Ja| = 1 or |6| = 1. What exception should we make if Ja| = [b| = 1?. Show that %3D

A: To prove the given statement, we use the properties of the complex number.

Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

A:

Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: If "|xsin x|dr = kT, then the value of k is equal to

A:

Q: 10. Find x and y, given that (x² + y²,4) = (25, x).

A: When the Cartesian product is performed between two sets, as a result, an ordered pair is obtained.…

Q: 3z 11 dr -2 In |r - 3+5 In r – 1 + C In |z – 3| - in z - +C In |r – 3| - in |z -1|+C 5 In |r – 3| –…

A: Simple integration

Q: What element corresponds to (2,3) of (A^T) x (B^T)? What element corresponds to (3,1) of (AxB)^T?…

A:

Q: EXAMPLE 2: Given 4XYZ with x 9.4, y = 6.5 and mLZ= 131°. Find the side z. 6.5 1310 9.4 21

A:

Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

A:

Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

A: This question can be solved using the concept of derivatives.

Q: 6. If x= +4 and 7 (ii) - (x+y) = (-2) + Cy 21 5 Page then verify that

A: Given data:- x=-47y=25 Given equation; -x+y=-x+-y

Q: 28 + 58 lim z-5i z7 – 54iz3

A:

Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)

A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 &lt; Z &lt; 2.84)=?

Q: -27 -36 81 onstruct it in R. 37, 65, 0,

A: * Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

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

A: The given coordinates are

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

A:

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: 1, Y2, · · , Y9 and it is believed that Y; ~ N(u, 16). Find P(|Y – µl < 2). ...

A:

Q: Y = -2X, then p(X, Y) = 1?

A: Solution

Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

A:

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

A:

Q: Simplify #28

A: The known fact is that

Q: 3. Let A, BE M2(Z3) be given by [1 2] B 0 2 A = 1 Find AB, BA, and A? (recall that A2 = AA).

A:

Q: In(2 + x – 2y2 – 3z), 7 =, then If f(x, y, z) Duf (2,-1, 1) = - A) 11

A:

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

A:

Q: at is wrong with the following equatlon: 8 + (6/2) = 17 -5 %3D A The symbology is not standard so…

A:

Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: X1/3 - If X, ~ Xỉ ,X, ~ Xỉ and let Y = then X2/4 117

A:

Q: 4. Show that if ki = (X; - X)/[Σ(X; – X)2], then (a) Σki = 0; = (b) Σk? = 1/[Σ(X; − x)2]; (c) Σκ;(X;…

A:

Q: у" — 2у' + у 3 et x5 when y(0)=1; y'(0)=2

A:

Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди ди 2x - y- əx ду

A: Given u=x2coshxy2+1

Q: Let X,Y⊆UX,Y⊆U. Suppose that n(X)=26n(X)=26, n(Y)=24n(Y)=24, and n(X∩Y)=20n(X∩Y)=20. How many…

A: To derive the number of elements in the set X' union with Y , from the given data

Q: 4 Given that (5A ) -3 -17 52

A:

Q: 8(7a+3)=304

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.