1. The area of the triangle is 141.9 square units, Find the height to the nearest tenth. 22 14 21 A = 141.9 units² 2. Show your understanding with words! OI will explain which techniques I can use when I have missing information when I am trying to find the area of a polygon.

Q: 8-9 Let A = 2 3 (a) Find 5A +6B. 5A +6B = and B= 9-2 Complete parts a through d.

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Q: 10. Simplify and express in terms of i: 5V-4 + v-I- 2/-9

A: Answer is mentioned below -

Q: 4 -5 - 2 – 2 1 1 3 Compute: 2 5 3 5 5 3 2 0 -2 4 3 Preview

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Q: 2 3 Use the substitution scheme and the matrix 1 4 7 L2 3 61 Code the message "Engineering".

A: The below table is used for encrypting and decrypting messages. Alphabet A B C D E F G H I…

Q: x- y+10z = 29 x+ y+2=6

A:

Q: -4 -4 -1 1 -2 If A = 5-5 and B compute AB and BA, if possible. -2 -1 -2 -1 -4

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Q: 6. What 3 x 3 matrix exchanges rows 1 and 2, but leaves row three alone?

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Q: [ 5 8 . Determine x and y if: ]3 4] 23 34

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Q: 4 -2 1 -2 A = -3 1 -2 3 1 -1 -1 determine the following entries: a32 = a21 = a13 %3D

A: Given matrix is A = 4-21-2-312-231-1-1

Q: Find Reduced Row Echelon Form

A: Solution: The objective is to find the row reduced echelon form of the given matrix

Q: 1 -4 -2 B = |0 3 2 0 1 2. A = -1 4 1 -1 2 0 1 4 Find: 1: A.A1-B2 2: BT.B1+A?

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Q: 1. Perform the following operations A+B A - B 2A-B A = 32- -11 [0 2 1] 5, B = 5 4 2 2 1 0 2 4 0 1 2

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Q: 8 -9 9 -2 LOMA- [2 ²3] and B-[37] Let = B= 1 (a) Find 5A + 6B. 94-57 5A +6B = 28 21 (b) Find 6A-5B.…

A: Addition and subtraction of Matrices

Q: 5. Find 5A-3B. [6-5 8 [7 5-61 B 4 3-4 5 -4 3

A:

Q: |h -4 -2 10 h -9 4 Find an LU factorization of A=| 0 h=102 -4 0 1 4 4 h/2

A: A=102-4-210102-94200-42014400051 In this problem, we have to find matrices L(lower triangular) and…

Q: – 4 1 -2 2 Compute:

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Q: 2 1 -1 1 -2 3 2 1 -1 -2 1 3 2 -1 1 2 2 If A = show that -2 1 (A +B)² A² + AB + BA + B² %3D

A: Given, A=21-11-23-212 , B=1-12-2132-11

Q: 4 -2 Compute A - 213 and (213 )A, where A = -3 2 - 5 - 4 A- 213 =D 4- 2. 2.

A: Consider the given matrix as, 4-24-32-5-422

Q: X = A + 3B, 1 A= -1 0 5 -1 -1 -4 3 2 2 B= 1 -2 -2 -3 3 -3 3-5 X = 2(AB+C), (1 2) (:)-(C) B= 1 0, C=…

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Q: 3 . If 4C + 2 [10 0 , find C. 4 2

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Q: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

Q: If v-28 is subtracted from V-63, the difference is A i B B iv7 © -iv7 V-35

A:

Q: O Multiply O x+1 ○2-5 I I x-+-5 3x+2 x+4 2x-11 x+3 2x²-7x-15 x²-25 x x²+x 2x2+5x+3

A: We need to multiply2x2-7x-15x2-25×x2+x2x2+5x+3

Q: 4 -3 0 Let A = 3 -2 0 Diagonalize A and find A231. -4 2 -1

A:

Q: X = A +3B, 1 A= -1 5 -1 2 0-3 X = 2(AB+C), A= 2 , B = 1 3 -3 (30-1 (1 2) +4)-(3-49 B= 1 0, C= 0 6…

A:

Q: [1 -2 -1] Let A- 2 4 l3 0 -2 -1 3 and B- 3 2 . Express the second column of AB as linear…

A: The objective is to express the second column of AB as linear combinations.

Q: Compute: -57 5 + [ 5 0 -1

A: Given data

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC,…

A: (BA)T - ATBT + AC = AC In LHS, We know that, By the properties of Transpose, (BA)T = ATBT .…

Q: -5 1 -5 Let A = -4 ,B = -5 -1 3 1 Compute: 4AT + B

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Q: Multiply. (z-4)² O None of these Oz²-82-16 z² +8z+16 Oz² +16 z²-16

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Q: -4 -1 1 Identify the elements on the main diagonal. 11 2 0 5 -6 -7

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.