3.25 (a) Use a variation of the method of artificial variables that uses only one artificial variable to find an initial canonical form for the linear program in standard form with the tableau X2 X3 X5 1 -1 4 6. 1 -1 0. 3 -3 1 -1 -1 1 (b) Solve the linear program.

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: Evalaute L{2sinh? 2t} 16 16 8 а) s(s? + 16) b) 28)s 16) c) s(s² + 16) d) s(s? – 16) a

A:

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: proot p(cn ANB) - ecen B)-p(ANB) P(B) PCB).

A:

Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: Prove : (A-B)n C =(A n C) -B

A:

Q: Is it true that det(A + B) = det(A) + det(B)? If this is so, explain why. If it is not so, give a…

A:

Q: ate (8-3) 0- dg, where both c and ß are integers. -k (g-ß)²

A:

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: O Determine rand s so that, 3.

A:

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: I only need answers to (a) (b) (c)

A:

Q: B=i-3)-k , A= 31-j+k ti-B+č=0 (C) asiall asaa

A:

Q: Evaluate L-1{ S (s² + 169) (s - 2) 2

A:

Q: (B) = 10 and n(A N B) = 4, what is n(A u

A: n(A U B)=12

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: Use the union rule to answer the question. If n(A n B) = 8, n(A U B) = 34 and n(A) = 32, what is…

A: We know,      n(A U B) = n(A) + n(B) - n(A ∩ B)      => n(B) = n(A U B) + n(A ∩ B) - n(A)

Q: Let A = {1, 13, 100} and B = {7,13}. Then: (a) What is AU B? (b) What is An B? (c) What is A × B?

A:

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: Let B : and i Then (7)8

A:

Q: If A ,B are independent then P(ANB) = P(A)P(B) Select one: O True O False

A: From the provided information, The events A and B are independent.

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: 45 73 73 17 13 43 )0 (B) 2 (C) 7. (D) 8 (E) 9

A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: (22²)⁰+ (2⁰). (2²)⁰= 2 O True O false

A: Recall:  a0=1

Q: can you please provide the answers for A(4)?

A: We need to find the area A(4)

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: ele3++2) =

A: The following formulae are used in finding the Laplace transform of the given function.

Q: A number is randomly selected from the set {1,2, ·.. , 23!} (note that there is a factorial!). For k…

A: d) Given, Ak = selected number divisible by kP(Ak )=total numbers divided by kTotal numbers=…

Q: Use the following matrices and find an elementary matrix E that satisfies the stated equation. =( A…

A: The given matrices are:

Q: 6a b4 (e) 18a b?

A: To simplify the algebraic expression few points we should keep in mind: i) If two numbers are in…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.