If the binary operation * is defined on a set of ordered pairs of real numbers as (a, b) * (c, d) = (ad + bc, bd) and is associative, then (1, 2) * (3, 5) * (3, 4) equals Select one: (74,40) a. ов. (23,11) O . (32,40) O d. (7,11)

Q: 21 2. 6.

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Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: #1 only

A: Amarjeet 2mr find x.

Q: 30 Evaluate (1 + i)

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Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 4n – 1

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Q: 1 1 dx 3 5 x +x4

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Q: Find the coefficient of x5in the expansion of (1 – 2x + 3x2)5

A: I have solved Algebraically

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

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Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral.…

A: In this question, we will find the given integral by using the trapezoidal rule, Simpson rule and…

Q: 50/21 simplest form

A: Compute the simplest form of 50/21.That is, divide 50 by 21.

Q: Find the 7th and 11th term of the expansion (y − x)^14

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Q: 1 3] [1 3 3 0 -1 2. 30 2

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Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

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Q: [ 8x³(4x² + 1)12dx

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Q: find the slopet y-intercept the line 2.

A: Given equation of line is  2x+3y=24

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: 36 70

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Q: In the expansion of (x + 4/x)12, find the term without x. a. 63 360 C. 506 880 b. 126 720 d. 3 784…

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Q: 29 Using the combination formula expand (5+x)

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Q: Prove that n² +n is divisible by 2, where n E N.

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Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

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Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

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Q: 3X 812x

A: To solve the following problem

Q: efind the intergrationa

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Q: 3 S x²_9

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.