The coefficient of in the expansion of 1 (x+ + 1)7 is the sum of n multinomials. What is n? 3 1 4

Q: Use the Binomial Theorem to write the expansion of the expression. (r + 3s)3

A:

Q: The coefficient of x12y 12 in the expansion of the expression (2x³ – 4y2) 10 is given by

A: Here, we have to find the coefficients of x12y12 in the expansion of 2x3-4y210 Consider the binomial…

Q: 4. Use the binomial theorem to expand the following expressions. a. (x + 2y)* b. (2x – 1)5

A: We can solve this using binomial theorem

Q: For the binomial expansion of (2x-3)^6, what is the coefficient of x^4?

A: Given data- We have given the expression (2x-3)6. We have to find the coefficient of x4. We know the…

Q: (4) When the dividend 2x³+x²-3x-6 is divided by the divisor (x + 1), the quotient is 2x² -x-2 and…

A: Properties of the polynomial If p(x) is any polynomial and (x-a) is the factor of the polynomial…

Q: largest number coefficient in the expansion of :(2-3x)^15

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Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the coefficient of a3b9 in the binomial expansion of  (36a - 1/6 b)^12

A: Answer

Q: Determine the coefficient of a6b2 in the expansion of (a + b)8 by using the Binomial Theorem. That…

A: To find the coefficient of a6b2 using binomial expansion

Q: . Use the Binomial Theorem to identify the coefficient of x5 in the expansion of (2x + 3)5. А. 24 В.…

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: In the expansion of (2x+1)n , the coefficient of the x2 term is 40n , where n is a positive integer.…

A: Given (2x+1)^n The solution is given below in the next step

Q: N(x) = x² - 2x 5 N(X)=x²-2x-5 N of N

A:

Q: 3. Find, in descending powers of x, the binomial expansion of (2 – r2)5

A: 3. In this question, we need to determine the descending powers of x in the binomial expansion of…

Q: 1. The number of courses that Felix takes in this cycle is numerically equal to the number of prime…

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Q: The third term of the (x-3y)5 of the following binomial is:

A:

Q: a) Determine the value(s) of k so that the binomial is a factor of the polynomial. x² – 6x – 7, x+ k

A: a) Given

Q: Find the value of k such that x-3 is a factor of x^3-kx^2+2kx-12.

A: Given that, x - 3 =0 And x3 -kx2 + 2kx -12 = 0

Q: Find the coefficient of x¯² in the binomial expansion of 9 15 323 x²

A: According to the binomial theorem for an expression of the form x+yn, the binomial expansion would…

Q: 10. If the volurne of a box Is represented by the expression (x-3x2-10x+ 24) cm³ and its width Is…

A: We have to solve given problems :

Q: In the expansion of ( 2x + 3 )°, find the sum of the coefficients of all the terms.

A: Consider the provided binomial expression. 2x+38 The expansion of the given binomial expansion is…

Q: Use the Binomial Theorem to write the expansion of the expression. (2√t-3)³

A:

Q: Use the binomial formula to find the coefficient of the q^2 y^21 term in the expansion of (2g -…

A: Given binomial expansion (2q-y)23. We need to find the coefficient of the term q2y21. For an…

Q: Use the Binomial theorem to find the coefficient of xayb in the expansion of (2x2−5y3)6 where a=8…

A: We have to find the coefficient of x8y6 in the expansion of (2x2-5y3)6 by using Binomial theorem.

Q: 28. Give the formula, in factored form, of the polynomial p(x) whose graph is shown below (2,0) Нх…

A: Given graph of P(x),From the graph, we can say that it is a cubic polynomial.

Q: Find the specified nth term in the expansion of the binomial. (x - 8y)5, n = 3

A: Given (x - 8y)⁵, n= 3 We have to find the specified nth term in the expansion of the binomial.

Q: Find the coefficient of the indicated term in the expansion of the binomial.   x7 term of (x − 4)9

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Q: Expand the expression using the binomial theorem. (x- 3)4 (x - 3)* =D

A:

Q: Find the specified nth term in the expansion of the binomial.   (x-7y)5, n=3

A: To find the nth term in the expansion ofthe bonomial x-7y5 , n=3

Q: 3. Find k such that x 1 is a factor of x-2x- 3kx?+ 1 = 0. -

A:

Q: Find, in descending powers of x, the binomial expansion of (2 - a2)5

A:

Q: 4. Which integer values of a should be chosen to test for binomial factors of the form x- a of the…

A:

Q: Use the Binomial Theorem to expand and simplify the expression 2(x- 3)4 + 5(x - 3)² Select one: O a.…

A:

Q: 2 If k is a constant, what is the value of k such that the polynomial kx – 6kx + 9 is divisible by…

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Q: In the Binomial Theorem expansion of (2x - 5)¹², identify the term containing the coefficient of x5…

A:

Q: What is the coefficient of r* in the binomial expansion of 1 (1 – 32?) Give your answer as an…

A: Given function is 1/(1-3x2).

Q: 1. Use the Factor Theorem to determine whether the given binomial of the form x-c is a factor of the…

A: We have to determine given factor is a factor of given polynomial.

Q: 32. If k is a constant, what is the value of k such that the polynomial k2x3 - 6kx +9 is divisible…

A: If the polynomial is divisible by -1 then the remainder will be 0.

Q: 1. Find the value of k if x- 2 is a factor of the polynomial p(x) = kx2 – 5x + k %3D

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Q: Expand the expression using the binomial theorem. (x - 3)4 (x - 3)* =D

A:

Q: You should enter the coefficients of the powers of x of the sum in the boxes. 7(-2x? – 9x – 7) – 7…

A:

Q: Find the indicated coefficient or term. The coefficient of x in the expansion of (3x+2)^5

A: Binomial theorem expansion of is

Q: The polynomial 3x^4-2x^3+x^2-k is divisible by x+1. Find k.

A: Given:- p(x)= 3x4-2x3+x2-k, given polynomial p(x) divisible by x+1 To find:- value of k

Q: 1. What is the coefficient of x7 is the expansion of (2x°+20 ? [if the answer has a form like…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems. ** Though it…

Q: Use the Binomial Theorem to find the coefficient of the r"y" term in the expansion of (2r – y)12

A:

Q: WHAT IS THE COEFFICIENT OF X^7 IN THE EXPANSION OF (X+2)^15 + X^4 (X+3)^19

A:

Q: Determine the coefficient of the 5th term in the expansion of (n – 2m)'.

A: n-2m7Apply binomial theorem:  a+bn=∑i=0nnian-ibia=n,…

Q: Determine if the given binomial is a factor of the polynomial, yes or no P(x) = x 3 + 11x - 20 by x…

A:

Q: Give the vale of the remainder when p(x)=x3-4x+12 is divided by x+3.

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

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!