1. Find the coefficient of x5y3 in expansion of the expression (x + 3y)8 2. Sixteen people attend a party. If everyone shakes everyone else's hand exactly once, how many handshakes take place?

Q: (55) Let X = P(1) and E(3x) = E(2– 6x) find 2.

A: It is given that, X~P(λ) Then, E(X)=λ

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: What is the coefficient of the x^7y^4 in the expansion of (x+y)^11

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Q: 12 Find the term of (a – 3b)" that has b in it.

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Q: 1. List the parts of the algebraic expression. 12 + 3y + 4x + 2y + 4 How mony terms are there? List…

A: We can find the coefficient and list them as below.

Q: 35. The text states: If the decimal expansions of numbers a and b agree to k places, then |a – b| <…

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Q: a) Determine the fourth term in the following expansion (x + 3y)° 5r)5

A: The posted question has multiple questions. But according to guidelines we will solve the first…

Q: 12. What is the coefficient of x³y® in the expansion of (-3x + 5y)*? a) C(13,5) · 38 . 55 b)…

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Q: 4. Find the 11th term in the expansion of 25 3r- + 5.x

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Q: (a) In (x - 3) = 7 (b) In (x + 4) + In (x- 4) = 1

A: Given(a) In(x-3) = 7(b) In(x+4) +In(x-4) =1solve for x(a) In(x-3) = 7In(x-3) =7take Ine  both…

Q: 14. Given this diagram: 12 10 11 (a) What definition allows you to conclude that 410 is…

A: Given:

Q: 3. The fifth term in the expansion of (2x + k) is equal to the fourth term in the expansion of (2 +…

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Q: In the expansion of (x + y)16 which term has the same coefficient as x14y2? O a. x12,4 Oc x3y14 O d.…

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Q: In the expansion of (x + y)14 which term has the highest coefficient ? O a. x10y4 O b.x7y7 Oc x14 d.…

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Q: 7. 7. Suppose X - N(u.4), which is true?( X- (A) N(0.1): (B) PIX S0} = 4 (C) PIX-u>2; =1-0(1): (D)…

A: Here we use the properties of normal distribution to solve this problem.

Q: 7. In the expansion of px (5+px), the coefficient of the term in x° is 3402. Find the value of p. а.…

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Q: 10 [1] Find the coefficient of the term involving x* in the expansion of (3x - a. -262444 b. -262440…

A: We have to find the coefficient of x^4.

Q: 24 + * ? 8 What is the coefficient for the yl8 term in the expansion of (5x°y²

A: We use the Binomial Theorem to answer the given question.

Q: 23 - where a and b are positive integers; How many b values are there for the condition 2a + 3b =…

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Q: What is the coefficient of x'y5 in the expansion of (1x + 3y)18? 3,15

A: Use formula of binomial expansion to solve the question.

Q: 2. What is the value of the 3rd term of the expansion (3y- 2)'? | O - 10206y O 35a+b3 20412y5 O 21a…

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Q: The 3rd term in the expansion of (y?+2/y)21 and the 3rd term in the expansion of (y+%)7 are equal.…

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Q: 21 In the expansion of (x +y), write the value of the exponent k in the term that containsr2k--4,,3k

A: In the expansion x+y21, we have to write the value of the exponent k in the term that contains…

Q: 16 45 2 Question 15 ) If ()= Lsing faclorial notation: n!nn alculatef(B Erress your answer 1)-(n 2)-…

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Q: 8. [8] What is the coefficient of y* in the expansion of (3y-2)'.

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Q: paper 2 4. INDICES AND S 2007 N Q3 (i) Express 9x+1 as a power of 3. (ii) Express V272 as a power of…

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Q: 10) Which of the following shows the solution for n2 + 2n 2 24? A) 4十 -6-5-4-3-2-10 123456

A: The given inequality is n2+2n≥24

Q: 10 3. What is the coefficient of the term in the expansion of (x+y)? U. Font Family AA A EY E 三 !!!

A: Write the coefficient of the x6y4 term in the expansion of (x+y)10.

Q: = 3 + (0.4)^, list the first three terms of {an } and E an If an

A: the given expression is an=3+0.4n to find the first three terms, substitute n=1,2,3 therefore,…

Q: 30. Find the term containing y12 in the expansion of (b + y*)". A. 25b³y12 В. 42b8y12 C. 35b*y12 D.…

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Q: in the expansion of (x^2-(1/2x))^5 ) what is the coefficient of x^4?

A: Given that  (x2-12x)5 Apply binomial theorem:a+bn=∑i=0nnian-ibiHere,a=x2,  b=-12x ∑i=055ix25-i-12xi

Q: 1 If the N(A) consists of all multiples of x = , then the rank of A 4 is: а. 3 O b. 2 O C. 4 O d. 1…

A: It is clear that from N(A)

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.

Q: Consider the expansion of ( 1/ax + x2)8 . The coefficient of x7 is 56/27. Find the value of A.

A: here we can use binomial expansion to solve this question.

Q: 2. the number of terms in the expansion of  ( (x+4y)^3(x-4)^3)^2 is? 3. The 5th term of from the…

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Q: 12. When written in descending powers of z, the third term in the expansion of (2x +w)* is 156.8a.…

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Q: In the expansion of (2r + 1)", the coefficient of the term in x is 40n, where n e positive integers.…

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Q: What is the value of Z if only 8.08​% of all possible​ Z-values are​ larger?

A: The standard normal variate is calculated when a random variable follows normal distribution in…

Q: How do you solve this?

A: Given:

Q: 10 Find the coefficient of x in the expansion of · (3x-1) "⁰.

A: Explanation of the answer is as follows

Q: 22. Divide by (*- k): -6x-16x-5x +9 *--2. O -6x - 4x+3R 3 O -6x -4x +3 O -6x -4x + 3x R 3 -6x-4x +3x…

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

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Q: If a_1=5a1​=5 and a_n=a_{n-1}-4an​=an−1​−4 then find the value of a_6a6

A: Given: a1=5an=an-1-4

Q: Which of the following is the correct expansion of (y + 1)(12y2 + 2y + 6)?

A: The given term is y+112y2+2y+6

Q: Q1. If n=3, expand µ = a"x;x¡ Q2. Write out the expression Tki (n=4) in full. Which are free and…

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Q: 24. 2n(ar31) In(3 +1)-3n(x)

A: To simplify using the properties of the logarithm the expression given below: