Problem# 6: A player tosses two fair coins. He wins $5 if 2 heads occur, $2 if 1head occurs and $1 if no heads occur. (i) Find his expected winnings. much should he pay to play the game if it is to be fair? (ii) How

Q: What is the coefficient of x²wa³b in the expansion of (x+y+w+a+b)??

A: To determine the coefficient of x2wa3b in the expansion of x+y+w+a+b7.

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 21 2. 6.

A:

Q: Using the Binomial Theorem & Pascal's Triar expand the binomial, (a - b)* A. a -4ab3 + 6a?b? - 4a³b…

A:

Q: How many terms are there in the multinomial expansion of (x₁ + x₂ + ...........+xr)n?

A: Multinomial expansion :  (X1 + X2 + X3 + ......Xr)n  We have to calculate no. of terms in this…

Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 2/5+4/8

A: We have to find the sum

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

A:

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: Select and order the steps to prove the special product pattern for the square of a binomial. Step…

A: A square of a binomial is of the form (c+d)2  We first write it as a product (c+d)(c+d)Then we…

Q: 3 1/4 + 7 1/8

A:

Q: (5V3)2

A: Explanation of the solution is given below...

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

A: I have solved Algebraically

Q: n?_4

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

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 binomial theorem (more than once) to expand (a+b+c)³.

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

Q: Factor 10k + 1 into a product of primes for k = 1, 2, 3, 4, 5.

A: The main objective is to factor p(k)=10k+1 into product of primes for k=1,2,3,4,5.

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

A:

Q: 7. How many terms are there in the multinomial expansion of (x₁ + x₂ + ... .+x)"? ******..

A: We want to find the number of terms in the multinomial expansion of x1 + x2 + ... + xrn

Q: factors of 20 that add up to 9

A:

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: -3n in

A:

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: (3) Find the prime factorization b. 180

A:

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

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

A:

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: 22 7/8 - 7=

A: Given,

Q: nvert

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…