6) The following table shows the height H, in inches, of a boy who is t years old. := age 13 17 21 H = height 37.26 49.68 61.32 68.41 71.62 Use averaging to estimate the boy's height at age 15. Round your answer to two decimal places. a) 129.73 inches b) 64.50 inches c) 44.44 inches d) 64.87 inches

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: 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: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: b. N(0)

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

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: 6 2/5 + 1 3/10

A:

Q: (5V3)2

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

Q: 5/14+1/6

A: 514+16=15+742

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

A: I have solved Algebraically

Q: 22n+1 3n+1 2.

A:

Q: expand (a-b)7

A: The solution is given in the next step.

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

A:

Q: find  3/4 + 1/8

A:

Q: 9/12+3/24

A:

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: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

Q: ne binomial:

A:

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

A:

Q: Use the simplex method to solve the linear programming problem. z = 5x, + 2x2 +x3 4x1 +4x2 +…

A:

Q: 10. 15gr, 20s

A: Given

Q: What is the 5th term in the expansion of (2x²y³ – ¹y)° O 14.25x7 y 20 15.75x10 y 19 15.05x¹0y17…

A: Given: 2x2y3-14y9=2x2y3-y49

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

A:

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

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

A:

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: Find A.

A: Given

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

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.