1 -7 3 Let a, = 2 , a2= -8 and b = -6 For what value(s) of h is b in the plane spanned by a, and a,? %3D 1 3 The value(s) of h is(are). (Use a comma to separate answers as needed.)

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

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: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: 7 items chosen 5 at a time

A:

Q: 4n – 1

A:

Q: n?_4

A:

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 9/12+3/24

A:

Q: 4/11+3/8

A: Topic:- simplification

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

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

A:

Q: Expand (a −b)4

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: 1 3 8.

A:

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

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-12 (²

A: -83

Q: 4 1/2 +6 1/5=

A: We have

Q: 2/5 +7/12

A: Please see the answer below.

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: 4) /

A: Using By Parts rule of integration.

Q: nvert

A:

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

A:

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: 1/20+1/10+1/4

A:

Q: 3X 812x

A: To solve the following problem

Q: The expansion of 500P3 is

A: 500P3 is a permutation term that gives the number of ways of arranging different combinations of…

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.