4. Circle all of the choices that are equivalent to 2(t + 3) + 4 a. 2t + 10 b. 2t + 3 + 4 C. 2t + 9 d. t+t+6+4

Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: Find the Rank of B 2. 2 B= 24 2

A: According to question,Given matrix,B = 212243212

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: Find mZ1. 16. (5x + 14) 1 (7x – 12)

A:

Q: Find the product. (ód + 5)? d+: O 12d + 10

A:

Q: Let a = - 3j and b = 4ỉ + 3j + k. Find 2ā – 36. 36 = 2ā -

A:

Q: 3a+4b=5a-t

A: See this solution in below.

Q: 14. 2r + 5 x + 10 22 16

A: Find x

Q: Multiply. (5w+3)(6w²-2w+7) Simplify your answer.

A:

Q: squareroot z+8=3

A:

Q: The simpliest form of  a2-   -b2  /8a-8b

A:

Q: Let a = -j-5k and b = 27+3+4k. Find - 2a - 26. -2a - 26 =

A:

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: 8. -3x² + 6x+9

A: Solution:Here -3x2+6x+9

Q: В. Is (D+1) (D+æ) eª = (D+x) (D+1) e" ? Explain %3D

A:

Q: Find 4A + 2B. - 6 6. 8 4 A = 7 1 B = 4A + 2B =

A:

Q: 9p5+59.p4=10pr,find r

A: Solution: The objective is to find the value of r

Q: 2r +2. 4r2 + 8r + 4 r+2 12r +12

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.