If a = b (mod n) and b = c (mod n) then which of the following is true. (a) a = c (mod n) (b) a? = c2(mod n) (c) a - b = c- b(mod n) (d) All the above.

Q: 3 -4- -0- 4. 2.

A:

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: If {u, v} is an orthonormal set in V, then ||uv|| = √√√2.

A:

Q: 2) 36³x=¹

A:

Q: Expand -5x (2 - 3y)

A: Expand -5x (2 - 3y)

Q: 5 1 1 + 2r dr

A:

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

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 1+7/7 + 8

A: Answar would be 10

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: 4root2*4root2

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 5у 10y

A: Given,    5y/10y    Cancelling y from both numerator and denominator to get,    5/10   Now, 5/10 can…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: ne binomial:

A:

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: Evaluate (33)2

A: Given: 332Power rule amn=am×nSolution:332=33×2=36(33)2=729

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

A:

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: 12 16

A: We know that If a perpendicular is drawn from the vertex of right angle triangle of a right triangle…

Q: 2) Expand the following a) Csa2-2b)

A: I have to exapand (5a^2-2b)

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 14 1

A: Given triangle is What is another side length?

Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: ydy (1+ у)*

A: We have to find the integral.

Q: (2 + V-9 )3

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.