2. Let U be a ring with unity 1 and zero element 0.. (a) If 0 = 1, then U consists of only one element. (b) If 0 is a unit, then U = {0}. (c) If U = {0}, then 0 is the unity and a unit. oll unite in A Show 1

Q: 2 3 (25-x2) 2

A: Given:The integral is,

Q: V(3278)3 + 6230 – 12e90i

A:

Q: (4) y=x +4 -5 -4 -3 6.

A: The given equation is: y=x+4

Q: (1-2=) dr

A:

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: 4n – 1

A:

Q: Find m2C and mZD. B. (3c - 17) (c+ 1) A

A:

Q: 5 1 1 + 2r dr

A:

Q: - (2x – 1)(4x² + 2x + 1)

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: 18) 2x y

A:

Q: b) S 9+x

A: ∫x39+x8dx

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 5)235

A: Answer : 47

Q: 7 Find mLGBF. (4x-4)* (6x + 4)*

A:

Q: -2(5a)

A: To evaluate-2(5a)

Q: 9. (x² – 2)3

A:

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: スメ3X5

A: 2×3×5  Means multiply numbers =2×3×5=30

Q: 1 + 2n < n° for all integers n² 2

A:

Q: 7

A:

Q: 3. 2-1 da

A: Use the product rule to determine the derivative for the given…

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: 11 –/7

A:

Q: ydy (1+ у)*

A: We have to find the integral.

Q: (9, -7) (3, 1). Find 吕 ロ师仁 ?

A:

Q: ) 2x+4 16

A:

Q: いーx)dx

A:

Q: 3 5.) (x+ 7x-44) ÷ (x+ 9)

A:

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

A:

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 4 -3 4m n 16) 22 4m n

A:

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: Expand 2(c+ 3).

A: Distributive property states that if x,y and z are three real numbers then x(y+z)=xy+xz.

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.