5. Let a, b, N E Z where N > 0. Prove that [ab] = [[a][b], where [r] denotes the remainder of r after division by N.

Q: -(-5, -1); 2y = 2r – 4 %3D

A:

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: -22 = 6 + x X= ?

A:

Q: A(1,-3),B(1,1),C(5,1),D(5,-3) translation of 3 units left and 5 units up.

A:

Q: 4x - 3y = -3 2x + 5y = 31 %3D

A:

Q: V2 2 = 2 +

A: Given :x22=22x

Q: X+X+y if x = 9 and y = 3

A: Given data is x = 9 and y = 3   find x + x + y = ?

Q: Add. -3 + (-7) + 6

A:

Q: -5+y>19

A: - 5 + y > 19 Adding, 5 both sides of the inequality, we get,

Q: What is 26 + (-16)=

A: The given expression: 26+(-16)=

Q: 2. 2.

A:

Q: then If A(-3-20) = Au = -2 ---A 2 and Av= -1 3 2

A:

Q: ) (-7) + 16 ÷ 4 · ((-19) + 9) (-2)

A:

Q: 11. (8-4w)(-6w+2)

A: To evaluate: 8-4w-6w+2 We know that x+px+m=x2+px+mx+pm

Q: Evaluate 2 . [ 8 - 3  ( 4 + 2 ) ] - 3

A:

Q: -8 - 12

A: Given problem is

Q: 5B. x² + 11x + 30 >0

A:

Q: ?dz (2²+36)*

A:

Q: what is 3(6+(+2) equals

A:

Q: Suppose B = (-8, 1, -3) and AB = (-10, 7, -9). Then A help (points)

A: Given point B=(-8,1,-3) and vector AB=<-10,7,-9>. To find the point A. Let O=(0,0,0) be the…

Q: x6 %3D -3 if x is -2?

A: given that y=x6x3 and x=-2 find the value of y

Q: (n+3)!

A: (n+3)!/n! =(n+3)(n+2)!/n!

Q: How do u find the degree in -13x?

A: We have to find reason

Q: 11 = x + (-17) X= ?

A:

Q: 2. y + 3 = -5(x - 1)

A: In order to draw the graph of a given line, first determine the x and y intercepts as:

Q: T [8 -4 31 2 .5 2 L3]/ [9 12] O [7 8] O [8 7] O [12 9]

A:

Q: If 2 2 5 A- and B-1 3 3 -2 find (AB)-!.

A: Consider the given matrix as A-1=3213 and B-1=253-2

Q: 3 (=-2)* 2. Show that - = 00,

A:

Q: 10. 3 + Зу- 1 + у

A: Given that                     3+3y-1+y Now we simplify this.                           3+3y-1+y…

Q: an= 5(-2)n-1 Find a 10

A: Given nth term of the sequence is an=5(-2)n-1 The task is to find a10

Q: x3 f) x2+2x+1

A:

Q: If x > 4 and y > 4, then x + y > 8.

A: Since, we have been given that:-x>4 -(i)y>4 -(ii)Our Aim is to Prove that:- x+y>8

Q: 2. 8y-10y+3 1

A:

Q: -3 -3 2 -5 9 -3 -2 2 = 4X – 3 8 - -7 -8

A:

Q: Write the terms a0, a1, and a2 if an = 2n + 5(3n) for n = 0, 1, 2, …

A: We will plug n=0, 1 and 2.   We plug n=0, a0 = 20+ 5(30) = 1+5(1)=1+5=6

Q: 1-3 s B/ Determine s2 + 8s + 21

A:

Q: Dimension of ker A is Rank of A is

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.