(i) The functions f and gof are defined by g:x - x+5,x ER, gof : find f and show that f is injective. 6(x-3) x E R,x # 4, x-4 (ii) If p is the statement : Eric plays golf and q the statement: Oscar plays tennis. Write down the statement represented by each of the following: (a) p= q, (b) -q = p, (c) - (p v q).

Q: 1+1(9)-20

A: The given expression is 1+1(9)-20 When we multiply any number by 1 the result is 1. So when we…

Q: w + 4 w + 10 6. 8.

A:

Q: -1 (4, -4) (2, –5) (6, –5) (4, -6)

A:

Q: Age: 21, 20 , 18, 30 Teenage (10-20) so what is the Freq(TeenAge) ?

A: Given Data: Age: 21, 20 , 18, 30 we have to calculate frequency : for Teenage (10-20)

Q: 4 -8 = 0 Example 51. Find 5 6 |-4 x 7

A:

Q: A+b+c=180 (For c)

A: Given, A+b+c = 180 To be solved for c

Q: S(9% + 33* + 2²) dx

A: Given

Q: 1 L (s- 4)6 J

A:

Q: Evaluate  ( 3 . ( 5/6 ) - 1/2 )

A: ( 3 . ( 5/6 ) - 1/2 )

Q: 3 a₁ = (-1)²¹-¹12 (²) , n = 1,2,3...

A:

Q: Find :18th term of the A.P. 2, 3/2, 5/2,

A: Arithmetic Progression is sequence of numbers where any two consecutive number is same. This…

Q: p=2.59c+1.72(8-c)

A:

Q: y+4<11

A:

Q: 40 (3x +10)°

A: Using concept of opposite Angles.

Q: 4. (1.5 pts) Simplify the expression: (2x – 7)2 (2x -7)(2x-7)

A: simlify

Q: 14(½)(3)(-2)=

A: Given expression :

Q: 36s e-2s (s2+9)2

A:

Q: Find the midpoint between (-6, 11) and (2, 8)

A: -6, 11 &amp; 2, 8.

Q: -(x-6)

A:

Q: How do you solce part d?

A: Let, X= the number of incoming calls involving a fax messages among 25 incoming calls. This…

Q: Y+5>1

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: how did you came up with pi

A:

Q: (6 + 5i)4 Calculate: (5 + 2i)4 O (5.25 + 1.3i) O (4.64 - 4.5i) o (2.54 - 6.2i) O (1.37 + 4.2i)

A: We know, i2=-1

Q: 6a b4 (e) 18a b?

A: To simplify the algebraic expression few points we should keep in mind: i) If two numbers are in…

Q: -2.8(-8)

A: Product of two negative numbers is a positive number. (Two negatives make positive)

Q: 2 _ 5 4 3 12 a 4)

A: Simplifying the given equation, we get, a/4  -  8/3  =  5/12

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.