Exercises for Sets and Functions Q1) How many elements does each of these sets have? b. P(Ø, {Ø),{Ø, KØ c. P({aj bị c) 02)Let A, B'are the following sets A (1 2 1 2 01 B {x | xisa real number and (x²+1) State which stätement is trde or false? ミBAS d ej and B= fa, b, c d̟ e, f, g. h find: et A 防 A. AUB B. AB CA B D. B

Q: -¹ { ₁ 1 (s-1)(s+2)(s+4)) Evaluate L-1

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Q: (1 2 ) x, (а). | 0 5 6 (7 0 2 3 X2 1 X3 2

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Q: X -1 Evaluate dx X+ x-5 |

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Q: Composite scores on ACT test for the 2015 high school graduating class had mean 21.0 and standard…

A: From the provided information, Mean (µ) = 21.0 Standard deviation (σ) = 5.5 X~N (21.0, 5.5)

Q: (a) Find P(A1 U A2 U A3) (b) Show that P(A1 U A2 U A3) = 1-(1-1/3)^3

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Q: 4. Evaluate - 2 sin(32) dr.

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Q: invertible

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Q: let (X; Z) v it piece wise comnected ?

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Q: VE dt. 2+ VE Evaluate

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Q: Suestion s A then what the equiralent 3. of Man

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Q: 1 dx -1 1+ 3x²

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Q: Cov(x1,x2) = Cov(x1,x1)

A: Here covariance of any variable denote the relationship between variable

Q: 3x2+2x x2-6x Determine the non-permissible value(s) for Ox + 0, x # % Ox + 0, x + 6 Ox + 6 Ox + 0, x…

A: The function is given by 3x2+2xx2-6x To evaluate : The non-permissible values of x

Q: | The table shows the percentage scores earned by two students on their math tests. Math Test Scores…

A: Given data, Mervin Rosalie 68 70 73 84 76 86 76 89 83 93 83 95 86 97

Q: 5 and 6 please

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Q: True or false

A: Ans : False

Q: x + 2y Let f(x, y) x² + 3 Evaluate f(3, 4)

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Q: → P2 be defined by 18. Let L : L(p) and Dim (Domain(L))? : P4 p". What are Ker(L), Range(L).

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Q: Let S=( 2,8] n[ 1. inf(S) = -2 and sup(S) = 8 -2,6) , then. %3D 2. inf(S) = 2 and sup(S) = 8. 3.…

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Q: A D 23. Which of the following statements about the domain of a rational function is true? O The…

A: We are asked to find which statement is true

Q: Q3: Derive the stencil formula for d2u/dx² +d3u/dx³=o

A: To derive the stencil formula for the equation

Q: a. (btc) = a.bta.c

A: a(b+c) = a*b + a*c prove here for left hand side  a(b+c) a*b + a*c  = right hand side proved

Q: In 2 -0 (4.) 4e sinhədə 0

A:

Q: The reverse variation formula where x is the nonzero independent variable y is the dependent…

A: The  reverse variation formula

Q: ихw3 (4, 5, 8) w x v = (6, 2, 6) Then (u +2 v+ w)x w =

A: Given u×w=(4,5,8)=4i+5j+8kw×v=(6,2,6)=6i+2j+6k

Q: "((71) = (71)) 11A (9)

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Q: Evalut the experessions x+3 and 2x when x is 4

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Q: 15x'y 5xy 3x²y True O False

A: follow next step

Q: Continuous everywhere

A: The following are theorems, which you should have seen proved, and should perhaps prove yourself:…

Q: 3/4(8y-9)<3

A: We multiply both sides by 4 first.

Q: true of false what all VIF are less than 10 then multicollinearity is not a problem?

A: In the multiple regression analysis, When an independent variable is correlated with one or more…

Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

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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.