Q3 What situation arises in accordance with the Fundamental Theorem of linear algebra for the systems given below: x +y +z = p рх +у +z %31 x +y +z = p (i) x +2y – z =4 (ii) x +2y – z =4 (m) — 2х — у — г %3D-4 Зх — у +2z —-1 Зрх + Зу +32 %3D-1 Зх + Зу +32 — Зр %3D

Q: 4 csc x = -8

A: here, 4 csc x = -8 or csc x = -2. x lies in 3rd and 4th quad.

Q: x + 12=7

A: Definition :   A linear equation is any equation that can be written in the form ax+b=0 where a…

Q: 1 6 The x-coordinate of the point of intersection of the curves y=x² +- and y=÷is p , where x>0,…

A:

Q: Vx +2 = 7

A: We have to find the value of x using given equation

Q: (3) (-25)

A: Given : 312-934÷-2.5

Q: 3x + 6 =18

A: To solve for x

Q: An + 1 ≤ n² for all integers n ≥ 5.

A: In this solution we will prove that 4n+1≤n2 for all integers n≥5 using principle of mathematical…

Q: 7m³ = ? dm³ 3

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

Q: 36x+5=52x

A: Solve the given equation for x

Q: (2x-3)2=49

A: Solve (2x-3)2=49

Q: Prove the following statements using direct and indirect proof methods. a.) For all integers a, b,…

A: a.) For all integers a, b, c, the product (a−b)(a−c)(b−c) is even. The differences of any two even…

Q: d cubed minus the product of 8 and p plus 9

A: We will express this statement with mathematical notation.

Q: *Determine P(-1.6z)=0.036

A:

Q: Y+4=15

A:

Q: P5: 4 – 9x²dx

A:

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

A:

Q: L(P-5)0

A: Explanation of the answer is as follows

Q: (-8, -5);m=-3/4

A:

Q: 30x + 25 = 85

A: The given equation is 30x + 25 = 85.

Q: M+86=117

A:

Q: 18x+26=22

A:

Q: 8x = 96

A: As, Not mentioned what is the question is. Considering that, to Find the solution of the equation…

Q: 3 6 0 3 3 3 3396 3 3 3 X 3 = 9

A:

Q: X-3=12

A: Given that: X-3=12 To solve for X

Q: 35 = 34- 10

A:

Q: 273x=81

A: Make the base equal than equate the exponents.

Q: g) 84x-2 = 64

A:

Q: y+6=20

A: Just subtract 6 from both sides and you'll get value of y.

Q: d. 66 =11x %3D

A:

Q: 12x=200

A: Given: The equation 12x=200. To find: The value of x.

Q: m 6. V2 = 2- a

A: Law of exponent states that: amn=amn Now we have to simplify 253. Simplifying 253. 253=2513=253

Q: 12. 32 2r + 6 60 52.5

A:

Q: -16m+8m=340

A:

Q: 3x-2=7

A: Any linear equation in one variable can be solved by taking all the terms other than those…

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.