1. How many solutions( mod 419) does x = 186 mod 419 have? (Show your work!) 2. How many solutions ( mod 101 )does x2 = 186 mod 101 have? (Show your work!) 3. How many solutions ( mod 4192 * 3 * 101) does x = 186 mod 4192 * 3 * 101 have?

Q: 3 -4- -0- 4. 2.

A:

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 24 12 XD

A:

Q: . 3류 - 2층 : 3% +4/3) 1

A:

Q: 5(18)

A: To find5(18)

Q: 2) 36³x=¹

A:

Q: Expand -5x (2 - 3y)

A: Expand -5x (2 - 3y)

Q: 6.5+ 4

A: To simplify given

Q: 5 1 1 + 2r dr

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: 1+7/7 + 8

A: Answar would be 10

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 7,20

A:

Q: ne binomial:

A:

Q: Expand (a −b)4

A:

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: 5 L s² + 2s – 3

A: We know that, Laplace transform of 1/(s-1) = e^t

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: 12 16

A: We know that If a perpendicular is drawn from the vertex of right angle triangle of a right triangle…

Q: 7

A:

Q: 4 10

A: Given: The figure,

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: expand (x+y)6

A:

Q: Find A.

A: Given

Q: 3 3/4 + 2 7/28

A:

Q: nvert

A:

Q: 6 1/6 + 6

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.