Let f(x) = x³ +x + 4 and g(x) = 3x + 2 in Zs[x). Then, upon dividing f(x) by g(x), we get None of these The quotient is 1+3x + 3x^2 and the remainder is 1 The quotient is 6 +x + 4x^2 and the remainder is 0 The quotient is 4+2x+2x^2 and the remainder is 1

Q: Let G be a group and a be an element of this group then necessarily: Jal|G| O lal=IG]|

A: Second option is correct.

Q: ソーメでれ、x+ InV- In vi-x?

A:

Q: Differentiate.

A: We use the quotient rule

Q: ,please help with homework question

A: A.Conditions:The conditions for the two proportion test for sample size n1 and n2 the sample…

Q: Let a = (17 3)(5 9 4 2) and B = (2 3)(7 4)(5 18) be elements of S10. Then, a’B is O (1 4)( 2 7 5 3 9…

A:

Q: The ring Z3[i] has no proper ideals aya Math ele haw

A: O have proved the general result for arbitrary field.

Q: Directions: Determine the values of the random variable in each of the following situations. Write…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY

Q: The ring Z-[i] has no proper ideals True False

A:

Q: The number of zero divisors of the ring Z4 O Z3 is

A: We have to find the number of zero divisors in the ring Z4⊕Z3.

Q: The number of idempotents elements in the ring Z6 is: 8 4 1

A:

Q: ху Given the function g(x,y) = -2 in which its graph suggests that the surface has a ridge above x²…

A: The given function is gx,y=-xyx2+y2. Now consider the limit of the function at origin through…

Q: - Use the division algorithm to find the quotient q and the remainder r when dividing f(x)=x³+x² + 4…

A:

Q: The number of zero divisors in the ring Z40 is: 23 47 59

A:

Q: The remainder upon the division of x98 +4 by x - 2 in z, is: 6. None

A:

Q: The number of zero divisors of the ring Z4 Zg is 11

A:

Q: The ring R/ is: Field Integral domain but not Field Not Integral domain O O O

A:

Q: Suppose b1 + *+ bm < n. Prove that b,!bm!< n!.

A:

Q: 4 In GL(2,Z13), det 1 4

A: We have to find the determinant using GL(2,Z13) That is, instead of usual addition and…

Q: 5- The image of a commutative ring under homomorphism is commutative a) True b) False a) True O b)…

A:

Q: Differentiate. y= 16/x (16/x) D dx

A:

Q: There are . Polynomials of degree atmost n in the polynomial ring Z,[x]. O 7+7^n O 7^(n+1) none O…

A: Option B

Q: Consider the group G = {x € R such that x # 0} under the binary operation x*y=-2xy O x*x*x=-x^3/4 O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Use the maximum and minimum principle to deduce that the solution of: Ut = Ugr) 0 0 subject to the…

A: We are given a initial-boundary value problem and we have to use the maximum &amp; minimum…

Q: If G is a finite group and some element of G has order equal to the size of G, we can say that G 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.