Consider a bipartite graph on the set A = {1,2,3,4,5,6} and B = {7,8,9,10,11,12}, where there is an edge between xe A and y e B if and only if x+y is a multiple of 4. What is the size of N({2})? What is the size of N({2,5})? What is the size of N({2,6})? Is there a matching in this graph?

Q: By using the binomial theorem, evaluate : (102)* , (97)5, (1.01)3 2)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1 26. zp- (z+1)° (2z² +4z–34)

A:

Q: What is the smallest positive integer n such that 80325 divides n!

A:

Q: How many trailing zeros are there in (1000+51X5)! In the decimal number system and 96 based number…

A: As the number of trailing zeros in a number factorial directly depends on the number of cumulative…

Q: 4x+4+7x=46+4x

A:

Q: Q 6-10- 11 by using product rule

A: Consider the given function:…

Q: How do I know which numbers to multiply to get the LCM of 3 numbers? ex: 45, 15, 18 45 = 5x3x3…

A:

Q: 3) (5 - 2) + ) – 3) (2+9 - (-2 11

A:

Q: Find the remainder when 516 n + 3 + 2 (14!) is divided by 17.

A:

Q: 6) b + 16b + 64

A: Given equation is b2+16b+64. Solving the given equation, b2+16b+64=b2+8b+8b+64=bb+8+8b+8=b+8b+8

Q: For which values of n is 3^n + 2^n divisible by 13? by 7?

A: For which values of n is 3n + 2n divisible by 13? by 7?

Q: Find 1- fext=/4+|3*

A: To solve this question we need have some standard formulas of differentiation

Q: Factorial Is n! same as n+1? If I have n+1 in an equation, can I put n! instead?

A: Since n! = n (n-1)! e.g:- Let n=3  Then n+1 = 4 but n! = n(n-1)! Then 3! = 3×2×1 =6

Q: what is the name of a test that is used to find the power of n=2?

A: Student's t-test is used to determine the mean difference between two treatments that have different…

Q: What is first 5th term of a1= 5 and r=3

A:

Q: What would be the third number generated using the middle-square method if the seed was (8344)?

A: In order to obtain the answer we need to understand the algorithm of middle square method which has…

Q: 2{18-(5+32)/7}

A: First put 3^2=9 and work with parenthesis.

Q: How do I create a binomial situation using n = 5.

A: Given:- binomial distribution n=5   now, let X~Binn,p here n=5 in binomial distribution we calculate…

Q: What’s the integer for 4?

A: Given data:: The given number is n=4.   An integer can be defined as the whole number that can be…

Q: M(-3,5) N(7,11)

A: Given, M(-3,5) and N(7,11)

Q: How many positive numbers less than 300 are divisible by 7 but not 5?

A: We need to find positive numbers less than 300 that are divisible by 7 but not by 5. First count the…

Q: What is the sum of the first 100 nonnegative integers?

A:

Q: ) 4-(-8) – (-2) + (-10) – 10 – 5)

A:

Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

A:

Q: 4) (-7k+10 ) (k- 1)

A:

Q: (14(5-10)+20*5)/5(6-2)

A: We have

Q: How many squares are there in a 6x6 magic square?

A: Answer is 91.

Q: write out the correct expansion for (a+b)^4

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.