5. Let (S2, A, Pr) be an abstract probability space, and let A, B be events. Prove that Pr(B|A) + Pr(B|A) = 1. 6. Consider the plaintext meccago M

Q: formula for the n^th triangular number is n(n+1)/2. Prove it.

A:

Q: What are fermat numbers? What is the first fermat number?

A: In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive…

Q: * For each integer n, let Cn = {n²,n³, nª}. How many elements are in each of C-2, C-1, Co, and C3?…

A: The set always contains the distinct elements. Given Cn = n2 , n3 , n4 Consider C-2 = (-2)2 , (-2)3…

Q: NOT ALL THE NUMBERS ARE ON HERE!!

A: Solution-: Given data: 18,80,83,295,332,489,503,513,530,544,570,606,793,840,912,980 We want to find…

Q: what is an algebra expresion

A:

Q: find the amount of odd three-digit numbers that can be created. (

A: here given digits are  [0, 1, 2, 3, 4, 5, 6]. so there are total 7 digits . here use counting…

Q: Let p be a prime number and a be a positive integer. Prove that p | (a^p - (p-2)!a).

A:

Q: K = (perfect squares of integers} under addition? Is it closed or not

A: K is the perfect square of integerNow we find whether it is closed or not.

Q: Prove that for all natural numbers n, (n^3/3) + (n^5/5) + (7n/15) is an integer

A:

Q: bers {1, 3, 6, …}

A:

Q: п(п+1)(п+2) E}=1jG+ 1) = а. b. Prove that the sum of the first n Fibonacci numbers with odd indices…

A:

Q: If O is a natural number then O^2 + 2O + 1 is odd.

A: If O is a natural number then we need to check whether  O^2 + 2O + 1 is odd. The result is given…

Q: 75 (mod 46)

A: Take a number and modulo with 46

Q: Prove the following equation for n^2 >5n+2 for every integer n>=100 by mathematical induction

A:

Q: Prove this statement Discrete Math There exists a prime number l so that l^2 − l + 11 is also…

A: We have to prove that, "there exists a prime number I so that I2-I+11 is prime". We know the set of…

Q: 2.) Find the check digit (d) for the UPC numbers 0-32692-03012 d

A: 2. The given UPC number is 0-32692-03012-d. We use the first 11 digits 0-32692-03012 to determine…

Q: Use Euler's Theorem to find a number x, 0 <x<7, such that x^21 = 3 (mod 8)

A: By Euler's theorem, for any number x such that 0 &lt; x ≤ 7,        xφ(8) ≡ 1 (mod 8)       =&gt; x4…

Q: Prove that any amount of postage greater than or equal to 2 cents can be built using only 2 cent and…

A: To Prove: Any amount of postage greater than or equal to 2 cents can be built using only 2 cent and…

Q: Prove or disprove: If n is a natural number, then n^2+n is even.

A: Let us say that n is a natural number. Then n can be either odd or even. So, we can express n as:

Q: Write down the 7th row of Pascal's Triangle.

A: We have to find the 7th row of Pascal's Triangle