Inverses of modulus, Show that the positive integers less

Inverses of modulus

Assignment Help Mathematics

Reference no: EM13131528

Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.

Use part (a) to show that 10! is congruent to -1 (mod 11).

Reference no: EM13131528

Questions Cloud

Independent geometric random variables : Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2

Recognizing the realized gross profit : Terms called for a down payment of $500,000 with the balance in two equal annual installments payable on December 15, 2012, and December 15, 2013. Ignore interest charges. Rigsby has a December 31 year-end. In 2012, Rigsby would recognize realized..

What is the value of sample mean : What is the value of sample mean? If the interval represents 90 % confidence interval, what would the 99 % confidence interval be?

How much oxygen gas is needed : 4 Fe(s) + 3 O2(g) → 2 Fe2O3(s). If 12.5 g of iron(III) oxide (rust) are produced from 8.74 g of iron, how much oxygen gas is needed for this reaction?

Inverses of modulus : Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.

Probability that at least one defective card is in sample : 20 are selected without replacement for functional testing. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample?

Countable or uncountable numbers : Given a set of all real numbers containing 4s and 5s in their decimal representation. Determine the given set is countable or uncountable.

Merchandise on extended credit terms : Reliable Enterprises sells distressed merchandise on extended credit terms. Collections on these sales are not reasonably assured and bad debt losses cannot be reasonably predicted.

What is the ph of a buffer solution : What is the pH of a buffer solution that is 0.0100 M in hypochlorous acid, HCIO, and 0.0300 M in sodium hypochlorite, NaCIO? (the Ka for HCIO is 3.5 x 10-8.)

User Account

All Pages