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Discrete Math

Concavity, derivations, and proofs

Please see attachment Determine whether....converge or diverge ...derive a necessary condition for the equation...to have a rational root. Then use this condition to prove... Using binomial coefficients, derive a formula for the nth derivative of the product of two functions. Suppose that f(x) has a continuous first

Concavity, derivations, and proofs

Please see attachment Determine whether....converge or diverge ...derive a necessary condition for the equation...to have a rational root. Then use this condition to prove... Using binomial coefficients, derive a formula for the nth derivative of the product of two functions. Suppose that f(x) has a continuous fir

Venn Diagram

After running various advertisements, you have received the statistics from each market segmentation. A total of 1,800 ads were run to try and reach the various segments. The following lists the breakdown of each: 680 for a geographic location 500 based on demographics 440 based on psychographics 385 based on both geograp

Discrete Math: Congruence Problem

Please provide a detailed solution to the following problem: Let p be an odd prime and a such that (a, p) = 1. Show that the equation x^2 = a (mod p^i) has a solution for all i if it has a solution for i = 1. How many solutions are there?

Simple Finite Math Problems (Basic Level)

Attached are my FINITE MATH 106 short problems that I need completed and DONE. PLEASE make sure to DO ALL OF THE PROBLEMS. Do not make the EXPLANATIONS complicated on how the ANSWERS were found. I need something short and sweet and to the point to INCLUDE the ANSWER to ALL OF THE PROBLEMS. Of Course all of the answers nee

Venn diagram problem

How many in only single? 3 Magazines (D, R, I); total number of people is 1000 250 - D, I, not R 40 - I, R, not D 120 - R, not in I 200 - I, not in D 90 - D, R 70 - none This is a review but I don't understand Professor told us to get answer = (y+Z+160)+250+90-x+X=40+70=1000 But I don't understand how to ge

Finding Mean, Median, Mode & Standard Deviation: Example Problem

The number of homicides in Vermont from 1992 through 2001 is given in the following table. Year Homicide Victims 1992 21 1993 15 1994 5 1995 13 1996 11 1997 9 1998 12 1999 17 2000 12 2001 11 a. Find the mean, median and mode of the data. b. Find the standard deviation of the data. c. What percent of the

Answers to puzzle for prison guards, fav. t.v show, etc.

Five security guards were busy cleaning inmate cells at Arkam Asylum. Each guard cleaned one inmates cell for whom they were friendly with, and each room needed items replaced. From the clues, determine the full name of each guard, what kind of TV shows each watched, what item each had to replace, and what room number each clean

Logic Puzzle: Truth and Lie

Somebody ate the sausages! Superman, The Flash, The Green Lantern, Batman, and Wonder Woman went out to lunch. Wonder Woman went to the ladies room just before the meal was brought out by the waiter. When she returned everyone had their food, but all of her sausage was missing from her plate. Wonder Woman loves sausage, so

Finite Math : Statistics, Interest and the Time Value of Money

1. (5 pts) Which of the following can never be a negative number? A. Sample variance B. Sample mean C. Maximum data value of a sample D. Median of a sample 2. (5 pts) Which of the following statements is true? A. Sample standard deviation is the ce

Finite math help

Nine total questions. please show work so I can understand and finish 1)A lumber yard has fixed costs of \$1463.00 a day and variable costs of \$1.00 per boardfootproduced. The company gets \$2.40 per board-foot sold. How many board-feet mustbe produced daily to break even? 2)Use the echelon method to solve the system of th

Finite Math

Please see the attached file for the fully formatted problems. Please do all except 7,12,18. 1. Find the sum of the first five terms of the geometric sequence. a = , r = 2 A) B) C) D) 2. Find the compound interest earned by the deposit. Round to the nearest cent. \$15,000 at 4% compounded quarterly for

Least squares

1.3 Exercises 6. Decrease in Banks The number of banks in the United States has dropped about 30% since 1992. The following data are from a survey in which x represents the years since 1900 and y corresponded to the number of banks, in thousands, in the United States.? n=10 Ex2 = 93,205 Ex=965 Exy=9165.1 Ey=95.3 Ey2

Communicate Mathematically

It has been said that students are often reluctant to communicate mathematically, and it is important for teachers to employ a variety of strategies to encourage discussion in the classroom. Describe and explain at least five strategies that encourage students to share their ideas, processes, and procedures used to solve v

Problem in Algorithms

Lg stands for log(base 2). For each function f(n) and time t in the attached table, determine the largest size n of a problem that can be solved in time t, assuming that the algorithm to solve the problem takes f(n) microseconds.

Isomorphic group

Consider the cartesian product H=Z_2 X Z_n (as a set).Define a binary operation on H to be (i,j)*(k,l)=(i+k,(-1)^k *j+l), where i,j,k and l are vectors. Show that H is a group under this operation, determine its order. Let G = < a,b|a^n=1, b^2=1, abab^-1=1 > Show that |G|<=2n. Show that H is isomorphic to G.

FINITE MATH HOMEWORK

1. Find the slope and the y-intercept of the line. 6y + 7x = -7 A) m = -7; b = -7 B) m = ; b = 0 C) m = - ; b = - D) m = 6; b = 0 2. Decide whether the pair of lines is parallel, perpendicular, or neither. The line through (-20, 5) and (-4, 7) and the line through and A) Parallel B) Perpendicular

Algebraic Sets 2. Write a memo to your boss that displays the data graphically in a Venn diagram.

2 page memo with Diagram and Table After running various advertisements, you have received the statistics from each advertising outlet. A total of 800 ads were run. The following lists the breakdown of each: ? 380 ads were run over the radio. ? 240 adds were run in the newspaper. ? 300 adds appeared on the Internet. ?

Logic and Truth Values

Let P(m,n) be the statement n &#8805; m, where the universe of discourse for m and n is the set of nonnegative integers. What is the truth value of ? A) True B) False Let P(m,n) be the statement n &#8805; m, where the universe of discourse for m and n is the set of nonnegative integers. What is the truth value of ? A)

Combinations

1. Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be? 2. Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sp

Optimization: Method of Surplus Variables, Method of Duals and Shadow Costs

A store sells two brands of snacks. A package of Sun Hill costs \$3 and contains 10 oz of peanuts, 4 oz of raisins, and 2 oz of rolled oats. A package of Bear Valley costs \$2 and contains 2 oz of peanuts, 4 oz of raisins, and 8 oz of rolled oats. Suppose you wish to make a mixture that contains at least 20 oz of peanuts, 24 oz

Positive Integers, Successive Numbers and Gray Codes

PROBLEM: For what N is it possible to list all the positive integers less than N in a Gray code, i.e., in such a way that successive numbers differ in exactly one position when the numbers are represented in binary form? For example, we can do so for N = 4 since the numbers 1, 2, 3 can be listed as 01, 11, 10 in binary form, whe

System of congruence

I need to know how to find the system of congruence for the following: x = 5 (mod 6) x = 3 (mod 10) x = 8 (mod 15)

Probability, Statistics, and Interest

See attachments As the prize in a contest you are offered \$1000 now or \$1210 in 5 years. If money can be invested at 6% compounded annually, which is larger?

Probability and Set Theory (25 Questions)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the probability. Solve the problem. 1) How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed? 1) _______ A) 899,999 six-digit number

Isomorphic proofs

1.) G_1 is isomorphic to G_2 and H_1 is isomorphic to H_2 implies G_1/H_1 is isomorphic to G_2/H_2 2.) G_1 is isomorphic to G_2 and G_1/H_1 is isomorphic to G_2/H_2 implies H_1 is isomorphic to H_2 3.) H_1 is isomorphic to H_2 and G_1/H_1 is isomorphic to G_2/H_2 implies G_1 is isomorphic to G_2

Accounting

9-16 Identify one or more control procedures (either general or application controls, or both) that would guard against each of the following errors or problems. 1).A bank deposit transaction was accidentally coded with a withdrawal code. 2).The key-entry operator keyed in the purchase order number as a nine-digit number instead

Number Code Puzzle

4. An AE student named Seoung devises a coded system of arithmetic for keeping his financial information private. His coded system of arithmetic is identical to the usual one except that each digit 0 to 9 has a value different than from standard arithmetic. The following five equations hold in Seoung's arithmetic: (a) 8×7 = 8

Real numbers proofs

A. show that if a < b then a < 1/2(a+b) < b b. i. if 0 < b < 1 show that 0 < b^2 < b < 1 ii. if 1 < b show that 1 < b < b^2 c. show that abs(x-a) < E if an only if a-E < x < a+E where E= epsilon

Derived subgroup proofs

Let G' be the derived subgroup. Prove: a) If G' is a subgroup of H and H is a subgroup of G, show that H is normal in G; b) If K is a normal subgroup of G, then K' is a normal subgroup of G c) Suppose f:G --> H is an epimorphism, with ker(f)=K, then H is abelian iff G' is a subgroup of K. I need a detailed proof of t