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Discrete Math

Logic Puzzle Tables

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 : 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


Please assist with homework, just want to check my answers. 1. Solve the inequality and graph the solution. x2 + 5x ≥ -4 A) (-∞, -4] -4 B) [-1, ∞) -1 C) [-4, -1] -4 -1 D) (-∞, -4] or [-1, ∞) -4 -1 2. Graph the linear equation. 5x = y - 5 A) B)


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

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

Gray Code

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,

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


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

Sets, Subsets and Venn Diagrams

1. (3 points) - If A  B and B  C, can you conclude that A  C? Can you conclude that A  C? Definitions of symbols: ⊂ "is a proper subset of" ⊆ "is a subset of" ⊄ "is not a subset of" 1) Yes. All of the elements in A are in B, and all of the elements in B are in

Discrete Math

PROVE THAT 5 * 7^n + 3 * 11^n is divisible by 4 for all integers n >=0

Discrete math word problem

A set S of bit strings is defined in the following way: 1. the empty string is an element of S 2. 0x1 is an element of S if x is an element of S. a. List five specific elements of S. b. List strings, if any, of length six which are elements of S. c. Prove or disprove that there are no strings of length eleven is S.

How many comparisons

A. You are given a list of n names (all of the names are distinct) with instructions to put them in alphabetical order. How many comparisons are necessary to accomplish your task? B. After you have accomplished the task to part a, you are given another name. How many comparisons are necessary to place this name in its place i

Real number proofs

prove 1 a/b=(ac)/(bc),c can't equal 0 2 a-b < 0, "if and only if" a < b 3 if a < b then -b < -a 4 if 0 < a < b, then (1/b) < (1/a 5 a^2 greater than or equal to 0

Real number proofs

-(-a)=a -(a)*-(b)=a*b if a doesn't equal 0 then 1/a doesn't equal 0 if a doesn't equal 0 then (-1)/a = 1/(-a) a(b-c)=ab-ac

Continuity Problem

Let a < b, and f : ]a; b[ in R. Assume f is continuous at x0 in ]a; b[ and f(x0) > c for some number c in R. Prove that there is delta > 0 such that f(x) > c for all x in ]x0 - delta; x0 + delta[. Hint; what would happen if, for every delta>0 there were xdelta in ]x0 - delta; x0 + delta[ with f(xdelta)=< c?

Uniform Convergence

Prove that if the sum from n=1 to inf gn converges uniformly then (gn) converges uniformly to 0

Question about Relation - Ordered Pairs

See attached 5. Let A = {a, b, c} , and let R be the relation defined on A by the following matrix: MR = (a) Describe R by listing the ordered pairs in R and draw the digraph of this relation. (b) Which of the properties: reflexive, antisymmetric and transitive are true for the given relation? Begin your dis


Let A_0 be contained in A_1 contained in A_2 and so on be a nested sequence of subspaces of X such that the union of all A_n is X and such that An contained in the interior of A_(n+1). Suppose for each n, there is a retraction r_n:A_(n+1) to An. Prove there is a retraction r: X to A_0.

Word problem

Pigeon Driver The red semi-truck driver was new in town and didn't realize the danger in having the little pigeon sit in the driver's seat while he went in to check on a few things. Finding the key still in the ignition, the pigeon's big round eyes lit up with joy! As the pigeon sped around the corner and over the curb, 6


I) Let A, B, and C be groups, let alpha, beta, and gamma be homomorphisms with gamma times alpha = beta alpha gamma beta A--------->B----------->C<---------A If alpha is surjective, prove that ker(gamma)= alpha((ker(beta)). ii) Prove that if K is a subgroup of a group G, and if every left coset of