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Distributions of 20 markers in four distinct boxes with same number of markers in the first and second boxes.
A company's Office Supplies account shows the beginning balance of $530 and ending balance of $470. If office supplies expense for the year is $3,310, what amount of office supplies was purchased th
Establish following isomorphisms (preferably, using Fundamental Homomorphism Theorem):
A 10-year annuity-immediate pays 100 quarterly for first year. In each subsequent year, each payments is raised by 5% over the payment for the previous year.
Describe that a graph G is bipartite if and only if each circuit in G has even length. (A graph G = (V, E) is said to be bipartite if there is a partition V=V1unionV2, with V1intersectionV2 = 0, suc
Find an isomorphic between the boolean algebra with set b ={ 0,1,p,p' } in formal logic and the boolean algebra wih set p({a,b}).
Determine an initial solution using the northwest corner rule. What special condition exists? Explain how you will proceed to solve the problem.
A curve with Cartesian equation y=f(x) passes through origin. Lines drawn parallel to the coordinate axes through an arbitrary point of the curve form a rectangle with two sides on the axes.
A hole having a radius r is to be drilled in the center of the homogeneous cube of side length a. determine the depth h of the hole so that the center of gravity G is as low as possible.
How many different dart boards are possible? What if we relax the restriction that the number 20 must be on top?
A man has 3 dimes and 5 nickels in his pocket. To pay for newspaper, he will reach in his pocket as well as retrieve exactly 40 cents. Suppose that the 8 coins are distinguishable. How many manners
Anakin is in fourth grade and has six different classes. His mother told him that she will take him to the pod races if he gets atleast 3 A's on his next report card.
A standard (6 sided) die is rolled 5 times. How many possible sequences result in at most 2 ones?
Square ABCD is comprised of one inner square (white) and four colored congruent rectangles. If each and every colored rectangle has a perimeter of 20 units, what is the area of square ABCD?
Let A be the matrix of numbers. Describe that the minimum number of lines that cover A equals the maximum number of independent non-zero entries of A.
Suggest the sum: ABC + DEF + GHI = JJJ. If different letters represent different digits, and there are no leading zeros, what does J represent ?
An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C, D, E and F). The tribe has a taboo against using the same letter twice in t
According to the study of 200 samples of ground meats, the probability that one of samples was contaminated by salmonella was .30. The probability that a salmonella-contaminated sample was contamina
Prove that if p is a prime such that p = 1 mod 3, r is the primitive root modulo p, and a = r^(p-1)/3, then 1, a, a^2 give solutions to x^3= 1 mod p which are distinct modulo p.
The Athletic Sports Store has the beginning receivables balance upon January 1 of $410. Sales for January through April are $440, $480, $690, and $720, respectively. The accounts receivable period
In the certain year, the number of girls who graduated from the City High School was twice the number of boys. If 3/4 of the girls and 5/6 of boys went to college immediately after graduation, what
Compute the equation of the plane which haves the point (2, -2, 1) and is perpendicular to the line with the parametric equations x = t -1, y = 3t + 2, z = t+1. Determine the parametric equations fo
A woman took the certain number of eggs to market and sold some of them. The next day, through the industry of her hens, the number left over had been doubled, and she sold same number as the previo
The measure of height of box with square base is twice the measures of the sides of base of the box. If the volume of box is 128 cubic cm, determine the dimensions of the box.
There is a 30% chance of rain today and 50% chance of rain tomorrow. Suppose that the event that it rains today is independent of the event that it rains tomorrow. What is the probability that ther