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the dunbar family consists of a mother, a father and some children. The average age of the members of the family is 20. The father is 48 and the average age of the mother and the children is 16. how many children do they have?
Given the following 3X3 matrix find the eigenvalues and eigenvectors. Please solve by hand before checking with a computer program!
Formulate a nonlinear program representing the profit maximization problem for the bakery. What is the equation associated with the constraint regarding the amount of time available for baking?
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
Find the velocity and position vectors of a particle that has the given acceleration and the given inital velocity and positions.
Joe wants to sell his horses for 500.00 each and his cows for 300.00 each for a total of 2100.00 for them all. How many horses and how many cows are Joe selling?
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
Calculate the operating cost and probability values
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ). (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t)
What is Handshake probability. Rosie Raccoon went up a tree, which was ten feet and three. Every day she climbed eleven, every night she came down seven
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder-back chairs during the next thre..
What is a probability that 2 females and 1 male will be in a group? What is a probability of 3 females only?
It is known that the time (in hours) between consecutive traffic accidents can be described by the exponential r.v. X with parameter (Lambda = 1/60). Find (i) P(X
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