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You have a wire that is 53 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minium?
Important information about Find the indicated probability, Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.
A poster is to have an area of 240 in^2 with 1 in margins at the bottom and sides and a 2 in margin at the top. What dimensions will give the larges printed area?
what is the probability that one of these resistors picked at random will have a resistance of 16 ohms or more?
A machine produces bolts with an average diameter of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a bolt will have a diameter greater than 0.32 inches? Assume the distribution is normal.
Suppose you wish to test the claim that μ is different from 113.9. Given a sample of n = 218 and a significance level of = 0.10, what criterion would be used for rejecting the null hypothesis? Assume that the standard deviation, σ, of the populati..
Describe the solutions to the equation by just determining the discriminant and complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph?
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
To produce x units of a particular commodity, a monopolist has a total cost of C(x) = 2x^2 + 3x + 5. The unit price at which the x units will be sold is p(x) = 5-2x.
Describe some practical applications for fractions in your daily life and some challenges that you have experienced regarding the use of fractions.
If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100.
the depth of a pond is 180 cm and is being reduced by 1 cm per week. the depth of a second pond is 160 cm and is being reduced by 1/2 cm per week. if the depths of both ponds continue to be reduced at these constant rates, in about how many weeks ..
Twenty rivets are used to fasten two steel plates together. The plates are 2.8 m long, and the rivets are equally spaced with a rivet at each end. Find the distance between the rivets. Round to the nearest tenth of a centimeter.
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