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You have a wire that is 77 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?
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Is this test will be given to 600 randomly selected people, where each person has the illness, find the probability that there will be at least one false negative.
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
the probability that she is either rich or beautiful is 0.5, what is the probability that she is both rich AND beautiful?
What would be the scheduling model for this situation (environment, restriction, constraints) if you wish to minimize the total time in system? Use the appropriate scheduling notation.
Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
Trigonometric formulas and identities.
What three variables are negatively related to competence
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