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A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Determine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation
what is the probability taht a widget produced by the factory will be defective? if a widget is found to be defective what is the probability that it is made by Pacific
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution?
The graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of numbers less than or equal to 4. Determine an expression for the function.
You select a random sample of n=14 families in your neighborhood and find the following family size (number of people in the family).
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
Solve each of the following initial value problems: Check to see if eigenvectors are multiples of the given eigenvectors.
The law of cosines and Pythagoras theorem.
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
Estimate the regression equation. Interpret the equation. Do more bidders tend to increase or decrease the amount of the winning bid?
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