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A tank initially contains 59 gal of brine, in which 6 lb of salt is dissolved. Brine containing 1 lb of dissolved salt per gallon flows into the tank at the rate of 6 gal/min, and the well-stirred mixture flows out of the tank at the same rate. How much salt is present in the tank at the end of 14 min? (Round your answer to one decimal place.)
Binomial distribution with parameters, Suppose only 70% of all drivers in a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. What is the probability that
Decision Analysis with Decision Tree, Jack Nimble, an employee of Daniel Construction Company, claims to have injured his back as a result of a fall while repairing the roof at one of the Eastview apartment buildings
Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
Use the leading coefficient test to determine the behavior of the function.
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact..
Analysis the graph of the derivative.
Investigate the presence of limit cycles both analytically and numberically and investigate the presence of homoclinic/heteroclinic orbits and global bifurcations numerically.
Let g= g1g2 ... gr belong G, where g1,g2, ... gr are disjoint cycles. Prove that o(g) = lcm {o(g1), o(g2), ... o(gr)}. Can you tell me how to start, and step by step guide?
Suppose that in a company with 775 employees, the monthly salaries are normally distributed. The mean salary is $6400 and the standard deviation is $800. About how many employees earn more than $4200 per month?
Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
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