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An oil tank ruptures at time t=0 and oil leaks from the tank at a rate of r(t)=100(e^(-.01t)) liters per minute. How much oil leaks out during the first hour?
Diastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
A swimming pool is circular with a 38-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool.
write sentences describing type l and type ll errors for a hypothesis test-"a hospital spoke person states that 3% of emergency room visits by college graduates are for alcohol related health problems"
Probability of having breast cancer. p(BC). Probability of having BC given the mammogram is positive. p(BC/positive mammo), Probability of having a positive mammogram given a person has BC. P(pos mammo/BC)
Write mathematical expression for the given statement and Solve and find the value of unknown.
A Stirling number Snk is definedc as the number of ways of partitioning the set of positive numbers (1,2,3,....n) into k non empty subsets.
Probability of Coins Drawn, Suppose you have 6 nickels, 4 dimes, and 2 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
For a given event, if the payoffs for alternatives 1, 2, and 3 (the only alternatives) are 50, 125, and -50 respectively, what is the regret associated with alternative 1?
Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem?
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Show that |Cos(x+iy)|==0 and minus infinity
To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located?
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