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The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
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
Factorize the given expression - Evaluate the perfect square
Find the 99% confidence interval
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
Transportation problem: Cost minimization, Three quarries produce lime which is then shipped to five warehouses
Use the chi square test to find the listed occupations
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
Calculate the probability that a person for whom the test result is positive has the disease
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