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The ages of workers in the Illuminex plant are approximately normally distributed with a mean of 42 years and a standard deviation of 10 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this worker is less than 30 years old?
Construct the green's function that satisfies xG''-(2x+1)G'+(x+1)G= ?(x-s), G(0,s)=G(1,s)=0
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
What type of solution do you get for quadratic equations where D
Identical twins must be the same sex, but the sexes of fraternal twins are independent. Find What is the probability of fraternal twins
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
Annual profit in thousands of dollars is given by the function, P(x) = -.01x2 + 50x + 30,000, where x is the number of items sold, x ≥ 0.
Using the SOA illustrative life table, with interest rate at 9.18% per year, calculate the expected present value of this benefit.
Formulate a linear programming model for the problem.
Determine the Fourier series for the function. Sketch both the expected Fourier series graphs using Mathcad to check solution.
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