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Let x and y denote the thickness of two different layers of ink deposited onto a substrate. X is normally distributed with mean 0.1 mm and standard deviation 0.00031mm, and y distributed with mean 0.23 mm and standard deviation 0.00017mm, assume x and y are independent, why is the probability that the total ink thickness is less than 0.3337?
let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders.
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Twenty-five percent of your budget will be used to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Express the percentage as a decimal. Do not so..
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
Find a bijective conformal mapping that takes a bounded region to an unbounded region. Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.
A region is bounded by y=5-x, the x axis and the y axis. Find the volume of the solid generated when the bounded region is revolved about the line x=-2. Also graph the bounded region.
Find the probability that they will have a rating between 230 and 260
Find all solutions to the two equations: (use radian measure, and algebra techniques. Don't just look for the zeros on a graphing calculator) (a) tan^2(t)-2tan(t)+1=0 (b) 2sin^2(t)-sin(t)-1=0
The width of a rectangular swimming pool is 74 feet. If the perimeter is 328 feet, what is the area of the pool?
a maker of frozen meals claims that the average caloric content of its meals is 800 and the standard deviation its
The solution to minimization, The ABC small-scale industry has production facilities for two different products. Each of the products requires three different operations
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