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A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
How many ounces of pure zinc must be alloyed with 25 ounces of brass that is 30% zinc and 70% copper to produce brass that is 55% zinc?
If an open box has a square base and a volume of 110 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
The impact of mathematics on daily social activities with specific examples of how the mathematical developments affected society.
Compare the advantages and disadvantages of substitution and elimination methods with the matrix method to solve systems of linear equations and the relationship these have with matrix method solving.
Use a worksheet to simulate the rolling of dice. Use the VLOOKUP function to select the outcome for each die. Place the number for the first die in column B and the number for the second die in column C
Suppose that X and Y are continuous random variables with joint pdf (probability distribution function). Please give step-by-step process for solving the following problem.
Write the definition of a class Counter containing
A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in3 what were the original dimensions of..
Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.
Krystal sold 10 packages of white chocolate chip and 3 packages of oatmeal or $81. Find the cost of each one package of white chocolate chip and one package of oatmeal cookie dough.
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