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Draw a graph of the equation y = x(1 - x) for x between 0 and 1. What is the maximum value of y? Why does this show that the variance (see Problem 10 in this section) of the "number of successes" random variable for n independent trials is less than or equal to n/4?
The height in feet for a ball thrown upward at 48 feet per second is given by s(t)=-16t^(2)+48t, where t is the time in seconds after the ball is tossed.
Pizza Crusts. At Pizza Perfect, Ron can make 100 large pizza crusts in 1.2 hr less than Chad. Together they can do the job in 1.8 hr. How long does it take each to do the job alone?
Show that if the final demand changes from d to d + ?d, then the new production level must be x + ?x. Thus ?x gives the amounts by which production must change in order to accommodate the change ?d in demand.
Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, ..
Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.
find the distance closest to the detection tower horizontal to directly below the aeroplane to the nearest kilometre, if you could explain How to find the equation for the detection tower.
Math: Linear Transformation of the Space of Polynomials, Which of the following is a linear transformation T of the space of polynomials? Circle the letters corresponding to correct answers.
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Determine a basis for the subspace of R^3 consisting of all solutions to the equation x1+2x2-x3=0
For example, a possible sequence of tosses could look like HHTTTHTHHTHH. What is the probability that the length of such a sequence is at most 10?
The team works for a company that is looking to make an acquisition of another company. The team must make a recommendation as to whether or not the company should make an offer based on the information below. The team must present their recommend..
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
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