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A fair coin is flipped 10 times. Find the probabilitythat there is a string of 4 consecutive heads by
(a) using the formula derived in the text;
(b) using the recursive equations derived in thetext.
(c) Compare your answer with that given by thePoisson approximation.
Find the total work along the given parametric path. If necessary, approximate the value of the integral using your calculator, f is in pounds, x and y are in feet, t is in minutes.
Compute the isoperimetric number, scattering number, toughness, tenacity, and rupture degree of a path?
Find a nonzero vector PQ with initial point P(-1,3,-5) such that u is opposite in direction to v = (6,7,-3). In other words, find the coordinates of Q.
If the water leaks from the bottom at a rate of 0.3 cubic inches per minute, how fast is the water level dropping when the water is 5 inches deep?
Suppose that you purchased (randomly select) 3 laptops from a production run of 10 laptops. Of the 10 laptops, 9 are destined to last at least two years without needing a single repair
The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $65,000. The variable cost of recapping a tire is $7.5. The company charges$25 to recap a tire. For an annual volume of 15, 000 tire, determine..
determine the roots of the simultaneous nonlinear equations x-42 y-42 5 x2 y2 16. use a graphical approach to
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
an investor has two investments a and b. the investor believes that investment a is equally likely to increase by 1000
How many students like at most 2 kinds of these chocolate candies?
(a) Find an expression for the number of bacteria after t hours. (b) Find the number of bacteria after 3 hours. (c) Find the rate of growth after 3 hours. (d) When will the population reach 10,000?
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