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Suppose one person sends a letter to eight people, and the following week those eight people send a letter to eight other people. If this pattern continues, how many letters will be sent out on the sixth week?
The Happy Hound Haven Company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x)= 625+.03x+.0001x^2.
Which of the following would not be a continuous random variable?
A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon. Find the vector-valued function describing the position of the ball t seconds after it is hit.
A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material.
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
Decision analysis with sample information/expected value/utility analysis/quantitative methodsProblem:A television network has been receiving low ratings for its programs.
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?
(a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours?
Present your final solutions as decimal approximations carried out to the third decimal place. Due to the nature of these solutions, no check is required.
Find the derivative of y with respect to x. y = sec ^ -1 (x^2 + 1), x > 0
Find the gradient and the intercept of the following linear equation.
Explain how to calculate the derivative of a polynomial function and provide an example to illustrate your explanation.
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