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Suppose that a telemarketer uses random-digit dialing equipment to call three residential telephone numbers at random. There is a 20% chance of reaching a live person with each call, and the calls are independent. (i) What is the probability that the telemarketer reaches a live person with the first two calls but not the third? (ii) What is the probability that exactly two of the calls reach a live person? (Hint: This can happen in three mutually exclusive ways.)
A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.
assume you can afford a down payment of equal to 25% of your yearly income which is 31,500, what is the total purchase price you can afford for a home?
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
Show that the curve with parametric equations x=sin(t), y=cos(t), and z=sin^2(t) is the curve of the surfaces z=x^2 and x^2 + y^2=1. Use this fact to help sketch the curve.
A woman w = 6 ft tall is standing near a street lamp that is s = 14 ft tall. Find a function that models the length L of her shadow in terms of her distance d from the base of the lamp.
Calculate the work done in moving the object from x = 1 ft to x = 12 ft. (round your answer to two decimal places).
Project B costs $18,000 and you estimate you could save 18 injuries over the same period. Which project do you recommend? (Assume equal distribution of injuries.)
The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit. If the revenue derived from producing 20 units is $30,000 how much revenue should be expected from producing 40 units?
what polynomial represents the total surface area of a rectangular solid with sides being 2x. x, 3x. What polynomial represents the volume?
the engine of a sports car rotates at 5000 revolutions per minute. calculate the angular speed of the engine in radians persecond, given 2TT radians = 1 revolution
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
Find the vertices, foci, length of the major axis and length of the minor axis of the elipse ((x-1)^(2))/(4)+((y-2)^(2))/(9)=1
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