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Assume that all of the Cadbury's Dairy Milk bars bought in England were the standard length of 11.4cm. When laid end-to-end, they would form a line around the Earth along the line of latitude passing through Liverpool (53½°N). Using the Earth's circumference at 40,075km at the equator, how many bars are sold in England each year?
Plot the value of each strategy over time for a single interaction of the simulation. What is the total value of each strategy after six years? Do either of the strategies reach the target?
Augmented matrices to solve the equations
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Let C be the line segment form P(1,0,2) to Q(-2,3,1), and let F be the force given by F(x,y,z)= 2zi - yj + 2xk. Find the work done by F in moving a particle along C.
Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3). What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0..
Facebook reports that the average number of Facebook friends worldwide is 175.5 with a standard deviation of 90.57. If you were to take a sample of 25 students, what is the probability that the mean number Facebook friends in the sample will be 19..
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
using eight planning periods of three months duration each. Should any of the variables restricted to be integer?
a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboa..
Suppose one manufacturer sells both of these products. How should the manufacturer set prices to earn the maximum possible revenue? What is the maximum possible revenue?
There are 7 women and 9 men on a faculty. How many ways are there to select a committee of 5 members if at least 1 member must be a woman?
What is the mass of the water in a hemispherical tank with a radius of 5 meters? Illustrate your calculations with a plot of the tank. (Hint: assume hemisphere is lower hemisphere of sphere of radius 5 centered at the origin in spherical coordinat..
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