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A child applies the brakes on a bicycle by applying a downward force of 20 pounds on the pedal when the crank makes a 40 degrees angel with the horizontal. The crank is 6 inches in length. Find the torque at P.
Given the following probability distribution for asset Y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the assets.
A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?
What size squares should be cut from each corner in order to maximize the volume of the box and what is the maximum volume of the box?
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
If the vertices of quadrilateral PEAR are P(-3, 0), E(0, 4), A(5, -6), and R(-1, -4), show, using coordinate geometry, that quadrilateral PEAR is not an isosceles trapezoid.
How many ounces of pure zinc must be alloyed with 25 ounces of brass that is 30% zinc and 70% copper to produce brass that is 55% zinc?
Number probability Each of the numbers 0 through 22 is written on a piece of paper and all of the pieces of paper are placed in a hat
Fitting of simple linear regression
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
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.
For what value of the parameter b will the following system of equations fail to have a unique solution?
For solving a system of equations, is there a difference between using an algebraic method and using the graphical method? Explain why or why not
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