Mathematics Homework Solutions

Probability : Rayleigh Distributions

A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by: f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0 f(y)=0 , elsewhere a) Show that mean=(1/2)*squareroot(pi/alpha) b) Show that the variance =(1/alpha)*(1-pi/4)

Break-even Point

1. Air Filter, Inc., sells its products for $6 per unit. It has the following costs: Rent $100,000 Factory labor $1.20 per unit Executive salaries $89,000 Raw material $.60 per unit Separate the expenses between fixed and variable cost per unit. Using this information and the sales price per unit of $6, compute the brea ...continues

Newton's Equations of Motion

The brakes of a train can produce a retardation of 1.7ms-2. If the train is travelling at 100km h-1 and applies the brakes what distance does it travel before stopping? (have done this part and got the correct answer of 227m). I am stuck on the part below. If the driver applies the brakes 15m too late to stop at the statio ...continues

Modeling a Box as a Particle

See attached file for full problem description. Need help on 2b, 3. 2. A box of mass m is placed on a plane, which is inclined at an angle a to the horizontal, where tan a The plane is rough and the coefficient of friction between the box and the plane is . The box is kept in equilibrium on the plane by applying a horizontal ...continues

Particles, Forces and Vectors

5. A particle P is acted on by three forces F1, F2 and F3, where F1 = (2i – 5j)N and F2 = (4i – 4j). Given that P is in equilibrium, a. Find F3 in terms of i and j The force F3 is now removed and P moves under the action of F1 and F2 alone. b. Find to 3 s.f. the magnitude of the resultant force acting on P. c. Find, in ...continues

JAVA Programming : Float Operator

What value will z have if you execute the following assignment statement? float z= 5/10. The answer is 0. Why?

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