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if a plane can travel 480 miles per hour with the wind and 420 miles per hour against the wind , find the speed of the plane still in the air.
Distributive Laws (I) Prove that A intersection (B union C) = (A intersection B) union (A intersection C)
Suppose a shock causes a unit damage to the machine with probability 0.1 and no damage with probability of 0.9. Successive shocks are independent. Suppose the damages are cumulative and the machine can withstand at most four units of damage
Let A be the real 2x2 matrix with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form
If the probability of seeing moose in a day in a certain region of Alaska is 0.47, what is the probability of not seeing any moose in a day there?
Mean and variance explained in this solution. A school is sending 11 children to a camp. If 25% of the children in the school are first graders
Simple linear regression equation
Draw conclusions involving the uncertainty from the results of the simulation.
How many committees are there? How many committees of 5 can be formed from 8, given that two particular individuals are to be included on the committee?
Find the maximal interval of existence. Find the dynamical system defined by the solutions
The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression ..
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
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