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Prove :
The measure of the exterior angle of a triangle is greater than or equal to the sum of the two measures of the two opposite interior angles.
Poisson Distribution: Birth-Death Process. The McDougal Sandwich Shop has two windows available for serving customers, who arrive at a Poisson rate of 40/hr. Service time is exponentially distributed with a mean of 2 min.
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
use the optimality conditions to find all local solutions to the following problem
Draw three different nonconvex polygons. When you walk around a polygon, at each vertex you need to turn either right (clockwise) or left (counterclockwise). A turn to the left is measured by a positive number of degrees and a turn to the right by..
Find the expected value and standard deviation of your prospective winnings.
How many years will it take to double $1000 at 4% interest compounded semiannually? How much interest will you owe on a $1000 loan from March 3 to August 7 at 10% simple interest?
Theory the mean of the sampling distribution of means
What did the doctor say after examining Yunn Yunsberger.
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
A student inherits 17500 dollars and puts the money in two different accounts. One account earns 5% annually and one account earns 8% annually. She earned a total of 1075 dollars after one year. How much money is in each account?
The number of days off taken by 30 police detectives in a given year is provided below. Develop appropriate intervals and create a histogram for the data.
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