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The volume of the 8-foot-wide portable storage container shown below is given by the expression (72x^2+120x-400) ft^3. If it's dimensions can be determined by factoring the expression, find the height and the length of the container.
A roof rises 7.25 ft over a horizontal distance of 16.62 ft. What is the slope of the roof to the nearest hundredth?
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 random sample of 50 four year olds attending day care centers showed that the yearly tuition averaged $3648. The standard deviation of the sample was $630. Find the 82% confidence level of the true mean.
Evaluate the expotential equation y=(1/4)^x+3 for three positive values of x, three negative values of x, and x=0.Show your work. Syate the equation of the line asymptotic to the graph (if any).
Simon works in a government office where encrypted messages are regularly received. He knows that an affine cipher is the standard method of encryption used by the office, and has access to the machine which encrypts.
Considering window size w=2, design a Markov chain and evaluate how much improvement can be achieved. What is the tradeoff of the scheme in order to gain a better throughput?
Why might a parent company like McDonalds or Hilton choose to franchise its local outlets rather than own them and staff them with employees?
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
The Potomac River is 796 miles shorter than the Snake River. The combined lengths of these 3 rivers is 3,685 miles. Find the length of each.
Find Normal Probability Distributions, How many ways can 15 girls be chosen to form a baseball team of 9 players?
Let y = 45,000(0.97)x represent the purchasing power of $45,000 with an inflation rate of 3% per year, where x represents the number of years. What is the purchasing power when x = 0?
The amount of time required to assemble a component on a factory assembly line is normally distributed with a mean of 3.1 minutes and a standard deviation of 0.6 minute
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