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A rectangular parcel of land has an area of 5000 ft^2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, rounded to the nearest foot?
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
Compute the mean & the standard deviation of the total amount that this investor in 1 year from these four investments.
Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent? Description of Mutually exclusive events
Calculate the critical value
Find a solution of the differential equation that satisfies the initial condition y(1) = 3.
Transform each equation to standard form. Then find the center, foci, major and minor axes, and ends of each latus rectum. Draw the curve
What do we gain by studying geometry? Do you see any geometric concepts being used in your area of expertise or in your day-to-day experiences? Explain
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Write the generator matrix. Show by example that your code will detect 1 error, 2 errors, and 3 errors. Give an example where 4 errors are made in transmitting a message word, but your code does not detect any errors.
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
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