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Please prove the following theorem:
A system of linear equations has zero, one or infinitely many solutions; there are no other possibilities.
Find the second derivative
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million?
Using the definition of a measurable function, show that any constant function is measurable. 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.
Suppose the position of a particle after t seconds is given by the following vector equation - evaluate each of the following vectors:
Fitting of simple linear regression
Compute the time and cost
In your opinion, is a transformation needed? Explain your response. If you believe a transformation is needed, conduct the transformation.
Estimate the MSE, MAD, cumulative error and average error
Trigonometric identities to find length of the guy wire.
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor
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