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Please explain how to prove the following. As much explanation as possible would be great
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing
Evaluate the equation of the Straight line - Sketch the curve.Circle: tangent to the line x=3, centre at (5,1)
Use augmented matrices
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
Assume that 10% of the population is left-handed. If three people are chosen at random, what is the probability that at least one will be left-handed?
Make a 95 percent confidence interval on the variable age.
You toss two dice - probability, You toss two dice and compute the "difference," which you will define to be the larger top number minus the smaller top number if the numbers are different, and 0 if the numbers are the same.
A computer store has 10 copies of a word processing program, 12 copies of a spreadsheet program, and 8 copies of a draw program. Three of the word processing, four of the spreadsheet and two of the draw programs are infected with a computer virus.
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
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
Important information about Find the indicated probability, Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability.
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