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In a sample batch of 40 mechanical pencils it is assumed that 11 are defective. If 4 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Finding Probabilities Under Normal Distribution. Suppose x is a normally distributed random variable with y=13 and o=2. Find the following probabilities
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
Consider 4 couples (4 husbands and their wives) stand in random order in a line. What is the probability that no husband is lined up directly
Find lim (x->infinity) p1000(x). What can you say about |p1000(x) - sin(x)|for large values of x?
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to ch..
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
A cup of coffee at 179 degrees is poured into a mug and left in a room at 66 degrees. After 7 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case)dT/dt=k(T-66).What is the t..
How many times does the graph of a quadratic equation (a parabola) cross the x-axis? I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if ..
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
Statistics: Populations, Samples, Parameters and Assessing the Mean. The average time before hittin a jackpot at the local casino was estimated by using the average time that it took the first 100 players. Based on this information identify.
Find f'(x) using the appropriate rule and simplify to one expression with positive exponents. Find all values of x, using algebra, where f'(x)=0 (Write your answer with positive exponents)
Discuss the convergence and divergence sets of each of those Laurent series. Find two non-zero terms of the Laurent series which represents this f for all z outside some circle |z| = R but diverges inside the circle and find the numerical value of..
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