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Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
Is the conclusion true if 6 integers are selected instead of 7
How many numbers must be selected from the set {1,3,5,7,9,11,13,15} to guarantee that at least one pair of these numbers add up to 16.
Calculate the probability of rolling dice and obtaining a 3 or a 5 consecutively three times?
Write the equation of the trend line. Do the scores support an increasing or a decreasing trend?
Minimizing the cost
Assume that the average annual salary for a worker in the United States is $28,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following
Create a joint probability table
A random variable defined on all real numbers has a probability density proportional to: c/ X2 + 1. What is c? What is the probability that the random variable lies between 0 and 1?
A jazz concert brought in $179,500 on the sale of 8,700 tickets. if the tickets were sold for $15 and $25each, how many of each type of ticket were sold?
Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.
Evaluate the ratio of circumferences of inscribed and circumscribed circles in a regular hexagon
Find the upper & lower confidence limit.
Probability Mass Function, Mean and Variance A lot consisting of 100 fuses is inspected by the following procedure: 5 fuses are selected randomly, and if all 5 "blow" at the specified amperage
Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.
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