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There are two companies, the IL Company and the MO Company. They are trying to build a 3000 ft. tunnel connecting St. Louis, IL and St. Louis, MO. Each company will begin digging on their own side and eventually meet up with the other. The cost of digging x feet of tunnel for the IL Company is 1.95x^(2)+20x and it is 2.05x^(2)-300x for the MO Company. Find the point at which the two companies should meet if the overall cost is to be minimized.
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
In what fundamental way does the solution set of a system of linear equations differ from the solution set of a system of linear inequalities?
Statistical Probability: Emergency Call Rates. Let sample mean = 70 and the sample variance = 36 and assume the data is normally distributed. Use ths information to answer the following:
Use a diagram to list the sample space showing possible arrangements of heads and tails when four coins are tossed . Then use the sample space to find the probability that:
A pulley is suspended 13.5 m above a small bucket of cement on the ground. A rope is put over the pulley. One end of the rope is tied to the bucket and the other end dangles loosely to the ground.
A production process contains a machine that deteriorates rapidly in both quantity and output under heavy usage, so it is inspected at the end of each day. Immediately after inspection the condition of the machine is noted and classified into one ..
Rate of change over the time intervals .
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
Calculate an adjusted exponentially smoothed forecast
Suppose you have 3 nickels, 2 dimes and 6 qtrs in your pocket. If you draw a coin ramdomly what is the probality that a. you will draw a dime ? b. you will draw a half dollar ? c. you will draw a qtr?
Calculate the z transformation.
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not.
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