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Two tanks A and B, each of volume V, are filled with water at time t=0. For t > 0, volume v of solution containing mass m of solute flows into tank A per second; mixture flows from tank A to tank B at the same rate and mixture flows away from tank B at the same rate. The differential equations used to model this system are given by:
d(SA)/dt+v/V*SA= m/V&d(SB)/dt+v/V*SB= v/V*SA
Where S stands for sigma (concentration of solute) in tank A or B.
Show that the mass of solute in tank B is given by:
mV/v *{1-e^(-vt/V)} - mt*e^(-vt/V)
These data represent the ages of drivers and the number of accidents reported for each age group in Pennsylvania for a selected year. Find the equation of the regression line for the given data.
Prepare a 95% confidence interval for the average grocery bill. Would a 99% confidence interval be narrower or wider than the 95% confidence interval?
When I watch the weather on TV it makes me crazy that they will talk about the "average" or "normal" temperature. When they say "average" on TV weather to which of the "averages" discussed in the text are they referring?
Describe the use of normal probability plot to evaluate whether a set of data is normally distributed?
Construct a 98% confidence interval for the average life expectancy of countries around the world. The data appear to be normally distributed.
47% of students have children under 17 living at home with them. Find the probability that a random sample of 800 students will return more than 50% students with children under 17 living at home with them.
Entrepreneurship researchers are interested in the relationship between entrepreneurial behaviour of firms, such as innovation or new business venturing, and performance indicators, such as sales growth or profitability.
Among Americans who are auto racing fans, 59% identify NASCAR as their favorite type of racing. What is the probability that all four have NASCAR as their favorite?
The following set of data represents the number of hospitals for selected states. Find the mean, median, mode, midrange, range, variance, and standard deviation for the data?
If the population meanis to be estimated to within two days, with 95% confidence, how many outside salespeople should be sample.
What do you find out when you perform the nonparametric statistics?
Normal distribution with a mean of 240 minutes and a standard deviation of 40 minutes, what is the probability of a procedure of this type lasting less than 200 minutes?
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