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The population in City A is 3 1/2 times the population of City B. The population of City B is 1,600,000. What is the population of CityA?
Given the curve y = the square root of 16-x^2, -2≤x≤2. Find the volume of the solid generated when y is revolved about the x axis.
Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
A self-employed worker earned $47,000 during the year. The FICA tax for Social Security is 6.2% and the FICA tax for Medicare is 1.45%.
Anthony invested a sum of money 3 years ago in a savings account that has since paid interest at the rate of 8%/year compounded quarterly. His investment is now worth $30,437.80. How much did he originally invest?
A biologist took a count of the number of migrating geese in a state park and recounted the park's population of geese for each of the next six weeks.
What is the slope of a line that is perpendicular to it?
Suppose that weights of 1-year-old boys are normal with mean 26 pounds, standard deviation 3 pounds. Use a normal table or software to determine the following. (Round your answers to four decimal places.)
A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
Basic probability problems
Stating the null & alternate hypotheses
The first kernel pops 128 seconds after the microwave oven is started. What is the z-score of this kernel? Round your answer to two decimal places.
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