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Question: 1. (a) How many arrangements are there of the objects a, b, c, d, f, g, h?
(b) How many arrangements are there if we insist on using only those beginning with a?
(c) How many arrangements are there if a must be first and g fifth in the list?
2. We want to form ID numbers by using n distinct symbols and allowing any order for their arrangement. How large must n be to accommodate 20, 000 people? How many for 1, 000 000 people?
The cross-sections perpendicular to the v-axis are circular disks with diameters running from the y-axis to the parabola x = √15y2. Find the volume of the solid.
If it costs 1.9 times as much money to lay pipe in the water as it does on land, how far down the shoreline from should the pipe from the island reach land in order to minimize the total construction costs?
If the telescop is 100 feet above the water level and if the boat is approaching at 30 feet per seconds, at what rate is the angle of the telescop changing when the boat is 200 feet from the shore?
Do you agree with the assumption of the neoclassical model that human behavior is rational and self-interested? Can you think of some examples of economic behavior that might contradict these assumptions?
Determine how many five-character codes can be formed if the first, second, and third characters are letters, the fourth character is a nonzero digit, the fifth character is an odd digit, and repetition of letters and digits are allowed. (A digit ..
A child lies on the ground and looks up at the top of a 17-ft tree nearby. the child is 14 ft away from the tree. what is the angle of elevation from the child to the top of the tree?
Perform a Google search to locate the chart of accounts that you think is the best. Explain the features of the chart of accounts including:
Of the employees who get a positive test result, how many of them use drugs? Convert this to a percentage: What percent of people who get a positive result actually use drugs?.
1 for the data set shown below do the following. a compute the standard error the point estimate for sigma. b assuming
What is a good real life parabola example? Arches are not good examples for this type of exercise. Its is quite confusing to verify which real life images are examples of parabolas, when some of them are catenaries.
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
COMMON STOCKS Robin purchased shares of a machine tool company and shares of an airline company. Let E be the event that the shares of the machine tool company.
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