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Let's generalize Problem 6 to a regional Ultimate Frisbee tournament where there are n teams attending. Teams are assigned numbers (1 through n) when they register. As before, each team will play each other exactly once.
(a) How many games does Team 1 play?
(b) How many games does Team 2 play? Wait, that counts the Team 1 versus Team 2 game twice. How many not-yet-counted games does Team 2 play?
(c) Keep going. How many "new" (uncounted) games does Team i play?
(d) How many games are played in total?
Problem 6
Some conference-goers saunter over to the Healthy Snack Box Machine, where they each choose one of five kinds of fruit, one of three herbal teas, and one of six flavors of wrap sandwich to get packed in a box. How many possible snack boxes are there?
State at least two hypotheses you might use, specifically stating the null & alternate hypotheses & the type errors that might occur.
How fast is the distance between the cyclists decreasing at the moment when cyclist A is 4 miles from the intersection, and cyclist B is 3 miles from the intersection?
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to the longest side.
The correlation between weekly sales and shelf space.
The "origin" of cartesian plane in math is the point where x and y are both zero. Provided a variable, origin of type Point, a structured type with two fields, x and y, both of type double.
The half-life of aspirin in the bloodstream is 12 hours. How long will it take for the aspirin to decay to 70% of the original dosage?
The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
To maintain high quality, the total number of rackets produced should not exceed 80 per day. How many of each type should be manufactured daily to maximize the profit?
both algebraically and graphically, when an ordered pair (x,y) is a solution to a system of two linear equations?
- the g.m of 10 items of a series was 16.2. it was later found that one of the items was wrongly taken as 12.9 instead
There are6students in a small class. To make a team, the names of3of them will be drawn from a hat. How many different teams of3students are possible?
Find and sketch the domain of this function. Find all the first order partial derivatives of this function at (1, 1,3). Suppose that xz -x In y = z2. Find dz/dx and dz/dy at (1, 1, 0).
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