Quantitative Methods

1. Administrators at a university will charge students $200 to attend a seminar. It costs $3000 to reserve a room, hire an instructor, and bring in the equipment. Assume it costs $35 per student for the administrators to provide the course materials. How many students (whole numbers) would have to register for the seminar for the university to break even? 2. Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 30% for University X and 55% for University Y. What is the probability that Jim will be accepted at both universities? 3. Employees of a local comp... click for more

Basic Statistics

For each type of measure, give two additional examples of populations where it would be the most appropriate indication of central tendency. 2. Find the mean, median, and mode of the following data set: 5 15 9 22 67 42 2 72 81 53 6 70 41 9 42 23 3. Sometimes, we can take a weighted approach to calculating the mean. Take our example of high temperatures in July. Suppose it was 98°F on 7 days, 96°F on 14 days, 88°F on 1 day, 100°F on 6 days and 102°F on 3 days. Rather than adding up 31 numbers, we can find the mean by doing the following: Mean = ( 1 x 88 + 14 x 96 + 7 x 98 + 6 x 100 + 3 x 102) / 31 …where 1, 14, 7, 6, and 3 are the weights or frequency of a particular temperatu... click for more

Data Modeling and Functions

See attached file for full problem description.

PVx = C can be expressed as p1v1 = p2v2 and combine this with the ideal gas law pv=RT to obtain the equation above. Derive the top equation.

PVx = C can be expressed as p1v1 = p2v2 and combine this with the ideal gas law pv=RT to obtain the equation above. Derive the top equation. See attached file for full problem description.

Nodal Polynomial Proofs

I would like to see the proofs both (a) and (b). See attached file for full problem description.