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Question: 1. Use a truth table to show that ((¬p)∧q)∧(p∨(¬q)) is a contradiction.
2. Prove that the graph shown in Figure is nonplanar.
3. An upper-level math class has 12 students: 3 of them live off campus and 9 live on campus. How many ways can a project group of three students be chosen so that it has two on-campus members and one off-campus member? Explain briefly.
There are three types of bread, three types of meat, three types of cheese and four types of topping. How many different sandwiches can the restaurant make?
For solving a system of equations, is there a difference between using an algebraic method and using the graphical method? Explain why or why not
Important information about Working with conditional probability. The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind".
Formulate an appropriate hypothesis and state your conclusion.
If you have 80 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Constraints, Decision variables, Objective functions
Problem 1: (a) Let (X, d) be a metric space. Define a function d': X * X → R by setting
water tank in the shape of hemisphere has radius a and depth h . what is the volume of water in the tank?
What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event isimpossible?
Now, in how many days will a total of 250 students in the residence hall get infected? Use a constant of propottionality accurate up to four decimal places.
Formulate a capital budgeting integer linear program to select an optimal combination of proposals. Develop the B&B tree for each of the following problems by hand using the method described in the Brand and Bound section.
A second rectangle is 5 centimeters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 sq. centimeters greater than the first. What are the dimentions of the original rectangle?
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