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Let be a tree with internal vertices of degree 5, 3, 3, 4, 2, and 2. How many leaves does  have? (Write your final answer here, and make sure to include your work in your File Upload to receive full credit.)

Find a minimum vertex cover for the following graph. (Write your final answer here, and make sure to include your work in your File Upload to receive full credit.)

Find a spanning tree in the following graph.  Draw your spanning tree on your paper. (Count and write how many vertices and edges your spanning tree has here, and make sure to include your spanning tree in your File Upload to receive full credit.)  

Identify the sampling technique used to obtain a sample in each in the following situations. Every  box of cereal on the production line is inspected for quality control. To determine the average number of computers per household, each household in 4 of the 12 local counties were sent a survey regarding computer ownership.

In the following graph, the vertices represent European cities and the weights on the edges represent the number of hours needed to fly in an airplane from one city to the next.  Find the minimum weight of a minimum weight spanning tree for the graph.

The following histogram represents the distribution of scores on a ten point quiz. Which score has the highest frequency? What is the frequency corresponding to a \newline score of 5?

Some casual all-you-can-eat buffet operations place the entrées before the appetizers in the hopes that guests will fill up on entrées and just skip the appetizers entirely.

The minimum size font for a menu is a 12–14 point font.

The fundamental “error” that the error theory seeks to debunk is the idea that

What does cultural relativism imply about iconoclasts who oppose the conventional moral wisdom of a society?