By Wayne Erdman, Jeff Irvine Barbara Canton

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How are the articles described? What other information is provided? 4 A simulation is an experiment, model, or activity that imitates real or hypothetical conditions. The newspaper article shown here describes how astrophysicists used computers to simulate a collision between Earth and a planet the size of Mars, an event that would be impossible to measure directly. The simulation showed that such a collision could have caused both the formation of the moon and the rotation of Earth, strengthening an astronomical theory put forward in the 1970s.

The INT function rounds a real number down to the nearest integer. Combine these functions to generate a random integer between 1 and 5. Enter the formula INT(RAND( )*5)+1 or RANDBETWEEN(1,5) in A1 and copy it down to A20. Next, use the COUNTIF function to count the number of 1s in column A. Record this score in cell A22. b) To run 100 simulations, copy A1:A22 into columns B through CV using the Fill feature. Then, use the average function to ﬁnd the mean score for the 100 simulated tests. Record this average in cell B23.

A B E C The network can be drawn as a planar graph. Therefore, a maximum of four time slots is necessary to “colour” this graph. Because Committee A D is connected to the four other committees (degree 4), at least two time slots are necessary: one for committee A and at least one for Project Prep all the other committees. Because each of the other nodes has degree 3, at least one more time slot is necessary. In fact, three time slots are Graph theory provides sufﬁcient since B is not connected to D and C is not connected to E.