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The faculty senate at a college has 35 senators to be apportioned among its four colleges based on the number of faculty at each college.  The colleges are Liberal Arts (L), Sciences (S), Business (B), and Engineering (E). The number of faculty in each college is shown below. College L S B E Number of faculty 279 355 312 423 Find the standard quota for the College of Sciences.

Suppose a four digit code is created for each person in a group so that the fourth digit is assigned to make the sum of all four digits divisible by 7. The digits 0 through 9 may be used. What would then fourth digit have to be to make 836 a valid four digit identification number under this system?

Convert the numeral to a numeral in base 10.

A country has three provinces called Red, Blue, and Yellow, and the country is apportioning seats in a legislature. The standard quotas for Red, Blue, and Yellow are 20.4, 12.24, and 18.36 respectively. Using Hamilton’s method, which province will be first to receive a leftover seat (if there are any left over?)

Determine whether the sequence is a Fibonacci-type sequence. if it is, determine the next two terms of the sequence. -7,  5,  -2,  3,  1, …

Write the Roman numeral as a Hindu-Arabic numeral. Note:  I = 1, V = 5, X = 10, L = 50, C = 100, , D = 500, M = 1000 CMLXIV

Add in the indicated bases.          3235    +     40 5

Write the Roman numeral as a Hindu-Arabic numeral. Note:  I = 1, V = 5, X = 10, L = 50, C = 100, , D = 500, M = 1000 CMLXIV

Starting at vertex  E,  use the nearest -neighbor algorithm to find an approximation for the least-cost Hamiltonian circuit.                                                                                

Ten voters are asked to rank 4 brands of cell phones A, B, C, and D. The ten voters turn in the following ballots showing their preference in order. Make a preference table for these ballots.