A university admissions committee anticipates an enrollment of 8,000 students in its freshman class next year. To satisfy admission quotas, incoming students have been categorized according to their sex and place of residence. The number of students in each category is given by the matrix





By using data accumulated in previous years, the admissions committee has determined that these students will elect to

enter the College of Letters and Science, the College of Fine Arts, the School of Business Administration, and the School

of Engineering according to the percentages that appear in the following matrix:







Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline.


Mathematics

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Select from the list of numbers all that belong to the specified set.Irrational numbers-4, 9.1 × 103, 7, 8.6, 4.5, 0.

A. -4, 9.1 × 103, 0., 4.5
B. 7, 4.5, 0.
C. 7
D. 7, 0.

Mathematics

Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together. ? ?

A. This is an identity B. This is not an identity

Mathematics

Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-third as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.

A.  = 
B.  = 
C.  = 
D.  = 

Mathematics

A force with magnitude N acts directly upward from the xy-plane on an object with mass 6 kg. The object starts at the origin with initial velocity v(0) = 7i-2j. Find its position function.

Mathematics