Solve the problem by applying the Fundamental Counting Principle with two groups of items.Jamie is joining a music club. As part of her  introductory package, she can choose from 12 rock selections, 10 alternative selections, 7 country selections and 5 classical selections. If Jamie chooses one selection from each category, how many ways can she choose her introductory package?

Fill in the blank(s) with the appropriate word(s).


4200

Mathematics

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Find the eigenvalues and the corresponding eigenvectors

What will be an ideal response?

Mathematics

Solve the problem.The path between three landmarks in a national park form a right triangle. The oldest living evergreen tree is at point A, the ranger station is at point B, and the natural hotspring is at point C. The right angle is at point C, and there is a 60° angle at point B. If the distance between the hotspring and the evergreen tree is 725 yards, find the distance, x, from the hotspring to the ranger station. 

A. 418.58 yd B. 1025.3 yd C. 1255.74 yd D. 512.6524 yd

Mathematics

Graph the solution set of the system of inequalities or indicate that the system has no solution.2x + y < 102x + y > 1

A.

B. ?
C.

D.

Mathematics

Use a proportion to make the conversion. Round answers to two decimal places.In a finite mathematics class, for a particular test, we find that 1 standard deviation equals 8 points. How many points equal 4.25 standard deviations?

A. 34 points B. 1.88 points C. 5.31 points D. 0.53 points

Mathematics