College Majors The bar graph in Fig. 6 gives the intended majors of a group of 100 randomly selected college freshmen. (The biology category includes the biological and life sciences.) Six more students intend to major in biology than intend to major in business. The number of students intending to major in fields other than business or biology is 4 more than twice the number of students majoring in business or biology. Let x , y , and z represent the three numbers shown in the figure. Use the methods of this section to determine the values of x , y , and z . Figure 6 Intended Majors
College Majors The bar graph in Fig. 6 gives the intended majors of a group of 100 randomly selected college freshmen. (The biology category includes the biological and life sciences.) Six more students intend to major in biology than intend to major in business. The number of students intending to major in fields other than business or biology is 4 more than twice the number of students majoring in business or biology. Let x , y , and z represent the three numbers shown in the figure. Use the methods of this section to determine the values of x , y , and z . Figure 6 Intended Majors
College Majors The bar graph in Fig. 6 gives the intended majors of a group of 100 randomly selected college freshmen. (The biology category includes the biological and life sciences.) Six more students intend to major in biology than intend to major in business. The number of students intending to major in fields other than business or biology is 4 more than twice the number of students majoring in business or biology. Let x, y, and z represent the three numbers shown in the figure. Use the methods of this section to determine the values of x, y, and z.
1 2
21. For the matrix A
=
3 4
find AT (the transpose of A).
22. Determine whether the vector
@
1
3
2
is perpendicular to
-6
3
2
23. If v1
=
(2)
3
and v2 =
compute V1 V2 (dot product).
.
7. Find the eigenvalues of the matrix
(69)
8. Determine whether the vector
(£)
23
is in the span of the vectors
-0-0
and
2
2
1. Solve for x:
2. Simplify:
2x+5=15.
(x+3)² − (x − 2)².
-
b
3. If a = 3 and 6 = 4, find (a + b)² − (a² + b²).
4. Solve for x in 3x² - 12 = 0.
-
Chapter 2 Solutions
Finite Mathematics & Its Applications (12th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
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