Assume that a survey of 272 people is taken to determine the opinions of doctors, teachers, and lawyers on a proposed piece of legislation, with the results as shown below. A person is chosen at random from those surveyed. Refer to the table to find the probability the person favors the legislation.
 Number that favorNumber that opposeNumber with no opinionTotalDoctors722914115Teachers821812112Lawyers20151045Total1746236272?
Please round the answer to the nearest hundredth.

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


0.64

Mathematics

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Answer the question.What value for x makes the expression 8 + 2x equal to 16?

A. 3 B. 7 C. 5 D. 4

Mathematics

Four equilateral triangles cut from the same fabric are needed to complete the quilt square design shown.



To form the four small triangles the designer uses one equilateral triangle whose sides are
twice the length of the sides of the needed triangles. Then he makes three cuts from midpoint to midpoint as shown. Explain how these cuts will form four congruent triangles whose sides are half the length of the side of the original piece of cloth.

Mathematics

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these.6y3 - 6y2 - 5

A. 5; trinomial B. 3; trinomial C. 3; binomial D. 6; trinomial

Mathematics

Graph the system of inequalities. Shade the region that represents the solution set.y? x2x + y> 3

A.

B.

C.

D.

Mathematics