Use the table to find the probability.The following table indicates the preference for different types of soft drinks by three age groups.If a person is selected at random, find the probability that the person is over 40 years of age given that they prefer root beer.

A.
B.
C.
D.


Answer: C

Mathematics

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Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.-3x + 3y = 156x + 5y = 91

A. Inconsistent; independent B. Consistent; independent C. Consistent; dependent D. Inconsistent; dependent

Mathematics

Determine any local or absolute extrema as indicated.Use the graph of f to estimate the local extrema.

A. Local maximum: ?; local minimum: -? B. Local maximum: -1; local minimum: 2 C. Local maximum: approx. 1.17; local minimum: approx. -3.33 D. No local maximum; no local minimum

Mathematics

Convert the angle from degrees to radians. Express the answer as a multiple of ?.-30°

A. - 
B. - 
C. - 
D. - 

Mathematics

Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

1. All isometries take lines to lines, rays to rays and segments to segment. 2. If A'B' is the image of AB under a translation, then A'B ? AB 3. If ABC is translated toABC, then the area of ABC may be twice the area of ABC. 4. If point O is the center of a size transformation and A is the image of A, then OA/OA is called the scale factor of the size transformation.

Mathematics