Solve the problem.Two groups of people were asked their preference in television programs from among three new programs. The results are shown in the table below. What is the probability that a person selected at random will be from group A or prefer program X?Television ProgramGroup of PeopleXYZA251540B206050

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


(100/210) ? 0.476

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: none; minimum:    at  
B. Maximum: none; minimum:    at  
C. Maximum: none; minimum:    at  
D. Maximum: none; minimum:    at  

Mathematics

Determine the total turn for the closed curve. Assign a positive measure to counterclockwise turning.

A. 1080° B. -360° C. 720° D. -1080°

Mathematics

Solve the problem.If 5 apples in a barrel of 25 apples are rotten, what is the expected number of rotten apples in a sample of 2 apples?

A. 0.33 B. 0.4 C. 0.63 D. 1

Mathematics

Solve the problem.The path of a projectile fired at an inclination ? (in degrees) to the horizontal with an initial speed v0 is a parabola. The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the formula R =  sin(2?)where g is the acceleration due to gravity. The maximum height H of the projectile is H =  (1 - cos(2?))Find the range R and the maximum height H in terms of g if the projectile is fired with an initial speed of 200 meters per second at an angle of 15° and then at an angle of 22.5°. Do not use a

calculator, but simplify the answers. What will be an ideal response?

Mathematics