Solve the problem.Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $9.00 for rolling a 5 or a 1, nothing otherwise. What are your expected winnings?
A. $3.00
B. $9.00
C. $0
D. -$3.00
Answer: C
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Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 sin t, y = 2 cos t, 0 ? t ? 2?
A. 
+ 
= 1; Counterclockwise from
(3, 0) to (3, 0), one rotation
B. 
+ 
= 1; Counterclockwise from
(2, 0) to (2, 0), one rotation
C. 
+ 
= 1; Counterclockwise from
(0, 3) to (0, 3), one rotation
D. 
+ 
= 1; Counterclockwise from
(0, 2) to (0, 2), one rotation
Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find csc B when a = 7 and b = 4.
A. 
B. 
C. 
D. 
Determine whether the specified paradox occurs.A town has 13 police officers to be apportioned among 3 precincts based on the population of each precinct. The populations for the years 1998 and 1999 are given in the following table. 
Does the population paradox occur using Hamilton's method of apportionment?
A. Yes B. No
Use the given information to find the exact value of the trigonometric expression.sin ? = 
; tan ? < 0
Find sin(2?).
A. 
B. 
C. - 
D. 