Solve the problem.Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected net winnings?
A. -$1.00
B. $0.00
C. -$0.40
D. -$0.50
Answer: D
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Parametric equations 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 = 49t2, y = 7t, -? ? t ? ?
A. y = x2
Entire parabola, right to left (from first quadrant to origin to second quadrant)
B. x = y2
Entire parabola, top to bottom (from first quadrant to origin to fourth quadrant)
C. y = x2
Entire parabola, left to right (from second quadrant to origin to first quadrant)
D. x = y2
Entire parabola, bottom to top (from fourth quadrant to origin to first quadrant)
Find the absolute value of the complex number.z = 5 + 7i
A.
B. 2i
C. i
D. 2
Write the partial fraction decomposition of the rational expression.
A. +
+
B. +
+
C. +
+
D. +
Convert as indicated. If necessary, round to the nearest tenth of a degree.A weather forecaster has predicted a high temperature of 37°C for tomorrow. Find this temperature in degrees Fahrenheit.
A. 98.6°F B. -11.4°F C. 34.6°F D. 52.6°F