A carnival game costs $2 to play. A player draws a ball at random from a sack containing 1 white ball, 2 blue balls, 3 red balls, and 4 yellow balls. The payoff for drawing a particular color ball is as follows: white pays $5, blue pays $4, red pays $3 and yellow pays nothing. If X is the amount of money a player wins. Calculate E(X). Enter just a real number rounded off to two decimal places (no label).
Fill in the blank(s) with the appropriate word(s).
.20
E(X) = 0.20; The player can expect to win an average of $0.20 for each play.
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Replace the Cartesian equation with an equivalent polar equation. (x - 20)2 + (y + 3)2 = 400
A. r2 = 40r sin ? - 6r cos ? - 9 B. r2 = 40r cos ? - 6r sin ? - 9 C. r = 40 cos ? - 6 sin ? - 9 D. r2 = -20r cos ? + 3r sin ? + 400
Find the acute angle, in radians, between the lines.5x + 2y = 9 and 6x + 5y = 7
A. 0.9510 radians B. 1.256 radians C. 0.3143 radians D. 1.885 radians
Write an equivalent double integral with the order of integration reversed.
A. 
B. 
C. 
D. 
A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim.It costs the company $1.34 to make each dog and $1.64 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the constraint inequality for trim?
A. 1, 2 B. 1, 1 C. 4, 3 D. 1.34, 1.64