The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $1 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 715 cookies before the drawing. Lisa bought 18 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
A. $0.83
B. $1.78
C. $31.19
D. $0.81
E. $32.00
Answer: D
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, 3) are the points at which a particular diameter of a circle intersects the circle. What are the coordinates of the center of the circle?
A.
B.
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D.
The ? shape in the figure below is shown using 9 pixels in a 3 × 3 grid. The color levels are given to the right of the figure. Use the matrix that represents a digital photograph of the ? shape to solve the problem.
Using the same color levels from the instructions, write a 3 × 3 matrix A that represents the letter L in dark grey on a white background. Then find a 3 × 3 matrix B so that A + B lightens only the letter L from dark grey to light grey.
A.
A = ; B =
B.
A = ; B =
C.
A = ; B =
D.
A = ; B =
Evaluate the given binomial coefficient.
A. 0 B. 1 C. 2 D. 6
Use Cramer's Rule (if applicable) to solve the system of equations.
A. {(4, -3)} B. {(-3, -4)} C. {(3, -4)} D. {(-4, 3)}