At a carnival, a toy boat race costs $4 to enter. second place earns a prize worth $8, and third place earns a prize worth $5. if the probability of winning any of the prizes is , what should the first place prize be worth for the game to be fair? (a) $35(b) $23(c) $31(d) $41

Which best describes the transformation that occurs in the graph? a) dilation b) reflection c) rotation d) translation

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)

Aresearch study is done to find the average age of all u. s. factory workers. the researchers asked every factory worker in ohio what their birth year is. this research is an example of a census survey convenience sample simple random sample