Sonya and Jade are traveling from Barcelona to Madrid. They are deciding between 333 different types of transportation (bus, train, and plane) and 222 different times (morning and evening). They each created a display to represent the sample space of randomly picking a type of transportation and a time. Whose display correctly represents the sample space? Choose 1 Choose 1 (Choice A) A Sonya only (Choice B) B Jade only (Choice C) C Both (Choice D) D Neither Sonya's display: \quad Jade's display: \text{B}= \text{Bus} \\ \text{T}= \text{Train} \\ \text{P}= \text{Plane}B=Bus T=Train P=Plane \text{M}= \text{Morning} \\ \text{E}= \text{Evening}M=Morning E=Evening \quad

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)

Travis and paula went to lunch. travis ordered a sandwich for $7.50 and paula ordered a burger for $5.25.after lunch, they left a 15% tip for the waiter. how many money did they spend altogether?