An engineering professor acquires a new computer once every 2 years. The professor can choose from three models: M1, M1, and M3. If the present model is M1, the next model can be M2 with probability 0.2, or M3 with probability 0.15. If the present model is M2, the probabilities of switching to M1 and M3 are 0.6 and 0.25, respectively. And, if the present model is M3, then the probabilities of purchasing M1 and M2 are 0.5 and 0.1, respectively. Represent the situation as a Markov chain.

Evaluate-27 ^4/3/8 a) - 81/16 b) 81/16 c) 16/81

Will possibly give brainliest and a high rating. choose the linear inequality that describes the graph. the gray area represents the shaded region. 4x + y > 4 4x – y ≥ 4 4x + y < 4 4x + y ≥ 4

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.