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Your friend believes that wombats are very intelligent creatures and that she would be able to train a group of them to do certain retrieval

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Your friend believes that wombats are very intelligent creatures and that she would be able to train a group of them to do certain retrieval tasks, such as bringing her a fork or collecting the mail. Based on her reading the works of psychologist Hermann Ebbinghaus, she believes that the average number of tasks her group of wombats would be able to remember can be modeled by the equation: log P = log P, - clog(/ +1) where " is the average number of tasks the wombats remember at t weeks after being taught /, tasks. (c is a constant that depends on the type of task. The type of tasks we are studying are retrieval tasks.] a.) Determine the value of c, if the group of wombats would remember an average of 3 retrieval tasks 2 weeks after being taught 7 retrieval tasks. (Round your answer to 4 decimal places.) .) Using your answer from part a, what is the average number of retrieval tasks the wombats remember after 6 weeks? (Round your answer to 2 decimal places.) c.) Your friend believes that individuals in the group will forget different tasks (one of the wombats will remember how to bring her a banana !), so she won't need to retrain the wombats until the average number of tasks remembered falls to 1. How long will this take? (Round your answer to 2 decimal places.)

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