The average sales price of a single-family house in US is $290,600. You randomly select 12 single-family houses. What is the probability that the mean sales price is more than $265,000? Assume that the sales prices are normally distributed with a standard deviation of $36,000. a) b) c) d) Use CLT to find the µx and ox? Find the z-score that corresponds t- x = $265,000 Find the cumulative area that corresponds to the Z-score and calculate the probability. Interpret the results.

Let f(x) represent the total number of items a subject has memorized r hours after being presented with a long list of items to learn. Psychologists refer to the graph of y = f(x) as a learning curve and to f'(x) as the learning rate. Suppose that the learning rate is 10. 1.2 f(r) = -0.06r2+ +1 a. Find an equation for the learning curve with nothing memorized at the beginning. 1 of

Tayne has four square plastic recycling boxes that she wants to put on a shelf in her garage. Paper Metal Plastic Glass If the top opening of each box is 432 in?, how long does the shelf need to be? Leave your answer in radical form (not decimal).

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