Use the following theorem. = If F(s) L{f(t)} and n = 1,2,3, dots, n n then L{i" f(1)} = (- 1)" d² _F(s). ds n Evaluate the given Laplace transform. (Write your answer as a function of s .) L{4t cos(t)}

CLV = Profit per year X Number of years as a customer (lifetime) less customer acquisition costs And we can use the churn rate % to tell us how many years our average customer stay by dividing 1/churn rate. In our case that is 1/20% = 5 years = customer lifetime. A supermarket chain ran a social media campaign and they got 2,000 new customers. The TOTAL cost of the campaign was $250,000. These customers visited the supermarket 25 times a year. Each customer spends $100 per visit and the supermarket makes a 4% profit margin on the customer’s spend. The retention rate of the customers is 60%. What is their CLV?   Assume that the profit margin is based on the customer’s non-discounted spend, then deduct the discount.

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I need answer typing clear urjent no chatgpt used i will give upvotes full explantion pls

Show that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.

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Please answer the dotted green question. Thank you

Calculate the moment of inertia the given shape with respect to x and y axes also with respect to center of gravity. Please can you solve it step by step and clearly ?.

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