3. A college history course has a mean lecture time of 52 minutes with a standard deviation of 2 wines Suppose we randomly select n = 36 history lectures, what is the probability that the mean lecture time
exceeds the allotted class time of 50 minutes? Assume a normal distribution
(A) 0.9999
(B) 0.8413
(C) 0.1587
(D) 0.0001
(E) None of these is correct.

Someone answer asap for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

V=x^4-y^4 pick three expressions that can represent the three dimensions of the prism (each in meters)

Prove the following(cot0+cosec0)[tex](cot0 + cosec0) { }^{2} = \frac{1 + cos0}{1 - cos0} [/tex]