(A) Find the mean and standard deviation of the sampling distribution of p. Describe the shape of the sampling distribution. (B) What is the probability that the sample proportion would be between 0.4 and 1.0? (C) What is the probability that less than 135 out of 300 households would prefer the new toothpaste package?

A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China. Find the length and width of a similar rectangular screen if the length is 5 meters more than 5 times its width, and the viewable area is 4,650 square meters. length = ? m width = ? m

A cell phone company charges $50 for unlimited calls and $0.25 per text message. Another cell phone company charges $0.15 per text message and$70 for unlimited calls. How many text messages would have to be sent for the plans to cost the same amount?

A doctor receives two invoices for an order including gloves and masks. The first order cost $605 and included 2000 gloves and 500 masks while the second order of 10000 gloves and 600 masks cost $916 dollars. The invoice does not show the cost of the gloves or masks. Find the cost of each glove and of each mask.