g Captain Picard and the rest of the crew of the Enterprise are defending their position on themoon Yavin IV against the evil robotic Cylon invaders. Each day of the battle, 1500 Cylons arriveat dawn, and throughout the day the crew is able to eliminate 70% of the Cylons on the battlefield.(a) LetCnbe the number of Cylons on the planet at the end of the day on thenth day of thebattle. FindC1,C2, andC3.(b) Find an explicit formula for the number of Cylons at the end of the day on thenth day of thebattle.(c) In the long run, how many Cylons will be on the planet after a day of battle

Shiny white dental insurance costs $258 per year. approximately one-third of insured people need a filling, which averages $110 each. 80% of insured people get a preventive check-up each year, and the average cost of this visit is $95. if you consider shiny white’s income and expenses, what is the expected value of each insured customer?

You’re repairing a large rectangular aquarium. the final step is to cover the glass with a protective film. the front and back of the aquarium measure 4 meters by 2 meters, and the sides of the aquarium measure 3 meters by 2 meters. how many square meters of protective film do you need? ( )

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below. correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance. what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?