Suppose f(x) is continuous on the interval [0,1] with 0< = f(x)< = 1 for all x. prove that f has a fixed point; that is, there exists a c in the interval [0,1] such that f(c) = c. (hint: you need to use the intermediate value theorem on the function h(x) = f(x) – x.)

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?

Someone answer asap for ! the total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?