Allen has been asked to replicate a scientific diagram in his notebook. His teacher has told him that variations in lengths of up to 2 centimeters are acceptable. If a test tube is 7 centimeters long in the original diagram, write an equation to help Allen find the maximum and minimum acceptable lengths of the test tube in his diagram. ( let x represent the length of the test tube in the new diagram)

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

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?

5,678.321 what place value is the 1 in