At a farm, animals are fed bales of hay and buckets of grain. each bale of hay is in the shape a rectangular prism. the base has side lengths 2 feet and 3 feet, and the height is 5 feet. each bucket of grain is a cylinder with a diameter of 3 feet. the height of the bucket is 5 feet, the same as the height of the bale.

Both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue segment is 5. how long is the red line segment?

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?

45% of the trees in a park are apple trees. there are 27 apple trees in the park. how many trees are in the park in all?