The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is summarized by type of transformation completed: Total Textural Transformation Yes No Total Color Transformation Yes 243 24 No 13 20 A naturalist randomly selects three leaves from this set, without replacement. Determine the following probabilities. (a) Exactly one has undergone both types of transformations. (b) At least one has undergone both transformations. (c) Exactly one has undergone one but not both transformations. (d) At least one has undergone at least one transformation. Round your answers to four decimal places (e. g. 98.7654).

Amajor grocery store chain is trying to cut down on waste. currently, they get peaches from two different distributors, whole fruits and green grocer. out of a two large shipments, the manager randomly selects items from both suppliers and counts the number of items that are not sell-able due to bruising, disease or other problems. she then makes a confidence interval. is there a significant difference in the quality of the peaches between the two distributors? 95% ci for pw-pg: (0.064, 0.156)

Jim had 15 minutes to do 5 laps around his school what would his time be

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?