For this question, use the 68-95-99.7 rule. A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams. a. Sketch a normal curve and label the axis using the mean and standard deviation. Be sure to label one, two, and three standard deviations on either side of the mean. b. Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh between 7 grams and 13 grams? c. Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh less than 9 grams? d. Approximately 68% of all the spider weights would occur between what two weight values? e. What is the z-score of a spider in this colony that weighs 15 grams? f. What percent of spiders in the colony weigh more than 15 grams?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a cube with a side length of 12 feet a cone with a diameter of 12 feet and a height of 10 feet a square pyramid with a base side length of 12 feet and a height of 9 feet a hemisphere with a diameter of 12 feet marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm. in order to marion to ride her bicycle 96,712 cm, approximately how many rotations will the rear wheel make? 350 15.9 376 5133 an isosceles trapezoid has perimeter of 42 inches. each of the congruent nonparallel sides is 5 inches long, and the trapezoid is 3 inches tall. how long are the two parallel sides? 10 inches and 16 inches 12 inches and 20 inches 16 inches and 16 inches 10 inches and 22 inches

The standard deviation for a set of data is 5.5. the mean is 265. what is the margin of error?

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?