An excavation company has been contracted to supply 10 million cubic feet (cu. ft.) of dirt to a construction site. the company uses a bulldozer to collect dirt, which is then moved to by dump truck to the construction site. it costs the company $100 per hour to use the bulldozer, and it rents dump trucks at a rate of $40 per hour per truck. each dump truck can hold 1,000 cu. ft. of dirt, and it takes an average of 12 minutes for the bulldozer to load a dump truck with dirt. it takes an average of five minutes for a fully loaded dump truck to deliver the dirt to the construction site and returns to the bulldozer for another load. assuming that the time to load a dump truck and the time for a dump truck to deliver the dirt to the construction site and return to the bulldozer follow exponential distributions, determine the most appropriate queuing model for the dirt-moving process and then use that model to determine how many dump trucks to rent in order to minimize the expected cost of fulfilling the contract.

Germaine walks at the rate of 10 feet every five seconds while nolan walks at the rate of 15 feet every five seconds. if germaine has a head start of 25 feet, how many seconds will they be at the same spot?

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

For the chance to be team captain, the numbers 1-30 are put in a hat and you get two chances to pick a number, without replacement. which formula correctly shows how to find the probability that you choose the number 1 and then 2?