Sam and taylor own and operate a car wash service. sam cleans the interior of each car and taylor cleans the exterior. the time it takes sam to finish the interior has a mean of 20 2020 minutes with a standard deviation of 6.4 6.46, point, 4 minutes. the time it takes taylor to finish the exterior has a mean of 18 1818 minutes with a standard deviation of 4.8 4.84, point, 8 minutes. both of their finishing times are approximately normally distributed. suppose we select a car at random, and define the random variable d dd as the difference between their finishing times. we can assume that their times are independent. find the probability that they finish within 10 1010 minutes of each other. you may round your answer to two decimal places. p ( ∣ d ∣ < 10 ) ≈ p(∣d∣< 10)≈p, left parenthesis, vertical bar, d, vertical bar, is less than, 10, right parenthesis, approximately equals

The jewelry store is having a sale. necklaces that were regularly priced at $23.50 are on sale for $18.80. what is the percentage of decrease in the price of necklaces?

Ican interpret and represent the remainder in division calculations sensibly for the context (eg if we wont to know how many 40 seat buses will be needed to transport 170 students for on excursion, we divide 170 by 40 and realise buses and another smaller vehicle to that we need 4 transport 10 more students) solve the following questions. show your work! 11) the zoo had 420 butterflies that needed to be transported to a new enclosure. the boxes that the butterflies would be moved in only hold 80 butterflies in each. how many boxes would they need? 2 12) each classroom in the school can have exactly 25 students, if there are 345 students in the school how many full classrooms are there?

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.