Rdifferent balls b 1 , . . , b r are to be randomly put into n different urns u 1 , . . , u n (r ≤ n). what is the probability of the following events? (a) urns u 1 , . . , u r each contains exactly one ball; (b) no urn contains more than one ball; (c) urn u 1 contains exactly m balls (m ≤ r).

Which of the following is not a subset of {1,2,3}?

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %

Uestion 1(multiple choice worth 5 points) (05.02)alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. calculate the area of the isosceles trapezoid. isosceles trapezoid with top base 12 feet, bottom base of 18 feet, and height of 6 feet. 72 ft2 84 ft2 90 ft2 108 ft2