Lewis has a bag of colored marbles. the bag contains 24 red marbles, 36 blue marbles, and 60 yellow marbles. what are the ratios of the number of red marbles, blue marbles, and yellow marbles to the total number of marbles? a. red = 1: 5; blue = 3: 10; yellow = 1: 2 b. red = 2: 3; blue = 3: 5; yellow = 1: 2 c. red = 1: 5; blue = 3: 5; yellow = 1: 2 d. red = 1: 2; blue = 3: 10; yellow = 1: 5

Factor -8x3-2x2-12x-3 by grouping what is the resulting expression?

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.