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A grab bag contains eleven wrapped boxes. Five of the boxes contain dolls and the other six contain puzzles. How many boxes must be taken to be sure that at least one box contains a doll and one box contains a puzzle?
A tank initially contains 100 gallons of brine in which 40 pounds of salt was dissolved. a brine containing 2 lb/gal of salt runs into the tank at the rate of 4 gal/min. Find the exact value of the real number y.
What are the values of a, b, and c in the quadratic formula given the equation 2x^2-4x=6
Find the slope. The slope of the line is nothing. (Type an integer or a fraction.)Find the y-intercept. The y-intercept is nothing. (Type an integer or a fraction.)
How far is the foot of the ladder away from the wall when the vertical rate of change of the top is the same (numerical amount) as the horizontal rate of change of the bottom of the ladder
Calculate the mean salary of the CFOs and based on measures of the center of the data; determine if the CFO salary data are skewed.
Suppose a fair coin is tossed n times. Each coin toss costs 'd' dollars and the reward in obtaining 'X' heads is aX^2 + bX. Find the expected value of the net reward.
A representative is to be selected from each of 3 departments in a small college. There are 7 people in the first department, 5 in the second department, and 4 in the third department.
At the beginning of an experiment, a scientist has 208 grams of radioactive goo. After 165 minutes, her sample has decayed to 6.5 grams.
a. Find the population density of the country, to the nearest tenth, in 1900 and in 1980. b. Find the percent increase in population density, to the nearest tenth of a percent, from 1900 to 1980.
What would be the selling price per pound for the prepackaged apples using a 30% markup based on cost? A 40% markup? A 50% markup?
A local theater charges $8 for adults and $5 for children. at the noon performance, there were twice as many children as adults and the total money collected was $576. How many children attended the show?
what is the probability that it alternates between states 1 and 2 for the first four observations (i.e., it occupies state 2, then state 1, then state 2, and finally state 1 again)?
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