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1. The sum of two numbers is 33 One number is 2 times as large as the other. What are the numbers?
2. The Scott family and the Roberts family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 25 L per hour. The water output rate for the Roberts family's sprinkler was 20 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1450 L. How long was each sprinkler used?
A farmer decides to enclose a rectangler garden, using the side of the barn to enclose one side of the area, what is the maximum area the farmer can inclose
A major league pitcher can throw a baseball in excess of 48.8 m/s. if a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 15.7 m away from the point of release?
What is sin(15o)? Hint: It may help to write this as sin(45o - 30o). Find the coordinates of the points of intersection of the line x + y = 1 with the circle x2 + y2 = 2
Samuel consumed 2129 calories of food on Monday, 2348 calories on Tuesday, and 1863 calories on Wednesday. In order for Samuel's average calorie intake to equal a daily average of 2200 calories, how many calories of food must he consume on Thursda..
Write a function that gives the total amount
A company's CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
Give a worst-case order-of-magnitude expression for the number of comparisons required as a function of n, and justify your expression.
Apply the algorithm described in Example for finding the closest pair of points, using the Euclidean distance between points, to find the closest pair.
Calculate the probability of drawing a King or a diamond
A local area network requires eight characters for a password. The first character must be a letter, but the remaining seven characters can either be a letter or a digit(0 through 9). How many passwords are possible for the local area network
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.
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
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