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1. Five people enter a racquetball tournament in which each person must play every other person exactly once. Determine the total number of games that will be played.
2. When two pieces of rope are placed end to end, their combined length is 130 feet. When the two pieces are placed side by side, one is 26 feet longer than the other. What are the lengths of the two pieces?
3. There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third- graders than fourth-graders, how many third- graders are there in the school?
Suppose that an astronomer needs at least 13 hours of darkness to complete an observation. Using the function you found in Question 1, set up an inequality and solve it algebraically to determine between which two dates the observation can be..
A 1400 {rm kg} car traveling at a speed of 40 {rm m/s} skids to a halt on wet concrete where mu_k = 0.30. How long are the skid marks?
6.2.3 Determine whether the following statements are true or false (in (b), the symbol ( means 'proper subset'). Justify your answers. (a) If f7g 2 P(A), then 7 2 A and f7g 2/ A. (b) Suppose that A, B and C are sets such that A ( P(B) ( C and jAj = 2..
Suppose that he must add the same number of bags to each side. How many bags must he add to each side in order to balance the scale?
two cranes are lifting an object that weighs 20,240 pounds. One cable is at a 44.5 degrees from the horizontal and the other is 24.3 degrees on the opposite side from the horizontal. Find the tension of each cable of the cranes.
(a) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. Round your answer to 2 decimal places.
What is the probability that 154 or fewer college students in the sample send and receive text messages with their cell phones? Is this result unusual?
Give the x-values representing locations where/may have relative extrema points. Set up an equation whose solution is the x-value guaranteed by the Mean Value Theorem on the interval [-1, 1].
three wheels wrapped tightly together with a belt, each wheel has a radius of 10 cm. What is the length of the belt to the nearest mm?
Using the quadratic regression equation Predict the average county taxes for a house that is 20 years old.
The Communications Department at Mosaic, Ltd. is getting ready to produce the organization's annual report that will be distributed to all investors and stockholders. Yvonne, who normally oversees the production and printing of this high-end repor..
Probability Theory Applied to House Sales. The probability that house sales will increase over the next six months is estimated at .25. It is also estimated that the probability is .74 that 30 year fixed-loan mortgage rates
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