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- In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition. and 6compete in both the fox-trot and tango competitions. How many dancers compete in the foxtrot or tango competitions?Suppose that three candidates-Woodward, Seiple, and Porter-are running in an election that will be decided by the plurality method with a runoff between the top two finishers if none of the candidates receives a majority of the votes. The results of the first ballot (plurality) are given next. Woodward 2315 Seiple Porter 1885 800 In a runoff election between Woodward and Seiple, what is the smallest percentage of Porter supporters that would need to vote for Seiple in order for Seiple to win the election?In Ms. Noime's math class there are 15 students out of which 4 will be selected to receive a special award. How many selections are there?
- F. Determine the answer to the following questions: 1. “In a factory, if both colors of widgets start production at the same time and run continuously, after how many minutes will their starting time align again?” Explain the steps and problem-solving strategy used to determine the answer. 2. Explain why the final answer is a greatest common divisor, least common multiple, or neither.A company team leader planned a Christmas party game wherein she distributed fifty cards numbered 1 to 30, to all 30 of her employees for a drawing. Five prizes are awarded: power bank, desk fan, microwave oven, flat screen TV, and a mystery box. How many ways are there to award the prizes if the employee holding card 13 does not win a prize? A. 142506 B. 14250600 C. 17100720 D. 118755One group (A) contains 120 people. One-fifth of the people in the group A will be set elected to win $100 fuel cards. There is another group (B) in another nearby town that will receive the same number of fuel cards, but there are 211 people in that group. What will be the ration of nonwinners in a group A to nonwinners in group B after the selections are made? Express your ration as a fraction or with a colon.
- The table shows the results of a country's census. 102 seats must be divided among the 15 states according to their populations. Use Jefferson's method with d = 34,000 to find each state's apportionment of congressional seats. A 243,517 332,334 B 49,650 75,733 68,498 272,050 484,072 141,909 181,013 J 351,880 433,448 K D 69,789 206,523 L E F N 82,143 G 630,204 H Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A 7 1 C 2 2 F G JFour candidates: Rhea , Charles ,John , and Wilson arerunning four Councilor. After the polls close, votes aretallied and the following results are obtained:Candidate and Number of votes:Rhea - 2,567 Charles - 2,445 John - 5,100 Wilson - 2,365b. How many votes were castsc. Using plurality method of voting which candidate wins?d. Did the winner receive a majority of the votes?Jimmy is at the Grand opening celebration of a supermarket. She spends a wheel with 10 equal size slices, as shown. The wheel has 7 black slices, 2 gray slices, and 1 white slice. When the wheel is spun the arrow stops on a slice at random. If the arrow stops on the border of two slices the wheel is spun again.
- A committee of fifteen people is having a meeting this afternoon. There are twenty one spaces to park but six are closed for renovation. The spaces are divided evenly in three different lots: L1, L2, 13, according to their distance to the meeting place. L1 being the closest and L3 the farthest. How many different ways can the people park their cars, assuming each person will park only one car and they prefer the closest lots? Oa. 2730 O b. 910 O. 1365 Od. 32.760The table shows the results of a country's census. 105 seats must be divided among the 15 states according to their populations. Use Adams's method with d = 36,300 to find each state's apportionment of congressional seats. A 331,986 236,749 55,924 70,160 66,143 278,150 475,658 123,382 B J 353,970 K 432,326 D 68,926 206,896 84,883 630,164 E N G H 179,965 ..... Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A B E OOO0OMarv & Sons advertised to hire a financial analyst. The company has received applications from 10 candidates who seem to be equally qualified. The company manager has decided to call only 3 of these candidates for an interview. If she randomly selects 3 candidates from the 10, how many total selections are possible?
