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- The Powerball lottery is played twice each week in 28 states, the Virgin Islands, and the District of Columbia. To play Powerball a participant must purchase a ticket and then select five numbers from the digits 1 through 55 and a Powerball number from the digits 1 through 42. To determine the winning numbers for each game, lottery officials draw five white balls out of a drum with 55 white balls, and one red ball out of a drum with 42 red balls. To win the jackpot, a participant's numbers must match the numbers on the five white balls in any order and the number on the red Powerball. Eight coworkers at the ConAgra Foods plant in Lincoln, Nebraska, claimed the record $365 million jackpot on February 18, 2006, by matching the numbers 15-17-43-44-49 and the Powerball number 29. A variety of other cash prizes are awarded each time the game is played. For instance, a prize of $200,000 is paid if the participantť's five numbers match the numbers on the five white balls (Powerball website,…Suppose that a small country with a population of 2,800,000 that consists of four states, A, B, C, and D. There are 140 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A В Total Population 490,000 1,094,000 342,200 873,800 2,800,000 ... a) Determine the standard divisor. The standard divisor is (Simplify your answer.)Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are 22 vice presidents to be apportioned between the offices. Office Employees Boston Chicago 153 1220 (a) Use the Hamilton method to find each office's apportionment of vice presidents. Boston Chicago (b) The corporation opens an additional office in San Francisco with 145 employees and decides to have a total of 24 vice presidents. If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain. Yes. Boston lost a vice president and Chicago gained one. Yes. Chicago lost a vice president and Boston gained one. O Yes. Both Boston and Chicago lost a vice president. No. Both Boston and Chicago gained a vice president. O No. The number of vice presidents in Boston and Chicago remained the same.
- The table shows the results of a country's census. 102 seats must be divided among the 15 states according to their populations. Use Webster's method with d = 35,500 to find each state's apportionment of congressional seats. 331,298 353,865 432,285 67,893 203,003 235,263 В 54,758 J 70,417 67,617 272,331 474,414 K E 85,947 630,598 N G 141,816 H 178,320 Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A C D E OODDOA school group is deciding how to line up its 10 members for a photo. The president will go first. How many possibilities are there for the remaining spots?K A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 28 choices of logo color, 13 choices of liner color, and 47 choices of strap pad color. There are 3 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible? …... There are different bags possible. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to three decimal places as needed.)
- There are 49 local police, 10 federal agents, and 36 state police involved with drug enforcement in Metro City. A special thirteen-person task force will be formed to investigate a particular case. Officers will be assigned to this task force with membership proportional to the number of the three types of law enforcement officers. a. Apportion this task force using the Hamilton method. b. Now increase the task force's size to 14, and then to 15, and so on, redoing the apportionment each time until an Alabama paradox occurs. c. What is the first size above 13 when the paradox occurs, and what group loses an officer when the size of the task force increases? a. With 13 members, the task force consists of member(s) from the local police, federal agent(s), and member(s) from the state police.A sample of 337 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 43 42 18 19 Suburban 24 23 19 28 Rural 15 49 35 22 What is the relative frequency of people in the sample whose highest degree is a two-year degree? Round your answer to two decimal places.Specturm has 30,000 employees in thee cities as shown in the table below.It wishes to give promotions to 200 employees. Apportion the promotionsusing Hamilton’s method.
- A sample of 397 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. No college degree Two-year degree Four-year degree Advanced degree Urban 47 38 22 47 Suburban 47 29 15. 42 Rural 16 41 15 38 What is the relative frequency of people in the sample whose highest degree is a two-year degree? Round your answer to two decimal places. SFrom 9 names on a ballot, a committee of 5 will be elected to attend a political national convention. How many different committees are possible? And is this a counting or combination problem?please do not provide oslution in image foirmat thank you!
