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Five players are dividing a cake among themselves using the lone-divider method. After the divider
a. Suppose that the choosers’ bid lists are
b. Suppose that the choosers bid lists are
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Chapter 3 Solutions
MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
- A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?arrow_forwardIn horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?arrow_forwardFour partners (Alonzo, Brenda, Camille, and Donald) are dividing a parcel of land valued at $240,000 among themselves using the lone divider method. Using a map, the divider divides the property into four parcels; 5₁, 52, 53, and s4. The following table shows the value of the four parcels in the eyes of each partner, but some of the entries in the table are missing. What was Brenda's bid list? 51 5₂ Alonzo $50,000 Brenda $40,000 $80,000 Camille $110,000 $40,000 $30,000 Donald $60,000 OA. (₂₂) OB. (₂4) 53 54 $50,000 $70,000 $55.000 OC. (₂.₂) OD. (₂.) OE. None of these CELLDarrow_forward
- Suppose there are 1000 votes cast in an election between three candidates: Olsen, Tate, and Alverez. The election is to be decided by plurality. After the first 850 votes are counted, the tallies are as follows: Olsen 343 Tate 315 Alverez 192 What is the minimal number of remaining votes Tate needs to be assured of a win?arrow_forwardQuestion 6 is unpinned. Click to pin. Question at position 6 Camila and Mark are going to divide a laptop and a computer desk using the Method of Sealed Bids. They place the following bids on the items. Camila bids $235 on the laptop, and $69 on the desk. Mark bids $56 on the laptop, and $45 on the desk. Camila, with higher bids on both of them, will take both items. To make the division fair, how much money will she have to give to Mark?arrow_forwardThree investors are dividing a piece of land worth $175,000. Each investor's value in thousands for each of the three pieces of the land is shown below. Which piece does each person receive and do they receive a fair share using the lone divider method? Piece B Marshall Sam Keisha Piece 1 46 25 35 C Od Piece 2 25 25 52.5 Marshall's bid: Piece 2 and Piece 3 Keisha's bid: Piece 3 70 87.5 b a Marshall receives Piece 2, Keisha receives 3, and Sam receives Piece 1. Everyone receives a fair share. Marshall receives Piece 3, Keisha receives 3, and Sam receives Piece 2. Everyone receives a fair share. Marshall receives Piece 2, Keisha receives 3, and Sam receives Piece 1. No one receives a fair share. Marshall receives Piece 2, Keisha receives 1, and Sam receives Piece 3. Everyone receives a fair share.arrow_forward
- . Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items a house and a car - using the method of sealed bids. The players' bids (in dollars) are: House Car A B 230000 235000 28000 33000 с 225000 32000 The original fair share of A is worth: $ In the initial allocation, player A: Select an answer D 223000 30000 and Select an answer the estate $ After all is said and done, in the final allocation, Select an answer player A: and Select an answer the estate $arrow_forwardc. Because Abed is the ten-thousandth customer at the mall, he receives a prize of an unknown number of candies. He gives one-third of them to his younger sister. He then eats one-fourth of the remaining candies and then he divides the rest among his 5 best friends. Each friend receives 3 candies. How many candies did he receive as a prize?arrow_forwardTo raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $6 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting th color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $7. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. P(X) Enter a fraction, integer, or exact decimal. Do not approximate (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. (c) Is this game fair? O Yes O Noarrow_forward
- Three players (A, B, and C) are dividing the array of 12 items shown below using the method of markers. The three players bids are as indicated in the figure. Indicate which player gets each item. Item 1 Item 2 Item 3 Item 4 Item 5 Item 6 Item 7 Item 8 Item 9 Item 10 Item 11 Item 12 Choose... Choose... Choose... Choose... Choose... Choose... Choose... Choose... Choose... Choose... 4 Choose... ♦ Choose... 7 B₂ 8 9 10 C₂ A₂ /२arrow_forwardJimmy 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.arrow_forwardRaina is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Raina spins the spinner once. She wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. She loses $8 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Raina expect in the long run, after playing the game many times? O Raina can expect to gain money. She can expect to win dollars per spin. O Raina can expect to lose money. She can expect to lose dollars per spin. O Raina can expect to break even (neither gain nor lose money). Submit Oarrow_forward
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning