Six teams ( A , B , C , D , E , and F ) are entered in a softball tournament. The top two seeded teams ( A and B ) have to play only three games; the other teams have to play four games each. The tournament pairings are A plays against C , E , and F ; B plays against C , D , and F ; C plays against every team except F ; D plays against every team except A ; E plays against every team except B ; and F plays against every team except C . Draw a graph that models the tournament.
Six teams ( A , B , C , D , E , and F ) are entered in a softball tournament. The top two seeded teams ( A and B ) have to play only three games; the other teams have to play four games each. The tournament pairings are A plays against C , E , and F ; B plays against C , D , and F ; C plays against every team except F ; D plays against every team except A ; E plays against every team except B ; and F plays against every team except C . Draw a graph that models the tournament.
Solution Summary: The author describes the required graph to model the given street-routing problem.
Six teams
(
A
,
B
,
C
,
D
,
E
,
and
F
)
are entered in a softball tournament. The top two seeded teams
(
A
and
B
)
have to play only three games; the other teams have to play four games each. The tournament pairings are
A
plays against
C
,
E
, and
F
;
B
plays against
C
,
D
, and
F
;
C
plays against every team except
F
;
D
plays against every team except
A
;
E
plays against every team except
B
; and
F
plays against every team except
C
. Draw a graph that models the tournament.
State University is about to play Ivy College for the statetennis championship. The State team has two players (A andB), and the Ivy team has three players (X, Y, and Z). Thefollowing facts are known about the players’ relative abilities:
X will always beat B; Y will always beat A; A will alwaysbeat Z. In any other match, each player has a12chance ofwinning. Before State plays Ivy, the State coach mustdetermine who will play first singles and who will play secondsingles. The Ivy coach (after choosing which two players willplay singles) must also determine who will play first singlesand second singles. Assume that each coach wants tomaximize the expected number of singles matches won bythe team. Use game theory to determine optimal strategies foreach coach and the value of the game to each team.
There were 77 athletes at the annual sports banquet who played on either the football team or the baseball team. If 54 were on the football team and 27 were on the baseball team, how many players were on both teams?
There were _________players on both teams.
A restaurant owner has a luncheon special that consists of a cup of soup, half of a sandwich, and a beverage. She wants to advertise that a different luncheon of three items can be purchased 365 days of the year for $4.99 apiece. If she has 10 different kinds of soup and 10 different kinds of sandwiches, how many different kinds of beverages are needed to provide at least 365 different luncheons? Round your intermediate calculations to one decimal place.
She will need at least___________________different beverages.
In a basketball league consisting of 12 teams, each team plays each of the other teamsexactly twice. How many league games will be played?
Chapter 5 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
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