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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Fill in the blank with an appropriate word, phrase, or symbol(s).A table that summarizes the results of an election is called a(n) _______ table.
Fill in the blank with an appropriate word, phrase, or symbol(s).If a candidate receives a majority of first-place votes in an election, that candidate should be declared the winner. This criterion
Fill in the blank with an appropriate word, phrase, or symbol(s).The total population under consideration divided by the number of items to be allocated is called the standard _________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).A candidate who receives more than 50% of the votes in an election is said to have a(n) _______ of votes.
Determine an Euler circuit for the Havenwoods crime stopper group that begins with vertex J followed by vertex F.
Determine an Euler circuit for the Havenwoods crime stopper group that begins with vertex J followed by vertex G.
Determine an Euler circuit for the Havenwoods crime stopper group that begins with vertex B followed by vertex E.
Determine an Euler circuit for the Havenwoods crime stopper group that begins with vertex B followed by vertex A.
Determine an Euler path through the Southwestern states that begins with the state of Utah.
Use Fleury’s algorithm to determine an Euler circuit. There are many answers possible. A B C D E F
Draw four different graphs and then for each graph:a) determine the degree of each vertex.b) determine the sum of the degrees from all vertices from this same graph.c) determine the number of edges
Use Fleury’s algorithm to determine an Euler circuit. There are many answers possible. A B E F De G H
Use Fleury’s algorithm to determine an Euler circuit. There are many answers possible. A B C D E G H K L.
Use Fleury’s algorithm to determine an Euler circuit. There are many answers possible. C D Be
A connected graph is shown. For each graph, identify any(a) Bridges(b) Loops. A B C D E
Use Fleury’s algorithm to determine an Euler circuit. There are many answers possible. A B C E IF G H.
A connected graph is shown. For each graph, identify any(a) Bridges(b) Loops. A B Ce D E
A connected graph is shown. For each graph, identify any(a) Bridges(b) Loops. A B D. G H
In Exercises, a connected graph is shown. For each graph, identify any (a) Bridges (b) Loops. A D 151 B E F C G
Use Fleury’s algorithm to determine an Euler path. There are many answers possible. B А C D
Create a minimum-cost spanning tree that would serve as the least expensive way to provide sheltered sidewalks between major buildings on your college campus. Assume that the cost per foot is the
The map of the Temple Hills subdivision is shown below. Use a graph to represent the streets in this subdivision. Use letters to label the vertices. Stream Circl Brook Ave. Lake Water St. Occan Blvd.
Yilan lives in Boston, Massachusetts, and works for the e-commerce company Wayfair. Yilan wishes to visit company warehouses in the following locations: Madison, WI; Princeton, NJ; Salem, OR; and
Recall Joe runs a gym-cleaning service. Joe is also responsible for locking the doors of four other gyms.a) Represent each floor plan as a graph. Use the letters shown to label the vertices of the
The map of the Marlow Heights subdivision is shown below. Use a graph to represent the streets in this subdivision. Use letters to label the vertices. Walnut St. Lake Lake Elm St. Park Lake Lake Pine
David, the chief executive officer of O’Reilly Auto Parts, is at his office in Springfield, Missouri, and wishes to visit his company’s distribution centers in the following locations: Bismarck,
Recall Joe runs a gym-cleaning service. Joe is also responsible for locking the doors of four other gyms.a) Represent each floor plan as a graph. Use the letters shown to label the vertices of the
The first floors of the floor plans offered by Amani Builders are shown. Use a graph to represent each floor plan. Use the letter O, near the top or the bottom of the graph, to represent the outside
Recall Joe runs a gym-cleaning service. Joe is also responsible for locking the doors of four other gyms.a) Represent each floor plan as a graph. Use the letters shown to label the vertices of the
The first floors of the floor plans offered by Amani Builders are shown. Use a graph to represent each floor plan. Use the letter O, near the top or the bottom of the graph, to represent the outside
Recall Joe runs a gym-cleaning service. Joe is also responsible for locking the doors of four other gyms.a) Represent each floor plan as a graph. Use the letters shown to label the vertices of the
The first floors of the floor plans offered by Amani Builders are shown. Use a graph to represent each floor plan. Use the letter O, near the top or the bottom of the graph, to represent the outside
To celebrate his retirement, Baron (B) wishes to ride his motorcycle to visit his friends Woody (W), Marcellus (M), and Simeon (S). The approximate distances between the homes of these friends are as
Renata wishes to install an irrigation system in her backyard to water all six of her flower beds. The flower beds include juniper (J), bougainvillea's (B), geraniums (G ), orchids (O), azaleas (A),
Several communities in eastern Pennsylvania wish to establish a commuter rail train system between the cities shown in the map below (distances are in miles).a) Use Kruskal’s algorithm to determine
The first floors of the floor plans offered by Amani Builders are shown. Use a graph to represent each floor plan. Use the letter O, near the top or the bottom of the graph, to represent the outside
Determine the minimum-cost spanning tree for the following graph. A 3 B 18 C 6 15 21 24 D 12 E 27 F.
Joe is creating a modern art sculpture that needs to have electricity available at five different sites. The figure below shows the items included in the sculpture. The distances shown are in
Josefina wishes to install an irrigation system to water her five flower gardens. The distances in feet between her gardens are shown in the figure below.a) Represent this information with a weighted
Song needs to run errands on the campus of Pima Community College. She is in her office and needs to go to the duplicating center, student center, and library. She estimates the walking distances as
Determine the minimum-cost spanning trees for the given graph. B 13 C 10 66 97 21 D 12 E F
The maps of states that the Jugo family is planning to visit on future vacations are shown. Represent each map as a graph where each vertex represents a state and each edge represents a common border
The maps of states that the Jugo family is planning to visit on future vacations are shown. Use these graphs to complete the exercises.Southeastern statesa) Represent the map as a graph. Use the
The maps of states that the Jugo family is planning to visit on future vacations are shown. Represent each map as a graph where each vertex represents a state and each edge represents a common border
The Florida State League is a minor league baseball organization with teams in Bradenton, Charlotte County, Clearwater, Daytona, Dunedin, Fort Myers, Jupiter, Lakeland, Osceola County, Palm Beach,
The maps of states that the Jugo family is planning to visit on future vacations are shown. Use these graphs to complete the exercises.Northwestern statesa) Represent the map as a graph. Use the
Use the graph below to answer the following questions.On the graph, is it possible to determine a circuit that begins and ends with vertex C and contains all the other vertices exactly once? If so,
Use the graph below to answer the following questions.a) On the graph, is it possible to determine a path that begins with vertex C, contains all the edges exactly once, and ends with vertex B? If
Use the graph below to answer the following questions.a) On the graph, is it possible to determine a path that begins with vertex B, contains all the edges exactly once, and ends with vertex C? If
Use the graph below to answer the following questions.a) Is A, C, B, E, D a path? Explain.b) Is D, E, C, B, A a path? Explain.c) Is D, E, C, B, A a circuit Explain.d) Is D, E, C, A, B, D a circuit?
Use a tree to show the parent–child relationships in the following family. Beth has three children: Kevin, Demarius, and Teri. Kevin has one child, Chris. Demarius has two children: Michelle and
Use the graph below to answer the following questions.a) Is A, B, C, D, E a path? Explain.b) Is A, B, C, E, D a path? Explain.c) Is A, B, C, E, D a circuit? Explain.d) Is A, B, D, E, C, A a circuit?
Create a graph with the given properties. There are many possible answers for each problem.Four odd vertices and one loop
Determine two different Hamilton paths in each of the following graphs. B D A G L K
Use the following graph.Is it possible to determine an Euler path that begins with vertex D? If so, determine one such Euler path. B Ce D F
Create a graph with the given properties. There are many possible answers for each problem.Three even vertices and one loop.
Use the following graph.Is it possible to determine an Euler circuit that begins with vertex C? If so, determine one such Euler circuit. B Ce D F
Determine two different spanning trees for the given graph. There are many possible answers. A B C D E F G H
Use the following graph.Is it possible to determine an Euler path that begins with vertex B? If so, determine one such Euler circuit. B Ce D F
Use the following graph.Is it possible to determine an Euler path that begins with vertex A? If so, determine one such Euler path. B Ce D F
Determine two different Hamilton paths in each of the following graphs. A B E F G H
Use the following graph.Is it possible to determine an Euler circuit for this graph? If so, determine one such Euler circuit. A Be D E
Use the following graph.Is it possible to determine an Euler circuit that begins with vertex E? If so, determine one such Euler circuit. A Be D E
Use a tree to show the parent–child relationships in the following family. Cengiz has two children: Kimber and Robby. Kimber has three children: Pierre, William, and Samuel. Robby has three
Fill in the blanks with an appropriate word, phrase, or symbol(s).A bridge is an edge that, if removed from a connected graph, would create a(n) ________ graph.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The method discussed in this section that will determine an approximate solution to a traveling salesman problem is the nearest
Use the following graph.a) Is it possible to determine an Euler path that begins with vertex C? If so, determine one such Euler path.b) Is It possible to determine an Euler path that begins with
Fill in the blanks with an appropriate word, phrase, or symbol(s).The number of edges that connect to a vertex is called the ________ of the vertex.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The method discussed in this section that will determine the optimal solution to a traveling salesman problem is the brute ________
Fill in the blanks with an appropriate word, phrase, or symbol(s).To determine the minimum-cost spanning tree for a weighted graph, we can use ________ algorithm.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A path that begins and ends with the same vertex is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).In a traveling salesman problem, the Hamilton circuit with the lowest associated cost or shortest distance is called the ________
Fill in the blanks with an appropriate word, phrase, or symbol(s).The least expensive spanning tree of all spanning trees under consideration is called the ________ spanning tree.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A sequence of adjacent vertices and the edges connecting them is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Every complete graph has a Hamilton circuit but not necessarily a(n) ________ circuit.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A connected graph has neither an Euler path nor an Euler circuit, if the graph has more than two ________ vertices.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A tree that is created from another graph by removing edges while still maintaining a path to each vertex is called a(n) ________
Fill in the blanks with an appropriate word, phrase, or symbol(s).An edge that connects a vertex to itself is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A graph that has exactly one edge between each pair of vertices is called a(n) ________ graph.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A connected graph has at least one Euler path, but no Euler circuits, if the graph has exactly ________ odd vertices.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A tree does not have any Euler or Hamilton ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A line segment in a graph is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A path that begins and ends at the same vertex and passes through all other vertices of a graph exactly one time is called a(n)
Fill in the blanks with an appropriate word, phrase, or symbol(s).A connected graph has at least one Euler path that is also an Euler circuit, if the graph has ________ odd vertices.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If you remove any edge in a tree, it creates a(n) ________ graph.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A point in a graph is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A graph that has numbers along the edges to indicate cost or distance is called a(n) ________ graph.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A circuit that passes through each edge of a graph exactly one time is called a(n) ________ circuit.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A connected graph in which each edge is a bridge is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A finite set of points connected by line segments is called a(n) ________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Problems that generally involve seeking the least expensive or shortest way to travel among several locations are called traveling
Fill in the blanks with an appropriate word, phrase, or symbol(s).A path that passes through each edge of a graph exactly one time is called a(n) ________ path.
Assume the annual day care cost per child is normally distributed with a mean of $12,000 and a standard deviation of $2000.What percent of day care costs are more than $17,000 per child annually?
Assume the annual day care cost per child is normally distributed with a mean of $12,000 and a standard deviation of $2000.What percent of day care costs are more than $13,200 per child annually?
What percent of students who took the test have a mathematics score below 300?Assume that the mathematics scores on a placement test are normally distributed with a mean of 500 and a standard
Use the following data, which show the number of children per family for 20 families.Determine the following.Standard deviation 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Use the following data, which show the number of children per family for 20 families.Determine the following.Range 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
In 1790, the first United States census was taken. The following table shows the population of the 15 states at that time. One hundred five seats in the United States House of Representatives were to
How can you determine whether a distribution is approximately normal? A statistical theorem called Chebyshev’s theorem states that the minimum percent of data between plus and minus K standard
Assume the annual day care cost per child is normally distributed with a mean of $12,000 and a standard deviation of $2000.In a random sample of 120 families that use day care, how many pay between

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