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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

State whether each statement is true or false. If false, give the reason.{e} ∈ {a, e, i, o, u}
The set of years in which the cost of a Super Bowl commercial was greater than $3.5 million and less than $4.0 million.Use the graph, which shows the cost of a 30-second commercial, in millions of
The set of years in which the cost of a Super Bowl commercial was between $2.5 million and $3 million.Use the graph, which shows the cost of a 30-second commercial, in millions of dollars, during the
The set of years in which the cost of a Super Bowl commercial was less than $2.5 million.Use the graph , which shows the cost of a 30-second commercial, in millions of dollars, during the Super Bowl
The set of years in which the cost of a Super Bowl commercial was more than $3.0 million.Use the graph, which shows the cost of a 30-second commercial, in millions of dollars, during the Super Bowl
{x|x is a social network site with between 300 million and 800 million registered users}Use the following list, which shows the 10 social network sites with the most registered users, in millions, as
{x|x is a social network site with between 200 million and 500 million registered users}Use the following list, which shows the 10 social network sites with the most registered users, in millions, as
{x|x is a social network site with less than 100 million registered users}Use the following list, which shows the 10 social network sites with the most registered users, in millions, as of July 14,
{x|x is a social network site with at least 200 million registered users}Use the following list, which shows the 10 social network sites with the most registered users, in millions, as of July 14,
B = {John Lennon, Ringo Starr, Paul McCartney, George Harrison}Write a description of each set.
Write a description of each set.S = {spring, summer, fall, winter}
Write a description of each set.E = {x|x ∈ N and 4 ≤ x <11}
T = {oak, maple, elm, pine, . . .}Write a description of each set.
Write a description of each set.S = {Bashful, Doc, Dopey, Grumpy, Happy, Sleepy, Sneezy}
Write a description of each set.V = {a, e, i, o, u}
Write a description of each set.D = {3, 6, 9, 12, 15, 18, . . . }
Write a description of each set.A = {1, 2, 3, 4, 5, 6, 7}
Express each set in set-builder notation.F = {15, 16, 17,. . . , 100}
C is the set of months that contain less than 30 days.Express each set in set-builder notation.
A is the set of national holidays in the United States in July.Express each set in set-builder notation.
E is the set of odd natural numbers.Express each set in set-builder notation.
Express each set in set-builder notation.D = {5, 10, 15, 20,. . . , }
Express each set in set-builder notation.C = {3, 6, 9, 12, . . . }
Express each set in set-builder notation.A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Express each set in set-builder notation.B = { 7, 8, 9, 10, 11, 12, 13, 14}
The set of years in which Krispy Kreme sales were less than $700 million.Use the following graph, which shows Krispy Kreme sales, in millions of dollars, for the years 2010€“2014. Let the
The set of years in which Krispy Kreme sales were between $800 million and $900 million.Use the following graph, which shows Krispy Kreme sales, in millions of dollars, for the years
The set of years in which Krispy Kreme sales were less than $900 million.Use the following graph, which shows Krispy Kreme sales, in millions of dollars, for the years 2010€“2014. Let the
The set of years in which Krispy Kreme sales were greater than $900 million.Use the following graph, which shows Krispy Kreme sales, in millions of dollars, for the years 2010€“2014. Let
The set of cities in which the number of international visitors was between 12 million and 15 million.Use the following table, which shows the number of international visitors, in millions, to the 10
The set of cities in which the number of international visitors was between 12 million and 13 million.Use the following table, which shows the number of international visitors, in millions, to the 10
The set of cities in which the number of international visitors was less than 9 million.Use the following table, which shows the number of international visitors, in millions, to the 10 most visited
The set of cities in which the number of international visitors was greater than 10.5 million.Use the following table, which shows the number of international visitors, in millions, to the 10 most
The set of states in the United States that are not in the contiguous 48 states.Express each set in roster form.
Express each set in roster form.E = {x|x ∈ N and 14 ≤ x < 85}
The set of states in the United States that have a common border with the state of Washington.Express each set in roster form.
The set of football players over the age of 70 who are still playing in the National Football League.Express each set in roster form.
The set of states in the United States that have a common border with Alaska.Express each set in roster form.
Express each set in roster form.B = {x|x ∈ N and x is even }
Express each set in roster form.C = {x|x + 6 = 10}
The set of natural numbers between 10 and 178.Express each set in roster form.
The set of months whose names begin with the letter J.Express each set in roster form.
The set of states in the United States whose names begin with the letter H.Express each set in roster form.
The set of apple trees in Gro-More Farms OrchardsDetermine whether each set is finite or infinite.
The set of odd numbers greater than 15.Determine whether each set is finite or infinite.
The set of fractions between 1 and 2.Determine whether each set is finite or infinite.
The set of odd numbers greater than 25.Determine whether each set is finite or infinite.
The set of multiples of 3 between 0 and 40.Determine whether each set is finite or infinite.
Determine whether each set is finite or infinite.{1, 2, 3, 4, . . . }
The set of the most interesting teachers at your school.Determine whether each set is well defined or not well defined.
The set of astronauts who walked on the moon.Determine whether each set is well defined or not well defined.
The set of Academy Awards winners in 2014.Determine whether each set is well defined or not well defined.
The set of U.S. presidents under the age of 20 while in office.Determine whether each set is well defined or not well defined.
The set of the most interesting movies in 2015.Determine whether each set is well defined or not well defined.
The set of best musicians.Determine whether each set is well defined or not well defined.
The two ways to indicate an empty set are _________ and _________.Fill in the blank with an appropriate word, phrase, or symbol(s).
The set that contains no elements is called the __________ set.Fill in the blank with an appropriate word, phrase, or symbol(s).
The number of elements in a set is called the ____________ number of the set.Fill in the blank with an appropriate word, phrase, or symbol(s).
Two sets that contain the same number of elements are called _________ sets.Fill in the blank with an appropriate word, phrase, or symbol(s).
Two sets that contain the same elements are called ____________ sets.Fill in the blank with an appropriate word, phrase, or symbol(s).
A set that is not finite is called a(n) ________________ set.Fill in the blank with an appropriate word, phrase, or symbol(s).
A set that contains no elements or the number of elements in the set is a natural number is called a(n) ___________ set.Fill in the blank with an appropriate word, phrase, or symbol(s).
The three ways a set can be written are _____________ , ___________ , and ________Fill in the blank with an appropriate word, phrase, or symbol(s).
Three dots placed in a set to show that the set continues in the same manner is called a(n) __________.Fill in the blank with an appropriate word, phrase, or symbol(s).
A collection of objects is called a(n) ______________.Fill in the blank with an appropriate word, phrase, or symbol(s).
A Dime Look at a dime. Around the edge of a dime are many lines. Estimate the number of lines there are around the edge of a dime.
Calculate the actual time it would take, in days, to spend $1 million if you spent $1 a second. How close was your estimate?
There are three boxes on a table, each with a label. Thomas knows that one box contains grapes, one box contains cherries, and the third box contains both grapes and cherries. He also knows that the
Samantha went into a store and spent half her money and then spent $20 more. Samantha then went into a second store and spent half her remaining money and then spent $20 more. After spending money in
Rectangle ABCD is made up entirely of squares. The black square has a side of 1 unit. Find the area of rectangle ABCD. A D
How many triangles are in the figure?
Jaquan, Cindy, and Mark are musicians. One plays the guitar, one plays the saxophone, and one plays the drums. They live in three adjacent houses on Lake View Drive. From the following information,
Ray owns two cars (a Ford Mustang and a Ford Focus), a house, and a rental apartment. He has auto insurance for both cars, a homeowner’s policy, and a policy for the rental property. The costs of
Place five 1’s, five 2’s, five 3’s, five 4’s, and five 5’s in a 5 x 5 grid so that each digit—that is, 1, 2, 3, 4, 5—appears exactly once in each row and exactly once in each column.
Digital clocks display numerals by lighting all or some of the seven parts of the pattern shown. If each digit 0 through 9 is displayed once, which of the seven parts is used least often? Which part
Place the digits 1 through 8 in the eight boxes so that each digit is used exactly once and no two consecutive digits touch horizontally, vertically, or diagonally.
Five salespeople gather for a sales meeting. How many handshakes will each person make if each must shake hands with each of the four others?
Consider a domino with six dots as shown. Two ways of connecting the three dots on the left with the three dots on the right are illustrated. Using three lines, in how many ways can the three dots on
Stack of Cubes Identical cubes are stacked in the corner of a room as shown. How many of the cubes are not visible?
For a 3 by 3 magic square, how can you determine the sum of all the numbers in the square by using a key value in the magic square?Use the three magic squares illustrated to obtain the answers. 10 9
For a 3 by 3 magic square, how can you determine the sum of the numbers in any particular row, column, or diagonal by using a key value in the magic square?Use the three magic squares illustrated to
Examine the 3 by 3 magic squares and find the sum of the four corner entries of each magic square. How can you determine the sum by using a key number in the magic square?Use the three magic squares
Create a magic square by using the numbers 3, 4, 5, 6, 7, 8, 9, 10, and 11. The sum of the numbers in every column, row, and diagonal must be 21.
Create a magic square by using the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18. The sum of the numbers in every column, row, and diagonal must be 30.
If you make the three complete cuts in the cheese as shown, how many pieces of cheese will you have?
If the height of the woman in the photo is 62 in. tall, estimate the height of the tree.
The length of the torch of the Statue of Liberty, from the tip of the flame to the bottom of the torch€™s baton, is 29 feet. Estimate the height of the Statue of liberty from the top of the
If each square represents one square unit, estimate the area of the shaded figure in square units.
If each square represents one square unit, estimate the area of the shaded figure in square units.
Below is a photo of the keyboard of a phone.Certain businesses like to use a word to help people remember their phone number. For example, a doctor€™s office may use the word medical to
A palindrome is a number (or word) that reads the same forward and backward. The numbers 1991 and 43234 are examples of palindromes. How many palindromes are there between the numbers 2000 and 3000?
I have at least three ties. All my ties are red except two. All my ties are blue except two. All my ties are brown except two. How many ties do I have?
On the balance on the top of page 32, where should the one missing block be placed so that the balance would balance on the triangle (the fulcrum)? Assume that each block has the same weight. 5
How much do 10 pieces of candy cost if 1000 pieces cost $10?
Estimate the percent of area that is shaded in the following figures.
Estimate the percent of area that is shaded in the following figures.
Estimate, in degrees, the measure of the angles depicted. For comparison purposes a right angle, measures 90°.
Estimate, in degrees, the measure of the angles depicted. For comparison purposes a right angle, measures 90°.
Estimate the number of grapes shown in the photo.
Estimate the number of bananas shown in the photo.

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