Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition)

Chapter 13

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Union ; When the two sets,  and , are combined, a ... more

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Intersection ; The intersection of two sets, , is ... more

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If the two sets have elements in common, then ... more

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The universal set  consists of all of the elements... more

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subset ; A subset of  is a set of any of the ... more

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infinite ; The set of nonnegative integers is the ... more

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; The notation  is used to represent the number ... more

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Let's consider a specific example.  How many ... more

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, , , , , , , , , ,, , , , , ; The subsets of a ... more

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, , , , ,, , , , , , , , , , , , , ,  , , , , , ; ... more

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; Given , , , substitute these values into . ; ... more

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; Given , , and , substitute these values into... more

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; Given , , and , substitute these values into... more

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; Given  and , substitute these values into . ; ... more

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; The number of elements in set  are all of the ... more

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; The number of elements in set  are all of the ... more

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; The number of elements in  or  is the number of... more

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; The number of elements in  and  is the number ... more

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18 ; The number of elements in  but not in  is . ... more

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27 ; Determine , where .Find . ; Find . ; Find... more

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; The number of elements in  and   and  is the ... more

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52 ; The number of elements in  or  or  isFirst, ... more

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different arrangements ; The multiplication ... more

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\(40\ ) different arrangements ; The ... more

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numbers ; Determine the number of choices for ... more

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numbers ; Determine the number of choices for ... more

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purchase neither, only purchase a car.  ; Let the... more

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students participated in survey. ; Let the ... more

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There are 8 different blood types. ; Blood is ... more

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480 different portfolios ; The multiplication ... more

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The local comic book store had 240 customers ... more

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Counting an infinite set sounds like a daunting ... more

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The equation is an equation for a circle. Identify... more

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-2, 5, 2 ; Factor . ; Find the real zeros of  ... more

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; Write the left side of the equation as a single... more

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1 ; By definition, zero factorial equals 1: .By ... more

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First expand (n+1)! Second, replace  with  in   ... more

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permutation ; In a permutation, order is important... more

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Combination ; In a combination, order is not ... more

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; is the number of objects.  is the number of ... more

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; is the number of objects.  is the number of ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and ; Substitute the values ... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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; Identify  and . ; and . ; Substitute the values... more

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{abc, abd, abe, acb, acd, ace, adb, adc, ade, aeb... more

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{ab, ac, ad, ae, ba,bc, bd, be, ca, cb, cd, ce,da... more

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; Write all of the possible arrangements of... more

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; Write all of the possible arrangements of... more

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; Determine all the possible combinations of... more

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, ; Determine all the possible combinations of... more

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, ; Determine all the possible combinations of... more

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, ; Determine all the possible combinations of... more

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; Determine the number of choices possible for ... more

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; Determine the number of choices possible for ... more

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; Determine the number of choices possible for ... more

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; Determine the number of choices possible for ... more

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; Determine how many people you have to choose ... more

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; Determine how many boxes you have to choose ... more

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; Determine how many choices there are for the ... more

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; Determine how many choices there are for the ... more

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; First, look at the number of one-letter, two-... more

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; First, look at the number of four-letter and ... more

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; A committee of four people named Jack, Susan, ... more

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; A committee of three professors named Jack, ... more

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; Determine how many statements are on the test... more

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; Determine how many questions are on the test... more

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; Determine how many there are to choose from... more

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; Determine how many choices there are for the ... more

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; Determine how many choices there are for the ... more

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; First, look at how many ways boys can be chosen... more

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; First, look at how many ways A's can be chosen.... more

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; Determine how many of each letter are in the ... more

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; Determine how many of each letter are in the ... more

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; Note: this exercise has some very large numbers... more

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; Determine how many ways LM can be picked from ... more

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; Determine how people there are to choose from ... more

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; The ninth position in the order has already ... more

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; A team has nine people.One of the people plays ... more

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; The winner is the first team to win four games... more

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; Since 3 of the 5 positions are already filled, ... more

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; Determine how many ways  C can be picked from  ... more

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Six students are to be placed in two rows made up ... more

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Four people out of eight are to be chosen to ride ... more

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In a permutation, order is important and in a ... more

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; is a composite function.In , replace with .Don... more

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; Given , and .Insert these values into the ... more

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Equally likely ; When flipping a coin, there is a... more

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complement ; The set of all outcomes not included ... more

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To say the probability of an event is , is saying ... more

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If the sum of the probabilities in a sample space ... more

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, , , ; The probability of an event, , is limited ... more

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, , , ; The probability of an event, , is limited ... more

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Yes, it is a probability model. ; A probability ... more

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Yes, it is a probability model. ; A probability ... more

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No, it is not a probability model. ; A probability... more

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No, it is not a probability model. ; A probability... more

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; To construct a probability model, first ... more

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; To construct a probability model, first ... more

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  Each outcome has a probability of . ; To ... more

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Each outcome has a probability of . ; To construct... more

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Each outcome has a probability of . ; To construct... more

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Each outcome has a probability of . ; To construct... more

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; Determine the sample space of the experiment.... more

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; Determine the sample space of the experiment.... more

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; Determine the sample space. ; Determine how ... more

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; Determine the sample space of the experiment... more

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; Determine the sample space of the experiment... more

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    ; Determine the sample space of the experiment... more

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, , , ; A probability model must meet two ... more

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; If the coin is fair, all of the probabilities ... more

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; If only tails comes up every time the coin is ... more

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; Let .Write in terms of . ; The sum of the ... more

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,  ; Let .Write in terms of . ; The sum of the ... more

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,   ; Let .Write in terms of . ; The sum of the ... more

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,     ,     ,,     ,     ; Let , , and .Write , , ... more

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,     ,     ,,     ,     ; A six can never be ... more

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; Determine how many elements in sample space. ; ... more

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; Determine how many elements in sample space. ; ... more

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; Determine how many elements in sample space. ; ... more

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; Determine how many elements in sample space. ; ... more

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; There are 5 W, 10 G, 8 Y, and 7 B.Determine the... more

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; There are 5 W, 10 G, 8 Y, and 7 B marbles.... more

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; Determine the sample space. ; Each event in the... more

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; Determine the sample space. ; Each event in the... more

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; Determine the sample space. ; Each event in the... more

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; Determine the sample space. ; Each event in the... more

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; Determine the sample space using the format (... more

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; Determine the sample space using the format (... more

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; Determine the sample space using the format (... more

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; Determine the sample space using the format (... more

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$$0.55$$ ; Simplify the equation. ; Insert into ... more

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0.1 ; Simplify the equation. ; Insert into the ... more

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0.7 ; Simplify the equation. ; and are disjoint.... more

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0 ; and are disjoint.So, .   ; more

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0.3 ; Simplify the right side of the equation. ; ... more

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0.5 ; Simplify the right side of the equation. ; ... more

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; Let represent the ones cleared.Let represent ... more

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; Let represent owners.Let represent non-owners... more

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; Let represent owners.Let represent non-owners... more

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; Let represent E.Let represent not E.is the ... more

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; Let represent gamblers.Let represent non-... more

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; Let represent s/t.Let represent not s/t.is ... more

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; Determine how many  and  there are in total... more

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; Determine how many  and  there are in total... more

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; If not , then  or .The probability of not , is ... more

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; If not , then  or .The probability of not , is ... more

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; Determine the sample space, .  ; Determine how ... more

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; Determine the sample space, . ;    ; Determine ... more

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; Determine how many with greater or equal to... more

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; Determine how many with between and . ; ... more

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; Determine how many with less than . ; ... more

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; Determine how many with more than . ; ... more

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; Let  be the probability of  people out  having ... more

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; Let  be the probability of  people out  having ... more

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; Determine the number of combinations of the ... more

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left, down  ; The standard form of the absolute ... more

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; Write the equation  in exponential form. ; ... more

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, , ; Write the , , and  coefficients in ... more

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; The subsets of a set are all possible ... more

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; Insert values into . ; Simplify the equation... more

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; Insert values into . ; Simplify the equation... more

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; Write all of the numbers contained in circle A... more

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; Determine by summing all of the numbers in ... more

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; The number of elements in A and C is the ... more

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; Determine the sum of the numbers that are only ... more

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; Determine the number only in B. ; Add this to ... more

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; Determine the numbers in circle B that are not ... more

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; Insert the values for and into . ; Simplify ... more

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; Insert the values for and into . ; Simplify ... more

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60 ; There different kinds, pure and poly.There ... more

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128 ; Each has possibilities, W or L.Use the ... more

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; This is a permutation because order is ... more

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; The position of each person is important.This ... more

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; This is a combination because order is not ... more

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; This is a multiplication counting problem.Each ... more

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; This is a multiplication counting problem.Each ... more

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; This is a multiplication counting problem.Each ... more

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; The first part of this problem involves ... more

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; Determine the total number. ; Determine the ... more

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; For the first question, determine the numbers ... more

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; The people taking P are all the numbers in the ... more

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; The number of people taking B, P, or C is the ... more

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; Determine the numbers where circles B and C ... more

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; Determine the numbers inside the P and/or C ... more

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; Expand the factorial ; Determine the product... more

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; Insert the values for and into . ; Simplify... more

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; Insert the values for and into . ; Simplify... more

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; This is a combination problem because order is ... more

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; This is a permutation involving objects that ... more

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; This is a permutation because order is ... more

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; Place inside the following boxes the number of ... more

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; Determine the sum of all of the probabilities ... more

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; The number of possible draws is a permutation ... more

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; The probability of rolling a is .The ... more

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,      ; Write the equation with zero on one side ... more

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The function given is quadratic.It is of the form... more

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Graph the equation . ; The graph of shifts the ... more

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; Write the equivalent form of the inequality... more

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; The rational zeros theorem will be used to ... more

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Domain: Range: Asymptote: ; Graph . ; The ... more

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2 ; if and only if .Write in exponential form. ; ... more

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; Use to rewrite the left side of the equation... more

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, , ; Use Cramer's rule to solve the system.... more

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; Determine the common difference, d.The sequence... more

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All of the probabilities given are greater than ... more

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; Determine the number of possible combinations ... more

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; The expected amount is the sum of the products ... more

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a loss of ; The expected value of was found in #3... more

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On average, every $1 T purchased will return ... more

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; The expected amount is the sum of the products ... more

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A PB ticket costs to purchase and must have a ... more

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