college math prep b
a florist surveyed 35 people about the flowers desired in a bouquet daisies, roses, or lilies how many people preferred roses and lilies
wrong: 9
if A C B and A = {4, 8, 14, 20} which set could represent set B
wrong: {2, 4, 8, 14, 16}
if A = {a, b, c, d} B= {d, e, f, g, h} and C = {e, i, o, u} what is the union of the three sets
{a, b, c, d, e, f, g, h, i, o, u}
what is A U B
{a, b, c, d, e, f, i}
what is A N B
{c, i}
what is A'
{d, f, g, h}
the meteorologist says there is a 42% chance of rain tomorrow and a 23% chance of snow assume that it will not rain and snow at the same time what is the probability that it will not rain or snow tomorrow
35%
what is the probability that the outcome is less than 6
...
which answer describes mutually exclusive events
choosing an odd number or a multiple of 10
which diagram can be used to represent the possible outcomes for the pair of marbles
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which diagram represents all the possible outcomes of two numbers
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which diagram represents the possible outcomes of his choices
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which answer is an example of dependent events
picking several apples from a tree
what is the definition of sample space
the collection of all outcomes of an experiment
a spinner with 5 equal regions was spun 40 times what is the experimental probability that the blue region is spun
0.15
jana rolled a 6 sided die and got the results in the table what is the experimental probability of rolling a 5
0.15
which coin tossing experiments can be represented by the tree diagram
0.25 of 1 tossing 3 coins once tossing 3 coins twice 0 of 1 tossing a single coin 6 times tossing a single coin 3 times tossing 2 coins twice
which statements about these three series of events are true
0.5 of 1 dealing cards from a card deck is a series of dependent events hitting tennis balls using a tennis racket is a series of dependent events tossing a coin several times is a series of independent events 0 of 1 dealing cards from a card deck is a series of dependent events tossing a coin several times is a series of independent events hitting tennis balls using a tennis racket is a series of dependent events 0 of 1 dealing cards from a card deck is a series of independent events hitting tennis balls using a tennis racket is a series of independent events tossing a coin several times is a series of dependent events
what is the experimental probability it will be windy
0.57
what is the probability that the sum is less than 6
0.625
what are the possible outcomes of spinning the first spinner followed by the second spinner
1-black, 1-white, 2-black, 2-white, 3-black, 3 white, 4-black, 4-white
when 3 magazines are taken from the shelf at random without replacement what is the probability that all 3 are architecture magazines
1/12
if A = {8, 12, 16, 20} and B = {12, 16, 20, 24, 28} what is the value of P(A and B)
1/2
a 6 sided die is rolled a single time what is the probability that the result is not a factor of 6
1/3
a jar on a desk contains 10 blue 12 green and 8 orange gumballs what is the theoretical probability that you will draw a blue gumball
1/3
what is the probability that the 2 books consist of 1 mystery and 1 biography
1/3
a single card is chosen at random from a standard deck of 52 playing cards the deck contains four cards numbered 2 what is the probability of not choosing a card that is a 2
12/13
what is the probability that the sum is less than or equal to 5
2/3
a 6 sided die is tossed 3 times how many outcomes are in the sample space
216
a teacher fills a bag with 3 tiles of each letter of the alphabet a boy reaches into the bag and pulls out 1 tile how many different outcomes are possible in this experiment
26
what is the probability of randomly selecting a blue card than a purple card without replacement
3/19
what is the probability of randomly selecting a blue card then a purple card with replacement
3/20
a gumball machine contains 5 blue gumballs 4 red gumballs and 9 orange gumballs what is the theoretical probability of getting a blue gumball
5/18
when a nail is chosen at random what is the probability that it is less than an inch or greater than 2 inches
5/7
what is the probability that a person selected at random is from phoenix or scottsdale
5/8
what is the value of P(A or B)
7/12
how many words could she make up
8,575
how many choices are there for a meal that consists of an entree a salad and a dessert
96
which of the regions are in A U B
II III I
what is the theoretical probability of drawing a 2 from the deck
P(2) = 1/13
which events are mutually exclusive
a time between 1 pm and 4 pm or a time between 9 am and 12 pm a time between 9 am and 3 pm and a time between 4 pm and 8 pm a time before 12 pm and a time after 12 pm
how do you find the experimental probability that a kindergartner is taller than 48 inches
determine the number of kindergartners who are taller than 48 inches and divide that by the total number of kindergartners
paul bought a gumball from a gumball machine in the convenience store every day and recorded the colors of the gumball how do you find the experimental probability that he got a red gumball
divide the number of red gumball by the total number of gumballs
a teacher hands out markers for a class project she has 40 markers in 8 colors each student gets one marker for the project how can you find the theoretical probability of a student getting a red marker
divide the number of red markers by the total number of markers the teacher has
which of these statements are true
experimental probability requires counting the total number of trials experimental probability requires counting the number of occurrences of an event
match each term with the correct description
experimental probability: how likely an event is to occur based on data probability: how likely an event is to occur theoretical probability: how likely an event is to occur based on mathematical reasoning
how is the theoretical probability of an event determined
the number of favorable outcomes is divided by the number of total outcomes
which series of events is an example of independent events
throwing darts at a dart board
if he decided beforehand to get 2 different sides how many different combinations could he order
wrong: 120
at a school event students were given the option of playing tennis or basketball these data were recorded how many students did not choose tennis
wrong: 6
as a healthy snack students were offered a banana or kiwi these data were recorded how many students did not choose kiwi
wrong: 8
which of the regions are in A'
III IV
a baker surveyed 39 people about the flavors desired in a dessert vanilla, lime, or chocolate how many people preferred vanilla or chocolate
wrong: 8
what is A N B
{12}
if set X = {1, 2, 3, 4, 5} which set is a subset of set X
{2, 4}
let U be a universal set that contains multiples of 5 between 5 and 50 U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} suppose X = {15, 30, 45} and Y = {10, 20, 30} what is X' U Y
{5, 10, 20, 25, 30, 35, 40, 50}
set A contains at least one element, which sets are proper subsets of set A
0 of 1 a set that contains exactly the same elements as set A a set that contains only some of the elements from set A a set that contains elements not in set A and elements in set A 0.25 of 1 a set that contains no elements a set that contains elements not in set A 0.75 of 1 a set that contains no elements a set that contains elements not in set A and elements in set A a set that contains only some of the elements from set A
bowl A contains gift cards for amounts that are less than 20 and evenly divisible by 3 bowl B contains gift cards for amounts that are less than 20 and evenly divisible by 4
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bowl A contains gift cards for amounts that are less than 20 and evenly divisible by 3 bowl B contains gift cards for amounts that are less than 20 and evenly divisible by 6
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bowl A contains gift cards for amounts that are less than 20 and evenly divisible by 4 bowl B contains gift cards for amounts that are less than 20 and evenly divisible by 6
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plastic pipe comes in lengths that are multiples of 2 feet and multiples of 3 feet
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plastic pipe comes in lengths that are multiples of 2 feet and multiples of 4 feet
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plastic pipe comes in lengths that are multiples of 2 feet and multiples of 6 feet
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plastic pipe comes in lengths that are multiples of 4 feet and multiples of 6 feet
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if U = {0, 2, 4, . . ., 12} A = {2, 4, 6, 8} and B = {8, 10, 12} which venn diagram represents the sets
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match each term with the correct definition
set: a collection of objects element: a member of a set subset: a collection of objects that belong to another set universal set: the set of all elements considered in a particular context empty set: a set that contains no elements
let U be a universal set that contains positive integers from 1 to 10 U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} suppose A = { 3, 6, 9} and B = { 2, 4, 6, 8, 10} what is A U B
{ 2, 3, 4, 6, 8, 9, 10}
let the universal set be the alphabet letters a through z let X = {a, b, c, . . . , m} and Y = {a, e, i, o, u} what is X N Y
{ a, e, i}
I is the set of even integers, which set is a proper subset of I
{ }
if A= {a, b, c, d} B = {d, e, f, g, h} and C = {a, e, i, o, u} what is the intersection of the three sets
{ }
if X = {. . . , 1, 2, 3} then which set is a proper subset of X
{-8, -10, -13}
which answer describes A U B
{0, 1, 3, 5, 7, 10}
which answers represents X U Y
{0, 2, 3, 4, 6, 8, 9, 10, 12}
let U be a universal set that contains multiples of 10 between 10 and 100, U = {10, 20, 30, 40 ,50, 60, 70, 80, 90, 100} suppose X = {20, 40, 60} Y = {30, 60, 90} what is X' U Y
{10, 30, 50, 60, 70, 80, 90, 100}
if U = {2, 4, 6, . . . , 20} A = { 4, 8, 21, 16, 20} and B = {6, 12, 18} what is A' N B'
{2, 10, 14}
what is A U B
{2, 3, 4, 6, 8, 9, 10, 12, 15, 18, 21}
let the universal set U represent all positive integers less than 10 and let X = {1, 3, 5, 7, 9} what is the complement of set X
{2, 4, 6, 8}
which answer represents A U B'
{2, 4, 6}
which answer represents B'
{2, 4, 6}
if Y = {5, 10, 15, 20, 25} which sets represent proper subsets
{5, 15} {10}
which answer describes A N B
{5}
which set is a proper subset of the counting numbers
{5}
U = {1, 2, . . . , 10} A = {1, 2, 3, 4, 5} B = {4, 5 ,6 ,7}
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U = {1, 2, . . . , 10} A = {1, 2, 3, 4} B = {5, 6, 7, 8}
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consider the sets A = {1, 3, 5, 7} and B = {11, 13, 15, 21} which set represents a universal set
odd integers
which answer represents X N Y
{0, 6, 12}
a mattress manufacturer surveyed 30 customers about their sleep positions use the venn diagram to help answer this questions how many people sleep both on their and their side
12
A = set of multiples of 10 less than or equal to 100 B = set of factors of 100 which set represents the union of A and B
{1, 2, 4, 5, 10, 20, 25, 30, 40, 50, 60, 70, 80, 90, 100}
which answer represents Y'
{1, 2, 4, 5, 7, 8, 10, 11}
in the venn diagram the universal set S represents all positive integers less than 10 what is the complement of set A
{1, 3, 5, 7, 9}
which answer describes A'
{1, 3, 7}
which set represents A'
{1, 4, 10}
which set represents A U B
{1, 4, 6, 7, 9, 10, 12}
which set represents A N B
{1, 4, 7, 8}
a gardening club asked its 57 members what vegetables they grow use the venn diagram to help answer the questions how many gardeners do not grow corn
16
A = the set of square numbers B = the set of factors of 64 which elements are found in the intersection of A and B
4 16
what elements are in A'
4, 8, and 15
if U = {1, 3, 5, . . .} A = {1, 3} B = {5, 7, . . .} and C = { } match each set with its complement
A = {1, 3} {5, 7, . . .} B = {5, 7, . . .} {1, 3} C = { } {1, 3, 5, . . .} U = {1, 3, 5, . . .} { }
which answer shows the region or regions in A N B
II
which sets are proper subsets of {7, 11, 15, 19}
0 {7, 19} {11, 15, 19} {11}
which answer describes the union of two sets
a set that contains all the elements of the two sets
what is the name given to the set of all elements not in a given set
complement
which answer best describes A U B
december, january, febuary, june, july, august
which answer best describes A U B
empty set
if X is the set of positive integers what could the universal set be
the set of all real numbers
what is the complement of a set
the set of elements that are not in a given set
which sets are subsets of the set of negative integers
the set of odd negative integers {-5, -15, -27} {. . . , -3, -1}
which sets are proper subsets of the set of positive integers
the set of positive odd integers { } {8, 10, 120}
what is the name for the set of all elements that are in either set A or set B
the union of sets A and B
what is the complement of the empty set
the universal set
which answer represents A N B'
{2, 4}
if A is the set of all positive even numbers which sets are subsets of A
{2, 6, 12} {2, 4, 6...} { }
what is A U B
{3, 4, 6, 8, 9, 12}
if U = 10, 20, 30, . . . , 100} X = {20, 40 ,60} and Y = {30, 60, 90} what is X' N Y
{30, 90}
what is A N B
{6, 12, 18}
which answer represents the shaded regions
A U B
A = the set of the first 6 multiples of 4 B = the set of the first 6 multiples of 6 what is A U B
A U B = {4, 6, 8, 12, 16, 18, 20, 24, 30, 36}
what is the name for the set of all elements that are in both sets A and B
the intersection of sets A and B
if a set A = {1, 3, 5, 7...} then match each set of numbers with the term that best describes its relationship to A
subset: {7, 9, 11} element: 3 empty set: { } universal set: {. . . , -3, -1, 1,3, . . .}
marketers studied the top 10 food products sold in grocery stores they categorized these products by their ingredients they were interested in which products contained added salt which products contained added sugar and which products contained added fat food products could have more than one of these added ingredients. if the products are organized into a venn diagram with 3 overlapping circles what is the universal set
U = {the top 10 food products sold in stores
what does the shaded part represent
the intersection of A and B
consider the sets A = {2, 4, 6, 8, 10} and B = {12, 14, 16, 18, 20} which set represents a universal set
even integers
which answer best describes A'
even positive integers that are less than 20
which answer describes a set that contains only the elements that two given sets have in common
intersection
A = {2, 4, 6, 8, 10, 12, 14, 16, 18} B = {2, 3, 5, 7, 11, 13, 17, 19} which venn diagram represents the two sets
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U = {1, 2, . . . , 10} A = {1, 2, 3, 4, 5} B = { 4, 5, 6, 7, 8, 9, 10}
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bowl A contains gift cards for amounts that are less than 20 and evenly divisible by 2 bowl B contains gift cards for amounts that are less than 20 and evenly divisible by 4
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if A = {10, 20, 30, 40} and B = {20, 40, 60} which venn diagram represents the sets
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