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10.6.3: Proportions and Rates
https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/10%3A_Appendix/10.06%3A_Problem_Solving/10.6.03%3A_Proportions_and_Rates
\( \begin{array} {ll} {20\text{ seconds } \cdot \frac{1 \text { minute }}{60 \text { seconds }} \cdot \frac{1 \text { hour }}{60 \text { minutes }}=\frac{1}{180}\text{ hour}} & {\text{Now we can multi...\( \begin{array} {ll} {20\text{ seconds } \cdot \frac{1 \text { minute }}{60 \text { seconds }} \cdot \frac{1 \text { hour }}{60 \text { minutes }}=\frac{1}{180}\text{ hour}} & {\text{Now we can multiply by the }15\text{ miles/hr}} \\ {\frac{1}{180} \text { hour } \cdot \frac{15 \text { miles }}{\text { Ihour }}=\frac{1}{12} \text { mile }} & {\text{Now we can convert to feet}} \\ {\frac{1}{12} \text { mile } \cdot \frac{5280 \text { feet }}{1 \text { mile }}=440 \text { feet}} & { } \end{array…
6: Probability
https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/06%3A_Probability
The probability of a specified event is the chance or likelihood that it will occur. Another view would be subjective in nature, in other words an educated guess. In this course we will mostly be conc...The probability of a specified event is the chance or likelihood that it will occur. Another view would be subjective in nature, in other words an educated guess. In this course we will mostly be concerned with theoretical probability, which is defined as follows: Suppose there is a situation with $n$ equally likely possible outcomes and that $m$ of those $n$ outcomes correspond to a particular event; then the probability of that event is defined as $\dfrac{m}{n}$ .
4.1.4: Cardinality
https://math.libretexts.org/Courses/American_River_College/Math_300%3A_My_Math_Ideas_Textbook_(Kinoshita)/04%3A_Sets/4.01%3A_Sets/4.1.04%3A_Cardinality
Notice that while the cardinality of $F$ is $70 \%$ and the cardinality of $T$ is $40 \%$ , the cardinality of $F \cup T$ is not simply $70 \%+40 \%$ , since that would count those who use b...Notice that while the cardinality of $F$ is $70 \%$ and the cardinality of $T$ is $40 \%$ , the cardinality of $F \cup T$ is not simply $70 \%+40 \%$ , since that would count those who use both services twice. To find the cardinality of $F \cup T$ , we can add the cardinality of $F$ and the cardinality of $T$ , then subtract those in intersection that we've counted twice.
5.9: Exercise-2- Exploration
https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/05%3A_Fair_Division/5.09%3A_Exercise-2-_Exploration
However, Fred is only entitled to 30% of the cake, and Maria is entitled to 70% of the cake (maybe it was a $10 cake, and Fred put in $3 and Maria put in $7). Since transferring the entire house would...However, Fred is only entitled to 30% of the cake, and Maria is entitled to 70% of the cake (maybe it was a $10 cake, and Fred put in $3 and Maria put in $7). Since transferring the entire house would give Carol too many points, we instead need to transfer some fraction, $p$ , of the house to that Carol and Mike will end up with the same point values. The value Carol will receive is $10p$ : the fraction $p$ of the 10 points Carol values the house at.
5.8: Exercises-1- Skills
https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/05%3A_Fair_Division/5.08%3A_Exercises-1-_Skills
The values of the entire bag and each of the three bowls in the eyes of each of the players are shown below. The values of the four pieces of land in the eyes of the each player are shown below. For e...The values of the entire bag and each of the three bowls in the eyes of each of the players are shown below. The values of the four pieces of land in the eyes of the each player are shown below. For each of the remaining players, the value of the current claimed piece at the time it is their turn is given in the following table: For each of the remaining players, the value of the current pile of cards at the time it is their turn is given in the following table:
2: Logic
https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1130_Mathematical_Ideas_Mirtova_Jones_(PGCC%3A_Fall_2022)/02%3A_Logic
Thumbnail: pixabay.com/illustrations/pu...ution-1721464/
2.1.13: Approval Voting
https://math.libretexts.org/Courses/American_River_College/Math_300%3A_My_Math_Ideas_Textbook_(Kinoshita)/02%3A_Voting_Theory_and_Apportionment/2.01%3A_Voting_Theory/2.1.13%3A_Approval_Voting
Approval Voting is method of voting that can be more appropriate in some decision making scenarios. In this method, the ballot asks you to mark all choices that you find acceptable. The results are ta...Approval Voting is method of voting that can be more appropriate in some decision making scenarios. In this method, the ballot asks you to mark all choices that you find acceptable. The results are tallied, and the option with the most approval is the winner.
6.5: Odds and Expected Value
https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/06%3A_Probability/6.05%3A_Odds_and_Expected_Value
It would be better to play a game with a positive expected value (good luck trying to find one!), although keep in mind that even if the average winnings are positive it could be the case that most pe...It would be better to play a game with a positive expected value (good luck trying to find one!), although keep in mind that even if the average winnings are positive it could be the case that most people lose money and one very fortunate individual wins a great deal of money. The probability that the third roll is different than the previous 2 is $\dfrac{4}{6}$ , so the probability that the 3 dice are different is $\dfrac{5}{6} \cdot \dfrac{4}{6}=\dfrac{20}{36}$ .
8.5: Box Plots
https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/08%3A_Describing_Data/8.05%3A_Box_Plots
In addition to the mean and median, which are measures of the "typical" or "middle" value, we also need a measure of how "spread out" or varied each data set is. There are several ways to measure thi...In addition to the mean and median, which are measures of the "typical" or "middle" value, we also need a measure of how "spread out" or varied each data set is. There are several ways to measure this "spread" of the data.
5: Numeration Systems
https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/05%3A_Numeration_Systems
We will look at our own modern (Western) number system as well those of a couple of selected civilizations to see the differences and diversity that is possible when humans start counting. By comparin...We will look at our own modern (Western) number system as well those of a couple of selected civilizations to see the differences and diversity that is possible when humans start counting. By comparing our own base-ten (decimal) system with other bases, we will quickly become aware that the system that we are so used to, when slightly changed, will challenge our notions about numbers and what symbols for those numbers actually mean.
6.3: Payout Annuities
https://math.libretexts.org/Courses/Highline_College/Math_111%3A_College_Algebra/06%3A_Finance/6.03%3A_Payout_Annuities
With a payout annuity, you start with money in the account, and pull money out of the account on a regular basis. Payout annuities assume that you take money from the account on a regular schedule (ev...With a payout annuity, you start with money in the account, and pull money out of the account on a regular basis. Payout annuities assume that you take money from the account on a regular schedule (every month, year, quarter, etc.) and let the rest sit there earning interest. You want to be able to take monthly withdrawals from the account for a total of 30 years. A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years.

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