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- 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…
- https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/06%3A_ProbabilityThe 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 mn.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/05%3A_Fair_Division/5.09%3A_Exercise-2-_ExplorationHowever, 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.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/05%3A_Fair_Division/5.08%3A_Exercises-1-_SkillsThe 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:
- 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_ValueIt 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 46, so the probability that the 3 dice are different is 56⋅46=2036.
- https://math.libretexts.org/Courses/Fullerton_College/Math_100%3A_Liberal_Arts_Math_(Claassen_and_Ikeda)/08%3A_Describing_Data/8.05%3A_Box_PlotsIn 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.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/15%3A_Fractals/15.05%3A_Complex_Recursive_SequencesWe will now explore recursively defined sequences of complex numbers.
- https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/04%3A_Saving/4.01%3A_IntroductionWe have to work with money every day. While balancing your checkbook or calculating your monthly expenditures on espresso requires only arithmetic, when we start saving, planning for retirement, or ne...We have to work with money every day. While balancing your checkbook or calculating your monthly expenditures on espresso requires only arithmetic, when we start saving, planning for retirement, or need a loan, we need more mathematics.
- https://math.libretexts.org/Courses/Chabot_College/Math_in_Society_(Zhang)/03%3A_Historical_Counting_Systems/3.04%3A_The_Development_and_Use_of_Different_Number_BasesIn this section, we will explore exactly what a base system is and what it means if a system is “positional.” We will do so by first looking at our own familiar, base-ten system and then deepen our ex...In this section, we will explore exactly what a base system is and what it means if a system is “positional.” We will do so by first looking at our own familiar, base-ten system and then deepen our exploration by looking at other possible base systems. In the next part of this section, we will journey back to Mayan civilization and look at their unique base system, which is based on the number 20 rather than the number 10.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/16%3A_CryptographyThumbnail: Alphabet shift ciphers are believed to have been used by Julius Caesar over 2,000 years ago. Caesar cipher with a shift of 3. Plaintext is at the top, Ciphertext is at the bottom. (Public D...Thumbnail: Alphabet shift ciphers are believed to have been used by Julius Caesar over 2,000 years ago. Caesar cipher with a shift of 3. Plaintext is at the top, Ciphertext is at the bottom. (Public Domain; Matt_Crypto via Wikipedia).
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_in_Society_(Lippman)/14%3A_Historical_Counting_SystemsWe 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.
