Minor edits
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@ -1,11 +1,21 @@
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% use [nosolutions] flag to hide solutions.
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% use [solutions] flag to show solutions.
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\documentclass[
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solutions,
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nosolutions,
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singlenumbering
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]{../../resources/ormc_handout}
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\usepackage{../../resources/macros}
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\geometry{
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paper = letterpaper,
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top = 20mm,
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bottom = 20mm,
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left = 30mm,
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right = 30mm,
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headheight = 75mm,
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footskip = 10mm,
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headsep = 75mm,
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}
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\uptitlel{Advanced 2}
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\uptitler{Winter 2023}
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@ -68,13 +78,6 @@
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$85$ mi/hr
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\end{solution}
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\problem{}
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What is the melting point of gold?
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\begin{solution}
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$1064.18$ C
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\end{solution}
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\problem{}
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How many ways are there to tile a square with $2 \times 1$ and $1 \times 2$ dominos?
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@ -93,6 +96,13 @@
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About 15HP, as measured in 1925.
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\end{solution}
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\problem{}
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What is $\sqrt[100]{2} - 1$?
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\begin{solution}
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$0.06956$
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\end{solution}
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\problem{}
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What is the approximate speed of the magnetic north pole's drift? (in km/year)
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@ -100,13 +110,6 @@
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60km/yr
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\end{solution}
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\problem{}
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How many creatures are there in \textit{Dwarf Fortress}?
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\begin{solution}
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500 (estimate, no way I'm counting them all)
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\end{solution}
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\problem{}
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What was the stock price of Apple on $2023-01-10$?
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\begin{solution}
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@ -127,6 +130,13 @@
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13
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\end{solution}
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\problem{}
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How many different creatures are there in \textit{Dwarf Fortress}?
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\begin{solution}
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500 (estimate, no way I'm counting them all)
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\end{solution}
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\problem{}
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For how many positive integers $n$ less than $10,000$ is $2^n -n^2$ divisible by $7$?
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@ -156,13 +166,11 @@
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\end{solution}
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\problem{}
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Five boxes are filled with pastries. We know that box C contains a third of the pastries in E, and that
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B contains two times more than C and E combined. Box A contains half the number of pastries in E, and
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a tenth of those in D. Box B contains four times more pastries than D. \par
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What is the minimal possible positive number of pastries in all the boxes put together?
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Suppose you drop 16 needles of length 5 on ruled paper with distance 8. \par
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What is the probability that three, four, or five needles cross a line?
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\begin{solution}
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310
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0.316
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\end{solution}
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@ -182,14 +190,14 @@
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\problem{}
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How many distinct typewriter models were produced by \textit{Smith Corona} since 1886?
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How many distinct typewriter models have been produced by \textit{Smith Corona} since 1886?
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\begin{solution}
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106
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\end{solution}
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\problem{}
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About how many people live on Antarctica during the winter?
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How many people live on Antarctica during the winter?
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\begin{solution}
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About 1100; rises to about 5000 in Summer.
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@ -200,7 +208,7 @@
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What is the standard deviation of the above solutions?
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\begin{solution}
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7,2318.7
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$6.3616 \times 10^6$
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\end{solution}
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\end{document}
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@ -2,7 +2,8 @@
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solutions,
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shortwarning,
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singlenumbering,
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nopagenumber
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nopagenumber,
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nowarning
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]{../../resources/ormc_handout}
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\usepackage{../../resources/macros}
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\geometry{top = 20mm}
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