Minor edits

This commit is contained in:
Mark 2024-01-11 07:56:32 -08:00
parent 7fe06e1aca
commit c294a0d4f9
Signed by: Mark
GPG Key ID: C6D63995FE72FD80
2 changed files with 33 additions and 24 deletions

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

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@ -2,7 +2,8 @@
solutions,
shortwarning,
singlenumbering,
nopagenumber
nopagenumber,
nowarning
]{../../resources/ormc_handout}
\usepackage{../../resources/macros}
\geometry{top = 20mm}