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https://brilliant.org/problems/magic-cake/ | # Magic cake
Algebra Level 3
You have to divide a cake with 200 straight cuts ( AB and CD are two possible cuts for examples ). Which is the maximum number of slices (dimension is not important) that you can have?
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http://www.askphysics.com/equations-of-motion-images-for-easy-reuse/?shared=email&msg=fail | Home » General » Equations of Motion – Images for easy reuse
# Equations of Motion – Images for easy reuse
Here you can find the equations of motion in the form of images which you can use in your documents.
$v = u + at$ $S = ut + \frac{1}{2} at^{2}$ $v^{2} = u^{2} + 2aS$
### Visitors So Far @ AskPhysics
• 2,166,826 hits | 2019-11-14 10:59:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3123134970664978, "perplexity": 2052.5377120665726}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-47/segments/1573496668416.11/warc/CC-MAIN-20191114104329-20191114132329-00487.warc.gz"} | 100 |
https://dsp.stackexchange.com/questions/63602/discrete-fourier-transform-norms-of-complex-input-signals-and-their-transforma | # Discrete Fourier transform - Norms of complex input signals and their transformation
Given a signal $$\mathbf{z} \in \mathbb{C}^n$$ and its Discrete Fourier transform $$\hat{\mathbf{z} }$$, does $$||\mathbf{z}|| = ||\hat{\mathbf{z} }||$$ hold?
The question is given to me like this with no additional details. Information about what kind of norm is also not given. Does anyone have an idea what the question might be looking for? | 2021-09-23 14:33:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 3, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.28685787320137024, "perplexity": 206.4501138059862}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780057424.99/warc/CC-MAIN-20210923135058-20210923165058-00578.warc.gz"} | 117 |
https://www.gradesaver.com/textbooks/science/chemistry/chemistry-12th-edition/chapter-24-organic-chemistry-questions-problems-page-1052/24-20 | # Chapter 24 - Organic Chemistry - Questions & Problems - Page 1052: 24.20
#### Work Step by Step
As we know that alkalines undergo addition reactions with hydrogen, halogens like $Cl_2, Br_2, I_2$ and with hydrogen halides while alkalines do not react with theses substances in ordinary conditions.
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback. | 2018-09-23 19:40:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.38117578625679016, "perplexity": 4864.47391054678}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-39/segments/1537267159744.52/warc/CC-MAIN-20180923193039-20180923213439-00112.warc.gz"} | 108 |
http://crypto.stackexchange.com/tags/3des/new | # Tag Info
First, note that $192=3\cdot64$, so the real key length of 3DES is $192$ bits. However, since $8$ bits in each subkey are parity bits, this reduces to $3\cdot56=168$ bits of non-redundant key material. Now, the reason that 3DES' effective key length is usually classified as $2\cdot56=112$ bits is that 3DES is susceptible to a meet-in-the-middle attack: When ... | 2015-01-28 20:14:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9345426559448242, "perplexity": 1773.6868782620516}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2015-06/segments/1422119446463.10/warc/CC-MAIN-20150124171046-00252-ip-10-180-212-252.ec2.internal.warc.gz"} | 109 |
https://nanograv.org/glossary/p-pdot-diagram | # P-Pdot Diagram
The spin period vs spin period derivative (how quickly the pulsars spin rate is slowing due to loss of luminous energy) diagram shows the different classes of neutron stars. From it, we have understood different properties of the neutrons stars, how they change over time, etc. | 2022-12-09 20:05:32 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8319411873817444, "perplexity": 1684.6094772270844}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-49/segments/1669446711475.44/warc/CC-MAIN-20221209181231-20221209211231-00424.warc.gz"} | 62 |
https://brilliant.org/problems/there-can-be-infinitely-many/ | # There Can Be Infinitely Many
A positive integer $$n$$ is called sacred if it is divisible by all odd integers $$a$$ for which $$n \geq a^2$$. Determine the sum of all sacred numbers.
As an arbitrary example, $$n=15$$ is sacred because it is divisible by $$1$$ and $$3$$.
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http://books.duhnnae.com/2017/jun/149631423257-Jet-schemes-of-toric-surfaces-a-short-version-Hussein-Mourtada.php | # Jet schemes of toric surfaces a short version
For $m\in \IN, m\geq 1,$ we determine the irreducible components of the $m-th$ jet scheme of a toric surface $S.$ For $m$ big enough, we connect the number of a class of these irreducible components to the number of exceptional divisors on the minimal resolution of $S.$ | 2017-10-24 11:25:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7533653974533081, "perplexity": 134.62259744526506}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2017-43/segments/1508187828411.81/warc/CC-MAIN-20171024105736-20171024125736-00688.warc.gz"} | 82 |
https://brilliant.org/problems/a-classical-mechanics-problem-by-soumya-shrivastva/ | Kinematics 1
The trajectory of a projectile in a vertical plane is $$y=ax-b{ x }^{ 2 }$$ , where $$a$$ and $$b$$ are constants, and $$x$$ and $$y$$ are respectively the horizontal and vertical distance of the projectile from the point of projection. What is the maximum height attained and the angle of projection from the horizontal?
× | 2018-09-20 09:48:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8644367456436157, "perplexity": 79.65727707271323}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-39/segments/1537267156423.25/warc/CC-MAIN-20180920081624-20180920101624-00064.warc.gz"} | 79 |
https://math.stackexchange.com/questions/2721756/how-to-pronounce-this-notation | # How to pronounce this notation
Reading this paper : https://arxiv.org/pdf/1608.04644.pdf the following term : $$L_\infty$$ is referenced in the context of :
How is $L_\infty$ pronounced ? Is it just "L infinity" ? | 2021-12-02 18:14:01 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6887209415435791, "perplexity": 904.3047294357041}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-49/segments/1637964362287.26/warc/CC-MAIN-20211202175510-20211202205510-00476.warc.gz"} | 59 |
http://clay6.com/qa/14887/if-alpha-beta-2-and-alpha-3-beta-3-56-then-the-quadratic-equation-whose-roo | # If $\alpha+\beta=-2$ and $\alpha^3+\beta^3=-56$, then the quadratic equation whose roots are $\alpha$ and $\beta$ is
$\begin {array} {1 1} (1)\;x^2+2x+16=0 & \quad (2)\;x^2+2x-16=0 \\ (3)\;x^2+2x-12=0 & \quad (4)\;x^2+2x-8=0 \end {array}$
## 1 Answer
$(4)\;x^2+2x-8=0$
answered Nov 7, 2013 by
1 answer
1 answer
1 answer
1 answer
1 answer
1 answer
1 answer | 2018-03-18 17:21:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9167399406433105, "perplexity": 4627.0506095255605}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-13/segments/1521257645830.10/warc/CC-MAIN-20180318165408-20180318185408-00230.warc.gz"} | 166 |
https://brilliant.org/problems/combinatorial-straight-lines/ | # Combinatorial Straight Lines
Discrete Mathematics Level 4
If the coefficients $$A$$ and $$B$$ of the equation of a straight line $$Ax + By = 0$$ are two distinct digits from the numbers $$0,1,2,3,6,7$$, then the number of distinct straight lines is
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http://joshkos.blogspot.com/2007/05/texbook.html | $\newcommand{\defeq}{\mathrel{\mathop:}=}$
## 2007/05/27
### TeXbook
--
Quote from preface of TeXbook:
This manual is inteded for people who have never used TeX before, as well as for experienced TeX hackers. In other words, it's supposed to be a panacea that satisfies everybody, at the risk of satisfying nobody.
Knuth 的書寫真是幽默生動 XD。或許鍛鍊文字最好的方法，就是像 Knuth 一樣，研究一個主題就寫一本書出來 XD。
Labels:
skusi5/27/2007 12:53 pm 說：
yen35/27/2007 3:44 pm 說： | 2018-03-22 00:02:39 | {"extraction_info": {"found_math": true, "script_math_tex": 1, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9994189739227295, "perplexity": 11829.73888598108}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2018-13/segments/1521257647707.33/warc/CC-MAIN-20180321234947-20180322014947-00599.warc.gz"} | 189 |
https://brilliant.org/problems/box-and-box-and-box/ | Box and box and box!!
Algebra Level pending
[x/3] +[x/5] +[x/7] =[x/10]. Find all possible +ve integral solutions of the equation. Here , [m] denotes the greatest integer less than or equal to m.
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https://www.quantumstudy.com/with-what-velocity-must-an-electron-travel-so-that-its-momentum-is-equal-to-that-of-a-photon-with-a-wavelength-of-5000-a/ | # With what velocity must an electron travel so that its momentum is equal to that of a photon with a wavelength of 5000 A°
Q: With what velocity must an electron travel so that its momentum is equal to that of a photon with a wavelength of 5000 A°
(h = 6.6 × 10-34 Js ,me = 9.1 × 10-31 Kg)
Sol: $\large m v = \frac{h}{\lambda}$
$\large v = \frac{h}{m \lambda}$
$\large v = \frac{6.62 \times 10^{-34}}{9.1 \times 10^{-31} \times 5000 \times 10^{-10}}$
v = 1450 m/s | 2021-09-26 21:11:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3985602557659149, "perplexity": 526.8261086240262}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-39/segments/1631780057973.90/warc/CC-MAIN-20210926205414-20210926235414-00164.warc.gz"} | 163 |
http://mathhelpforum.com/new-users/210393-research-scholar-lecturer-uos.html | research scholar and lecturer at UOS
Well i am a research scholar as well as lecturer of mathematics
doing work on algebra, representation theory, group theory and combinatorics | 2014-04-20 00:46:59 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8054121732711792, "perplexity": 1528.3274940117612}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2014-15/segments/1397609537804.4/warc/CC-MAIN-20140416005217-00152-ip-10-147-4-33.ec2.internal.warc.gz"} | 35 |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition/chapter-r-review-of-basic-concepts-r-4-factoring-polynomials-r-4-exercises-page-44/58 | ## Precalculus (6th Edition)
$(2p+q-5)^{2}$
Test whether this is a perfect square, $(A-B)^{2}=A^{2}-2AB+B^{2}$ First term: $A^{2}=(2p+q)^{2}\Rightarrow A=2p+q$ Third term: $B^{2}=(5)^{2}\Rightarrow B=5$ Test:$\qquad$ does $-2AB$ equal the middle term? $-2AB=-2(2p+q)(5)=-10(2p+q)\qquad$ ... yes, it does. $\Rightarrow$This is a perfect square, $[(2p+q)-5]^{2}=(2p+q-5)^{2}$ | 2020-05-31 16:07:39 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.23827023804187775, "perplexity": 1470.9634617005318}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-24/segments/1590347413551.52/warc/CC-MAIN-20200531151414-20200531181414-00497.warc.gz"} | 170 |
https://www.gradesaver.com/textbooks/math/statistics-probability/introductory-statistics-9th-edition/chapter-4-section-4-4-intersection-of-events-and-the-multiplication-rule-exercises-page-155/4-47 | # Chapter 4 - Section 4.4 - Intersection of Events and the Multiplication Rule - Exercises - Page 155: 4.47
a. P(A) = 0.36 P(B|A) = 0.87 P(A and B ) =$P(A) \times P(B|A)$ $= 0.36 \times 0.87$ =0.3132 b. P(B) = 0.53 P(A|B) = 0.22 P(A and B ) =$P(B) \times P(A|B)$ $= 0.53 \times 0.22$ =0.1166
#### Work Step by Step
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After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback. | 2019-12-15 11:13:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.38272905349731445, "perplexity": 1763.8177181356277}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-51/segments/1575541307813.73/warc/CC-MAIN-20191215094447-20191215122447-00119.warc.gz"} | 180 |
http://clay6.com/qa/31275/the-correct-order-of-first-ionization-potential-is- | Browse Questions
# The correct order of first ionization potential is :
$(a)\;F > He > Mg > N > O \\(b)\;He > E > N > O > Mg \\ (c)\;He > O > f > Mg \\ (d)\;N > F > He> O > Mg$
The correct order of first ionization potential is $He > E > N > O > Mg$
Hence b is the correct answer. | 2016-12-11 08:10:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9126361012458801, "perplexity": 1325.3260010416025}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-50/segments/1480698544358.59/warc/CC-MAIN-20161202170904-00404-ip-10-31-129-80.ec2.internal.warc.gz"} | 96 |