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Sunday Math Challenge

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(@holy-cow)
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Happy May Day

Last night our high school held their prom.?ÿ Must keep all the mothers happy, you know.?ÿ They can claim that the prom lasted for a month as they went to it in April and came home in May.

Here is the math word problem.?ÿ We will assume they always hold their prom on the last Saturday of April.?ÿ What are the odds of that date being April 30?

Psst: The answer IS NOT one in seven.

Psst: Hint: What are the odds of your wedding anniversary falling on the same day of the week as the wedding date?

 
Posted : May 1, 2022 7:27 am
(@jitterboogie)
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Once every 17 years.?ÿ

?ÿ

Darn leap years

?ÿ

 
Posted : May 1, 2022 7:43 am
(@holy-cow)
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You are onto something.?ÿ Try again.

 
Posted : May 1, 2022 7:44 am
(@dougie)
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Damn it Cow! I'm supposed to be getting some work done!

This is the best Google can do:

https://www.timeanddate.com/calendar/weekday-saturday-30?ext=1

?ÿ

Hopefully somebody comes up with the answer soon; I still have to mow the lawn, too!

?ÿ

 
Posted : May 1, 2022 8:23 am
(@flga-2-2-2-2-2-2-2-2)
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Posted by: @holy-cow

Must keep all the mothers happy, you know.

And just how do you accomplish this endearing feat? "Mr.Studly Cow" (you wish) ?????ÿ

And the answer is never.

 
Posted : May 1, 2022 11:18 am
(@dougie)
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GIF

?ÿ

Don't put it out with your boots Ted...


GIF
 
Posted : May 1, 2022 11:43 am
(@mathteacher)
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Have to ask an Aztec. She said every 11 years, so it looks like the probability is 1/11.

 
Posted : May 1, 2022 2:20 pm
(@bill93)
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It's a 28 year cycle 11 6 5 6 years between occurrences. It will be 11 years before the next one, but the average is 4/28 or one in 7 years.

This assumes we are talking about in our geezer lifetimes, ignoring century years that are not 400 multiples.

 
Posted : May 1, 2022 2:53 pm
(@holy-cow)
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It depends on the number of days that are leap days in that cycle.?ÿ It is either six years with one leap day or five years with two leap days.?ÿ Either 5 or 6.?ÿ We shouldn't hit another "special day" for a long time.?ÿ So, I'm going with one in five and a half.

With a 365 day year, which is 7 X 52 plus one day, a Saturday moves to being a Sunday for the same date the following year.

With a 366 day year which is 7 X 52 plus two days.?ÿ A Saturday moves to being a Monday for the same date the following year.

 
Posted : May 1, 2022 3:31 pm
(@dave-karoly)
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Yesterday was the May Day celebration at Sacramento Waldorf School.

The boy wonder festooned with his crown:

1D77EBA5 42AE 44EB B5B0 305F0B835919
32E7E216 23B3 4464 A275 CA868193BDD6
 
Posted : May 1, 2022 4:14 pm
(@bill93)
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I stand by my earlier post.?ÿ According to the calendar on my Android phone the next occurrence of the last Saturday in April being on the 30th will be in 2033.?ÿ See if you have a calendar that disagrees. I ran two whole cycles.?ÿ The phone thinks the world will end Dec 31, 2036 so won't give me anything past that.

Years?ÿ?ÿ?ÿ?ÿ?ÿ?ÿ?ÿ?ÿ?ÿ?ÿ Date of last Sat in Apr
1994 2022 30*
1995 2023 29
1996 2024 27
1997 2025 26
1998 2026 25
1999 2027 24 check this
2000 2028 29
2001 2029 28
2002 2030 27
2003 2031 26
2004 2032 24
2005 2033 30*
2006 2034 29
2007 2035 28
2008 2036 26?ÿ?ÿ (2036 end of available calendar)
2009 1981 25
2010 1982 24
2011 1983 30*
2012 1984 28
2013 1985 27
2014 1986 26
2015 1987 25
2016 1988 30*
2017 1989 29
2018 1990 28
2019 1991 27
2020 1992 25
2021 1993 24

?ÿ

 
Posted : May 1, 2022 4:38 pm
(@holy-cow)
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@bill93

Very good.?ÿ The general case is every fifth or sixth year.?ÿ But, I had added that it must be April 30, which took out the special case of when the last Saturday is the 24th.

The hint mentioned a wedding day falling on the same day of the week as an anniversary.?ÿ For that, the six and seven year spans hold up in the general case.?ÿ The exception to that rule is far into the future for everyone reading this post.

2011 to 2016 = 5

2016 to 2022 = 6

2022 to 2033 = 11

2033 to 2039 = 6

2039 to 2044 = 5

2044 to 2050 = 6

 
Posted : May 1, 2022 5:19 pm
(@flga-2-2-2-2-2-2-2-2)
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Engineers call this a 10th grade math question.

10th grade
 
Posted : May 2, 2022 9:25 am
(@bill93)
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5*10/2 = 25 kg.?ÿ Did I miss something tricky?

Oh - It cannot balance. It will be unstable because the center of mass is above the fulcrum, and a microgram of difference from balance or your breath will tip it one way or the other.

 
Posted : May 2, 2022 9:32 am
(@holy-cow)
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The answer is a equal to or greater than 10 based on where the blue box is placed as long as no part of either box hangs over the supporting beam.?ÿ Using the numbers 2 and 5 is too crude. 1.50 to 2.49 equals two and 4.50 to 5.49 equals five.?ÿ Also the 10 is too crude, especially when mixed with the crude numbers 2 and 5.?ÿ Thus there are a range of possible values.

 
Posted : May 2, 2022 10:38 am