Posts Tagged ‘Australia’

h1

Australians are the biggest Gamblers in the World

September 19, 2024

Australians are the biggest Gamblers in the World,

Helen Sullivan, The Observer, 8 SEPT 2024

The reason…. Slot Machines or as we call them here in Oz, Poker MachineS or simply:

The Pokies.

As for Slot Machines maths:

Welcome to a lose lose date with the Pokies

 Australia is home to a fifth of the world’s slot machines

According to Tom Vanderbilt in The Guardian ( Slot machines: a lose lose situation, 8 JUN 2013)

Once seen as a harmless diversion, hi-tech slot machines now bring in more money than casinos – and their players become addicted three times faster than other gamblers.

 Here’s how the math works:

slot machine 2

In Australia pokie machines must return between

85%

and

90%

of money gambled.

But here is the catch. If you start out with $300 that means, surely, you’ll go home with$270 in your pocket less some for the big payouts.

WRONG! WRONG! WRONG!

According to ex-gambler Tom Cummings you’ll probably go home with

NOTHING!

WHY?

In his article, Poker machine maths, (ABC, The Drum, 27 MAY 2011) it is not unusual for someone to start with $300 but put $3,000 into the  machine over 4 – 5 hours. 

They put their winnings back into the machine over and over.

Here’s the sting.

According to the poker machine, $3,000 was gambled, and $300  was kept (by the slot machine). That means that the machine paid out $2,700… which is the 90 per cent return.

But the player ends up with $ZERO!

IT’S ALL GONE BACK INTO THE MACHINE.

That’s one pension cheque gone for the week.

Warren Buffett has called

gambling in general a 

“tax on stupidity”

pickpocket

or a way of fleecing those who don’t do the maths.

h1

Why Olympic Swimmers do the math!

July 29, 2024

In the article ‘Why Some Olympic Swimmers think about math in the pool in the NYT today

 Kate Douglas (above), statistics graduate and USA Olympic swimmer, has used an accelerometer on her back, which measures her movement in 3 spatial directions 512 times per sec, to see where she could reduce drag and improve her swimming times. Could she improve her stroke technique, kick style or the depth she dipped her head under water?

By analysing the data she found she could reduce drag by changing the angle of how she pulled her head out of the water saving 0.15 sec per pullout. 

 

In her research paper, Douglas wrote: “Force applied in any direction other than forward is not helping an athlete achieve their dream of Olympic gold.”

Douglas lifts her head out of the water 20 times per lap. The 200m breaststroke race (above) involves 4 laps so Douglas lifts her head 80 times.

Using math data Douglas could save

 

= 80 x 0.15 sec

=12 secs

Wow!

Of course, other swimmers could do likewise, but in the Olympic trials (above) Douglas won by 1.35 secs. Every 0.01 sec counts.

According to the NYT ‘Kyle Chalmers, the Australian sprinter who is a three-time Olympian has partnered with a Sydney-based sports technology lab that created a device to measure the force generated by a swimmer’s hands as they stroke through the water.’

So far this Olympics he has 1 silver medal in the 4 x 100m relay.

2024 Olympic Medal Update:

Kate Douglass

American swimmer:  2 Gold & 2 Silver Medals

Kyle Chalmers

Australian Swimmer: 2 Silver & 1 Bronze.

h1

UNBELIEVABLE BELIEFS: Why YOU Need Math(s) today

March 23, 2024

The WEB is awash with superstition, Fake News, Scams, and Marketing. How can you avoid being taken in by this PROPAGANDA?

Let the FORCE BE WITH YOU. And that FORCE IS MATH(S).

Maths is not just about doing calculations.

You may not become a mathematician, scientist, engineer, computer programmer or medical researcher, but you need to understand what they are saying.

Maths has become academically sidelined in AUSTRALIA, pushed into a Nerd Ghetto with the decline in both student skills (Maths Australia) and No. of students doing  advanced maths. (Engineers Australia. See graph below)

Meanwhile, if you can quote some Yeats, despite living in ignorance of Exponential Functions, say, you rank as an intellectual.

 Don’t bother your pretty little head with mathematics you won’t need it.

3  Reasons why YOU need maths today 

……………………………………………………………………………………

1. Maths is a Precision Thinking tool.

Mathspig models legs photoshopYou cannot claim to have an ‘agile mind’ if you are not trained to use the precision thinking tool of mathematics. Your powers of reason will be restricted.

According to the National Eating Disorders Collaboration  1 million Australians are affected by eating disorders each year. Meanwhile, women’s magazines push unrealistic images of women’s bodies by stretching models’ legs using photoshop. So what? Now do the maths.

Models legs are stretched by, up to, 89% in magazine photographs. 89%. That number will change the way you think about this issue. (See How Women’s Magazines Distort Women’s Bodies)

…………………………………………………………..

…………………………………………………..

2. Maths Slays Superstition.

Medieval_witchScience alone cannot counter false beliefs, superstition or black magic.

The scientific method depends on maths via observation, measurement, calculation, proof and then replication.

Miracles, on the other hand, cannot be replicated. Without maths science becomes just another belief system. No argument can counter belief as it becomes trapped in the ‘My belief system is better than your belief system’ argument loop.

…………………………………………………………………………………

galileoThe Enlightenment of the mid-1600s gave birth to the Scientific Method thanks to the work of scientists such as Francis Bacon (1561-1626) , Isaac Newton (1643–1727) and John Locke(1632–1704). Galileo ought to be included. In 1610 he discovered 4 moons of Jupiter, measured the period of orbit of each moon and concluded that the earth was not the centre of the universe. This contradicted belief systems of the time. The religious rulers declared him a heretic, forced him to recant and held him under house arrest until his death.

But the bishops could not arrest mathematics.

And Galileo’s scientific observations ‘proved’ to be correct again and again but he was not accurate on all matters. He thought the moons’ orbits were circular not elliptical.

Like Galileo, Science is not always correct. Nevertheless, it is all we have to fight the dark arts. The poet, John Donne (1573-1631), jested about the ‘New Philosophy’ of science at the time:

(The) new Philosophy calls all in doubt,
The Element of fire is quite put out;
The Sun is lost, and th’earth, and no man’s wit
Can well direct him where to look for it.

John Donne

………………………………………………………………..

super food ad.

Scientific proof slays the ‘mythical dragon’ of belief and new beliefs are popping up all the time. Have you heard the latest about super foods? 

We’ll all be super humans soon. Won’t we? And some diet foods burn fat. Great! We’ll all be super-slim super-humans. Wow! Now keep reading.

…………………………………………………………………………………………………………………..

Question the numbers thrown at you. They may be fake. 

…………………………….

3. Math(s) Kills Spin

You also need maths today, more than ever, to counter SPIN, MARKETING and all sorts of PROFIT DRIVEN PROPAGNDA. Trust no one could be your mantra. Banks will send you credit card bills including a minimum monthly payment, which, as some victims have discovered, wouldn’t pay off your credit card debt before you DIED.

SAMSUNG

Pharmaceutical companies sell drugs with an efficacy of a piddling 5% above the placebo. (I’ve interviewed members of Australia’s drug regulator, TGA.) 5%! You may as well give yourself sugar pills. That’ll save money and they’ll work too. The placebo effect works even if you know it’s a placebo.

Social Scientists use Mickey Mouse Maths to lobby governments for funding for, possibly, non-existent problems. Here’s one example. ‘The Productivity Commission estimates that workplace bullying costs the economy between $6billion and $36bn every year.‘ (Gary Johns, Bullied in the Workplace? Blame the Boss, The Australian, 31 Dec 2013) Really? The total funding for public hospitals in Australia in 2013 was $14bn. Curious.

Now let’s have a closer look at this estimate.

Neither sophisticated nor trained in the specific use of complicated mathematical weapons, I’m not the James Bond of maths. I’m more a ‘Jason Bourne’ type mathematician. I use the everyday maths I have at hand. I keep it simple and, wherever possible, I use first principles.

The mid-point of the Productivity Commission estimate is $21bn. So the cost of bullying in Australia including uncertainty is:

$21 ± 15bn  or  $21bn ± 71%.

These numbers are a joke. The Productivity Commission is using estimates that involve a 142% error range. Yet, I suspect even as I write, someone somewhere is using these stats to apply for a study grant or an intervention program. This type of Mickey Mouse Maths costs us money!!!! We, the public, pay firstly for these numbers to be ‘calculated’ then we pay for intervention programs to curb these ‘imaginary numbers’. Bullying in the workplace exists. But these numbers are beyond belief.

Social Scientists are not the only professionals to use bad Maths. What do you call scientists, who use maths they do not understand? Are they misinformed fools or fraudsters? On an amusing level, I’ve asked several meteorologists what ‘20% chance of rain’ actually means. (Hopefully, some reader will inform us.) Is it related to the area or duration of rain? Or both? They didn’t know. So I then asked ‘How do you calculate this probability?’ The answer? ‘The computer does it for us.’ Ladies and gentlemen, the weather is brought to you today by Clueless & Clueless.

sally-3On a more sinister level, scientists who do not understand the maths they use can be dangerous. This is the point where Science and journalism diverge mathematically. Scientists must put numbers on the board. To win hearts and minds (while over-working well-worn clichés), journalists must tell the story of one person. Here is the story of Sally Clark. On 9 November 1998 at Chester Crown Court Sally Clark, a Cheshire solicitor was convicted of smothering her two baby boys. The prosecution used  Prof Roy Meadows, who’d discovered Munchausen Syndrome by Proxy, as an expert witness. He testified that the chance of two children from an affluent family suffering SIDS was 1 in 73 million. Sally Clark was found guilty. The problem was the Prof got the maths wrong. He arrived at this number by squaring 1 in 8500, the likelihood of one cot death in similar circumstances. He assumed the events were independent like flipping a coin.

The chance of 2 Heads in 2 coin flips is:

½ x ½= ¼

observer Sally clark

Two cot deaths in one family are not independent events. A Cot Death gene, for instance, would dramatically increase the likelihood of multiple Cot Deaths in one family. Sally Clarke spent 3 years in jail. Protests from the Royal Statistical Society followed. Prof Meadows was struck off the medical registrar in 2005. Sally Clark died of acute alcohol poisoning in her home in 2007. ( See Conviction by Maths Error)

The big question is ‘WHY DIDN’T HER DEFENCE LAWYERS QUESTION THE MATHS?’

OH, I forgot. Lawyers don’t have to do maths. But the bigger problem today is that young and old alike just can’t be bothered. I’m not talking about complicated math(s). 

Spend $5 and hand over a $20 bill and a check out employ needs the cash register to work out the answer. 

After all, Mickey Mouse math(s) costs us money and bad math(s) can kill. 

You’ve been warned!

MAY THE MATH(S) FORCE BE WITH YOU, LUKE!

h1

How long would a tiger take to eat your math teacher?

December 30, 2023

The answer to this question is not ‘Toooo loooong!!’  It can be answered approximately.

According to a DREAMWORLD fact sheet Bengal tigers eat between 4 and 5 kilograms of chicken, horsemeat or kangaroo meat five days a week. To imitate their diet in the wild, Dreamworld’s tigers – Java, Jaya, Kia, Khan, Nika, Pi, Raja, Zakari and Akasha – fast on bones twice a week.

………………………………………………………


Average Weight of Americans Data: Gallup News

h1

Car Crash Maths: Saved by a millisecond

September 15, 2023

*In 1970 the Victorian Government made the wearing of seat belts compulsory.

*The first government in the west to do so.

 *Within 14 months the other Australian states followed.

*The road toll in Australia dropped:

   1969       3,382 road deaths per year

   1988       2,887 deaths

   2018       1,135  deaths

   2019…….1,194 deaths

   2020…… 1,095 deaths

   2021……..1,123 deaths

  2022 …..1,194 deaths

Mathspig lived on a country police station before seat belts became compulsory and a number of kids she went to school with died in car accidents.

Three factors have reduced the road toll in Australia:

1. Wearing seat belts

2. Stopping drink driving

3. Introducing Airbags (from 1980s)

Our eyes can easily detect the blink (above) set a 300ms.

Ditto, the light flash (below), which is set to flash at  200 ms but it will drive you CRAZY if you look at it for too long.

The fabulous video (below) will show you the amazing details of the ms timing that saves lives in a car crash. You will see real car crash tests. And the frightening results too.

It was made by an engineer who worked for GMH or Holden as we call it in Australia. 

h1

TV Ratings, The Matildas and Middle School Maths

August 21, 2023

BBC report here

Or, to be accurate, 43.4% of Australian’s watched the game according to ratings

How TV Ratings are measured in Australia LINK

Is this a reasonable sample size?

For those interested in advanced statistics the Australian Bureau of Statistics has a sample size calculator here.

h1

When Area Calcs mean Big Bucks

August 25, 2022

Bank Notes returned to RBA data.

RBA grids for damaged notes.

h1

Amazing and Terrifying Wildfire Maths . . . . . . . . . . . . . . METRIC UNITS

July 25, 2022

mathspig-smoke-jumpers  With wildfires  burning across the US and Europe , Mathspig had to update this firefighter maths post for middle school classrooms.

Radiant Heat Stats WA Fire Dept FACEBOOK, Australian Bushfires 14 NOV 2019 MyFireWatch WA

 Wildfires USA 2022 Map: NASA

mathspig-metric-units-fire-math

METRIC UNITS

Background Story

On 5th August 1949 Wag Dodge was dropped by parachute with 14 other fire fighters into Mann Gulch, a steep-sided gully in a Montana pine forest. Fire fighters who parachute in to put out small blazes started by lightening are called Smoke Jumpers. As they worked their way down the sides of the gully the breeze was blowing away from them. But the wind soon shifted. This produced an updraft, which increases the speed of the fire front. The 15 Smoke Jumpers turned and started running for their lives uphill.

HOW FAST CAN YOU RUN?

METRIC UNITS

Time Trial:

Mark out a 10 m course. Make 3 time trials.

t1 =

t2 =

t3=

Average your time:

tav = (t1 + t2 + t3)/ 3 =

Your Speed S = 10/tav = ……… m/sec

mathspig-firefirghter-maths-1

HOW FAST IS A GRASS FIRE?

This will, of course, vary depending on the wind speed. A typical grass fire in Australia in a flat area can travel at 20kph (up to 30 kph) in a gentle breeze.

Fire Front Speed Grass Fire

Fire Front Speed = 20 kph = 20 x1000/(60 x 60)

                               = 20 x 0.27777777 = 20 x 0.28 m/sec

                               = 5.6 m/sec

mathspig-firefighter-maths-2

CAN YOU OUT RUN A FIRE?

Average Running Speed Boy 13–14 yo = 3.0 m/sec

Average Running Speed Girl 13–14 yo = 2.4 m/sec

We’ll assume, boy or girl, that you are really motivated and can run away from the fire at top speed of 3.0 m/sec. Now calculate the distance you can run and the fire front moves in 10 secs intervals up to 1 minute.

mathspig-fire-fighter-table-1

This is not looking good. See more Firefighters Need Maths here.

We can do very accurate calculations using simultaneous equations. Wildfire Algebra: Detailed Worksheet using simultaneous equations and solutions  here.

NOW YOU ARE RUNNING UP HILL. WHAT HAPPENS?

We’ll assume, due to being motivated by having a fire licking your heels, that you can run at your top speed up hill for a short time, at least. But here is the problem.

Heat rises and so there is a Chimney Effect pushing the fire uphill. The rule of thumb used by fire fighters is:

Each 10º increase in slope, the fire front speed doubles.

mathspig-cfa-diag

mathspig-fire-fighter-table-2

Now you can calculate the distance travelled by the fire front up a slope at a 30º angle.

Don’t forget you can use the WEB 2.0 Calculator here.

mathspig-fire-fighter-table-3

Even at your top running speed, which is unlikely up a slope, you can run 180 m in 1 minute. In that time the forefront has moved 2688 m or 2.7 km.

It depends how far away you are from the fire front, but it seems you cannot out run this fire front.

Again we can do very accurate calculations using simultaneous equations.

See Firefighters Need Maths here.

Wildfire Algebra: Worksheet and solutions here.

CAN YOU OUT RUN A WILD FIRE?

High winds can turn a bush or forrest fire into a WILD FIRE with wind speeds up to 110 kph and temperatures up to 2000 °C, which can and does melt glass and cars.

The fire front speed doubles with every 10º, so speeds for the fire front can reach 220 kph, 330kph and up to 550kph.

20o-angle-mathspig-2

What happened to the Smoke Jumpers?

When the fire front changed direction Wag Dodge and 14 other Smoke Jumpers found themselves running for their lives up a steep slope. What did Wag do next?

ANS: Here’s the amazing thing. Wag realised he could not out run the fire at that point. So he stopped. Took off his back pack. Took out some MATCHES and lit a fire in the grassy patch in front of him. Just before the firewall hit he threw himself face down on the burnt patch. He survived. The other 14 firefighters did not.

h1

How BIG is Australia?

June 19, 2022

There are 26 million people in Australia.

h1

What’s the Maths Curriculum got to do with it? WHEN Maths is, like, soooo BORING!!!!!

February 22, 2022

Australia is reviewing its Maths Curriculum.

Sides are taken. Arguments are rife. See the excellent article by Donna LuCracking the formula: how should Australia be teaching maths under the national curriculum?, The Guardian,13 FEB, 2022)

Should teachers teach? Or students explore problems? (Called Cognitive Activation in academe!)

Why not, both? Then add outdoor maths (below) plus defronting the classroom sometimes and try some maths selfies for homework. More ideas here

It doesn’t matter what’s written in the curriculum, the biggest problem in maths for students is

BOREDOM.

Here, to tackle boredom are:

41 Maths things to do before you’re 12


Mathspig outdoor play quote

mathspig outdoor-play-app

A growing body of research shows us that outdoor play leads to better physical and mental health, has positive effects on cognitive function and learning, and reduces the incidence of behavioural problems.” Maria Zotti, Nature Play, SA.

Peter Dunstan, Principal Kilkenny PS, SA, writes in SAPPA magazine, Primary Focus, that outdoor play fosters “wonderment, independence and freedom” as well as “social skills, imagination, creativity and problem solving”.

Inspired by SAPPA and NaturePlay,  Mathspig has produced her own outdoorsy maths list:

 Mathspig 41 maths things 1Mathspig 41 maths things 2mathspig 41 maths things 3

Mathspig 41 maths things 4mathspig 41 maths things 5

References:

7. Robin Hood Give us your best shot.

9. You can measure the volume of your lungs by blowing one breath into a balloon and pushing it into a full bucket of water. Measure the overflow.

15: Outdoor Maths: Times Tables

21. Light intensity links. Here and here.

25.  Sound Volume Measurement

36. Killer heels that really kill.