Posts Tagged ‘percentage’

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2. Stuntman Math: Jumping off a Building

October 14, 2019

This is a repost of Mathspig’s very popular Stuntman/woman series.

The main concern when jumping off a building is that the airbag (cardboard boxes) cover the drop zone.

The maths calculations involved in jumping off a building are straightforward. You might like to check out How Maths Solved a real murder.

Jump Height that Kills

It doesn’t take much of a fall to cause damage. Sean Hughes, professor of surgery at Imperial College, London. Says “From a height of 3m you could fracture your spine,” he says. “At around 10m, you’re looking at very serious injuries.” (The Guardian, 20 MAY 2014)

Stunt Jump from building from standing start

1 stunt jump from building

As this jump – as in most base jumps – involves a standing start:

2 Mathspig Jump off building

Airbagsupplies.

Stunt jump from building running

We will assume you are no Usain Bolt. His running speed, the fastest in the world, is 44.72 km/h (12.42m/s, 27.44 mph).

We’ll say your running speed on take-off is:

Vy = 15 mph = 24.1 kph = 6.7 m/sec

3 Mathspig stuntman running jump

Don’t do this at home.

NB: Airbag dimensions: 20m x 20m x 4 m

Handstand of death

Would you jump off a 25 story building?

 

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The Simple Math of Cheap Ice Cream & Why It Melts So Fast

July 19, 2019

Discovery Magazine: Home Made Ice Cream

More ice cream science: the scoop baking

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And the Oscar for Best Mathematical Performance Goes to …..

March 5, 2018

  ………………………………………..

And the Oscar for Best Mathematical Performance Goes to …..

Ben Zauzmer

Ben Zauzmer, a Harvard Applied Math graduate who has a 75 per cent success rate in predicting the winners of Oscar Awards every year, has correctly predicted 20 of 21 winners in 2018 Oscars, which is a success rate of 95%. 

How does he do it? He gathers thousands of data points on Oscar ceremonies over the past two decades – such as categories movies are nominated in, other award results, and aggregate critic scores – and he uses statistics to calculate how good a predictor each of those metrics is in each Oscar category. Then, he plugs in the numbers and that gives him the % chance that each film will win in each category according to  the Boston Globe.

Ben, who writes for The Hollywood Reporter, uses his mathematical model to produce  Bar Graphs like this:

This year the Best Picture was a close call, but Ben’s Mathematical Prediciton was correct.  

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8c. What Volume of Alcohol is Lethal?

August 14, 2017

The Complaint

8c: I Will Never Use this Maths

The Solution:

You are going to use this maths NOW……………..

……………………………………………………………………..

How much alcohol will kill you?

TOPICS: Decimals, %, algebra, vol, weight units (Metric)

At low levels of consumption alcohol impairs decision making and inhibits coordination. It makes you DUMB and CLUMSY, which can cause serious injuries if you, say, fall down stairs.

Legal Age to Buy or Sell Alcohol USA: 21 years

Legal Age to Buy or sell Alcohol AUST, NZ & UK: 18 Years

Legal Age to Buy or sell Alcohol CANADA: 18 – 19 Years depending on region.

At higher levels of consumption ALCOHOL can kill. It is a depressant. It acts on your central nervous system. It can STOP YOU BREATHING.

WORKSHEET PDF:  How Much Alcohol Would Kill You? WORKSHEET

WORKED EXAMPLE

1. Calculate the weight of (pure) alcohol or ethanol in the following standard drinks using the following information:

Now Ethanol =  0.79 gm/ml

More information @ alcohol.org.nz

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m+m maths 1: find the volume using m+ms!

July 6, 2015

mathspig m&m maths 1

Are you bored by doing volume calculations?

Are you looking for a new and exciting way to calculate the volume of, well, things maths teachers ask you to calculate the volume of? Like what? You know, cubes or cylinders or cones or stuff. Well, today mathspiggies, we have the perfect solution for you. Yes!

We will calculate volume by counting m&ms!!!!  Do I hear any complaints???? Anyone!!! Right!

WARNING: You may need a ship load of m&ms!!! Just saying.

Mathspig salutes CWanamaker for doing maths over and above the call of duty by actually measuring how many m&ms fit in various containers. He has provided us with the RPR (RAndom Packing Ratio) for m&ms(below) and you will find his experiments here.

Mathspig m&m maths 1 stats

Two things you may need to know:

   1 fl ounce (US) = 29.6 ml

              1cm3  = 1 ml 

Mathspig m&m maths 2

mathspig m&m maths 3

If you are like me, mathspiggies, you will be amaaaazed how many m&ms it takes to fill, say, a coffee mug. Nevertheless, you can calculate the volume from the no. of m&ms and you will find the answers here:m&m maths answers

 

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Maths Mystery Box 5: FANTASY

February 23, 2015

Maths Mystery BOX 5

 

Middle school maths challenge

%, probability and a fight to the death

The REaping mathspig

Hunger Games Maths Survivor 1a

This problem is trickier than you think. You will need this information.

Major Major HINT

Hunger Games Maths Survivor ANSWER 1

Hunger Games Maths Survivor 2

Hunger Games Maths Survivor ANSWER 2

You will find more HUNGER GAMES maths including How long would it take you to bleed to death? here.

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Death by Chocolate: The Maths

May 28, 2014

 Choco Yum Yum! Mathspig lervs chocolate. But did you know chocolate can kill you?

Chocolate contains a chemical called Theobromine. This alkaloid ( other alkaloids include cocaine, nicotine, caffeine and strychnine) can kill humans. More info Wired Magazine.

How much chocolate is too much?

Firstly, the darker the chocolate the more Theobromine it contains.

According to About Chemistry:

Based on highest possible toxicity:


wrapper crop 2White Chocolate: insignificant

.

.

wrapper crop 3

Milk Chocolate 1-5 g/kg

200gm block = 1 gm per block

……………………………………………………………………………………….

wrapper crop 1Dark Chocolate 10 g/kg

200gm block = 2gm per block

 ..

…………………………………………………….

??????????????????????????????????????Cooking or Baking chocolate* 10-50 g/kg

200mg block = 10 g per block

(* Vetmedicine: Cooking chocolate contains 8-10 times the Theobromine in Milk Chocolate )

According to Wired large doses of theobromine may cause “nausea and anorexia ….. sweating, trembling and severe headache.”

The Royal Society of Chemistry notes that chocolate does not contain caffeine, but theobromine induces similar symptoms.

LD50 for the lethal dose for 50% of the population f or Theobromine is:

1000 mg/kg 0r 1gm/kg of body weight in humans

Death by Chocolate Calculations:

1. FORMULA

Mathspig Death by Chocolate Formula

2. GRAPH

Mathspig Death by Choc Graph

3. Percentage

Mathspig Death by Chocolate  % Method