Medicine & Health
The math behind doses, rates, and health
7 live exhibits. Each one already works. Change a number and see what happens.
Open as board Play with these together. Solving one grows related exhibits.
Ratios & ProportionsRunning pace: from your 5K to a marathon time
Pace is a ratio. Predicting a longer race takes an exponent, because you slow down.
StatisticsThe bell curve: what percentile is that?
Count standard deviations from the average (the z-score), and the bell curve tells you what share falls below.
StatisticsPoll margin of error: why about 1,000 people gives ±3%
The margin shrinks with the square root of the sample. Four times the people only halves it.
Exponents & LogarithmsCooling coffee: when is it drinkable?
Hot things cool fast, then slower and slower. Exponential decay predicts the sip.
Differential Equations & TransformsWhen will my coffee wear off?
Each cup rises, then fades by half every few hours. Cups stack, and the Laplace transform says why they simply add.
MatricesHitting your macros: how much of three foods?
Protein, carbs, and fat are three equations, and three foods are three unknowns. A matrix solves all of them at once.
ProbabilityA 99% accurate test, and a positive is probably wrong
When something is rare, the few real cases are outnumbered by false alarms. Bayes’ rule counts both.