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In differential calculus, related rates problems involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known. The rate of change is usually with respect to time. Because science and engineering often relate quantities to each other, the methods of related rates have broad ...
Homicide clearance rate in the USA has been decreasing from 93% in 1962 to 54% in 2020. [2] Some U.S. police forces have been criticized for overuse of "exceptional clearance", which is intended to classify as "cleared" cases where probable cause to arrest a suspect exists, but police are unable to do so for reasons outside their control (such as death or incarceration in a foreign country).
Violent crime rate per 100k population by state (2023) [1] This is a list of U.S. states and territories by violent crime rate. It is typically expressed in units of incidents per 100,000 individuals per year; thus, a violent crime rate of 300 (per 100,000 inhabitants) in a population of 100,000 would mean 300 incidents of violent crime per year in that entire population, or 0.3% out of the total.
A crime harm index is a measurement of crime rates in which crimes are weighted based on how much "harm" they cause. The most simple and most common method of measuring an area's crime rate is to count the number of crimes. In this case, one minor crime (e.g. a shoplifting incident) counts for the same as a single very serious crime (e.g. murder).
Crime statistics refer to systematic, quantitative results about crime, as opposed to crime news or anecdotes. Notably, crime statistics can be the result of two rather different processes: Notably, crime statistics can be the result of two rather different processes:
The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations can be ...
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In mathematics, a rate is the quotient of two quantities, often represented as a fraction. [1] If the divisor (or fraction denominator) in the rate is equal to one expressed as a single unit, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the dividend (the fraction numerator) of the rate expresses the corresponding rate of change ...