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Why is inequality important in math?
Inequality is important in math because it allows for the comparison of values and the expression of relationships between them, such as greater than, less than, or not equal to. This concept is crucial in various fields, including algebra, calculus, and statistics, as it helps in solving problems that involve constraints and optimizing solutions. Inequalities also play a significant role in real-world applications, such as economics, engineering, and social sciences, where they help model and analyze situations involving limited resources or varying conditions.
How can you recognize whether a real-world situation should be represented by an equation or an inequality?
To determine whether a real-world situation should be represented by an equation or an inequality, assess the nature of the relationship between the variables involved. If the relationship requires equality—where one quantity is exactly equal to another—you would use an equation. Conversely, if the situation involves a range of possible values, constraints, or conditions where one quantity is greater than, less than, or not equal to another, an inequality is more appropriate. For instance, budgeting scenarios often involve inequalities, while exact measurements may be represented with equations.
Where can you find an example of desiccation?
Desiccation is used to describe an object which is in a state of extreme dryness. As an example, in the natural world desiccation is the drying out of a living object such as a fish out of water or crops in a drought.
What are the differences between the Emperical Rule and Chebyshev's Theorem?
The Empirical Rule applies solely to the NORMAL distribution, while Chebyshev's Theorem (Chebyshev's Inequality, Tchebysheff's Inequality, Bienaymé-Chebyshev Inequality) deals with ALL (well, rather, REAL-WORLD) distributions. The Empirical Rule is stronger than Chebyshev's Inequality, but applies to fewer cases. The Empirical Rule: - Applies to normal distributions. - About 68% of the values lie within one standard deviation of the mean. - About 95% of the values lie within two standard deviations of the mean. - About 99.7% of the values lie within three standard deviations of the mean. - For more precise values or values for another interval, use a normalcdf function on a calculator or integrate e^(-(x - mu)^2/(2*(sigma^2))) / (sigma*sqrt(2*pi)) along the desired interval (where mu is the population mean and sigma is the population standard deviation). Chebyshev's Theorem/Inequality: - Applies to all (real-world) distributions. - No more than 1/(k^2) of the values are more than k standard deviations away from the mean. This yields the following in comparison to the Empirical Rule: - No more than [all] of the values are more than 1 standard deviation away from the mean. - No more than 1/4 of the values are more than 2 standard deviations away from the mean. - No more than 1/9 of the values are more than 3 standard deviations away from the mean. - This is weaker than the Empirical Rule for the case of the normal distribution, but can be applied to all (real-world) distributions. For example, for a normal distribution, Chebyshev's Inequality states that at most 1/4 of the values are beyond 2 standard deviations from the mean, which means that at least 75% are within 2 standard deviations of the mean. The Empirical Rule makes the much stronger statement that about 95% of the values are within 2 standard deviations of the mean. However, for a distribution that has significant skew or other attributes that do not match the normal distribution, one can use Chebyshev's Inequality, but not the Empirical Rule. - Chebyshev's Inequality is a "fall-back" for distributions that cannot be modeled by approximations with more specific rules and provisions, such as the Empirical Rule.
What are limiting factored for humans?
Control of population growth is based upon limiting factors and population interactions in each ecosystem. These are resources such as food, water, oxygen, and space availability.
Extreme inequality of resources in the world was initiated by?
The great depression is very wrong. The answer is the industrial revolution
Where in the world the marathon was initiated?
Greece.
Which event at the conclusion of World War 2 initiated the Cold War?
Which event at the conclusion of World War 2 initiated the Cold War?Read more: Which_event_at_the_conclusion_of_World_War_2_initiated_the_Cold_War
How can world resources be managed to mitigate local inequality?
In order to manage world resources we would first have to have a world government, or at least a rather far-reaching international treaty concerning the management of world resources. So far it has been remarkably diffiuclt to obtain a treaty about reduction of greenhouse gas emissions, which is just one aspect of resource management. Realistically, I do not expect to see any form of unified global resource management.
What is the poorest mega-city?
Mumbai, India is considered one of the poorest mega-cities in the world. Despite being a major economic hub, it also faces issues of extreme poverty, slums, and income inequality.
Christopher Columbus's contribution to the world?
He initiated European colonization in the New World.
When was World Extreme Fighting created?
World Extreme Fighting was created in 1997.
Did Austrian-Serbian hostilities initiated World War 1.?
true
Does gender inequality exist in every country of the world?
yes
What forms of inequality and discrimination did women face in the professional world?
There are many forms of inequality and discrimination that women face in the professional world. One of these inequalities is the ability to play professional football.
When was World Extreme Cagefighting created?
World Extreme Cagefighting was created on 2001-06-30.
importance of bms and cctv course?
Building Management Systems leads to more optimized control of resources, high and security and ease of access from anywhere The internet of things initiated by big technology ventures will create a smart world which can be controlled by just a click.
