The statistical definition of entropy is given by the equation ( S = -k \sum_{i} p_i \ln(p_i) ), where ( S ) is the entropy, ( k ) is the Boltzmann constant, and ( p_i ) is the probability of the system being in the ( i )-th microstate. This equation quantifies the uncertainty or disorder of a system based on the probabilities of its possible states.
The sampling universe is the totatility of items/events from which you can select or sample for statistical analysis and description.
A company may need statistical consulting if they were wanting different information on services or products they provide to the public. Statistical consulting could help a company market their products by analyzing data on the usage of the products.
A non-statistical question is one that can be answered with a definitive response and does not involve variability or data collection. For example, "What is the capital of France?" is a non-statistical question because it has a single correct answer: Paris. In contrast, a statistical question would inquire about something that requires data analysis, such as "What is the average height of people in France?"
A statistical question is one that anticipates variability in the data and can be answered by collecting and analyzing data. It typically involves a population or a sample and is designed to yield insights based on statistical methods. For example, asking "What is the average height of adult men in a city?" is a statistical question because it considers variations in height among individuals. In contrast, a non-statistical question would be one with a definitive answer, such as "What is the height of the tallest man in the world?"
The distance between two points.* * * * *No. The distance between points is not the line.The definition of a line depends on the context, because mathematicians have developed geometries other than the familiar Euclidean geometry.The classic definition of a line would be a geometric object that is an infinitely long straight path that has no thickness. In coordinate geometry, a line is defined as the set of points whose coordinates satisfy a linear equation.
At high temperature the entropy increase.
The entropy INCREASES. There are more moles in the products than in the reactants.
No, whatever is eternal must be self-sustaining, by definition, because it never had a beginning. If matter were eternal (always having been), then entropy would be infinite.
The sampling universe is the totatility of items/events from which you can select or sample for statistical analysis and description.
thawing
Order or organization could be considered antonyms of entropy. Entropy refers to a state of disorder or randomness, so its opposite would imply a state of structure or coherence.
A gas typically increases the entropy much more than the increase in moles.
You can write an equation, using the definition of "average", then solve it. The equation would look like this:"the average of a and -5" is 10 (a - 5) / 2 = 10
water freezing
Water Freezing
It increases
Basically, a number is transcendental if it isn't the solution of a polynomial equation. An example would be PI.