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In mathematics, particularly in the context of proportions, the terms "means" and "extremes" refer to the four terms in a proportion ( \frac{a}{b} = \frac{c}{d} ). In this case, ( a ) and ( d ) are called the extremes, while ( b ) and ( c ) are the means. The relationship signifies that the product of the means equals the product of the extremes, or ( a \times d = b \times c ). This concept is fundamental in solving problems involving ratios and proportions.
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What is the product of means and extremes?
The product of means and extremes refers to a property in proportions. If two ratios (a/b = c/d) are equal, then the product of the means (b and c) is equal to the product of the extremes (a and d), expressed as (b \cdot c = a \cdot d). This relationship is often used in solving problems involving proportions, ensuring that the cross-multiplication yields equivalent results.
Solving the means and extremes?
In mathematics, "means and extremes" typically refers to the relationship between the terms of a proportion. In a proportion expressed as ( a/b = c/d ), ( a ) and ( d ) are called the extremes, while ( b ) and ( c ) are the means. To solve for an unknown in such equations, you can cross-multiply, leading to the equation ( a \cdot d = b \cdot c ). This principle allows for finding missing values and establishing equivalent ratios in various applications.
What is a proportion that has means 6 and 18 and extremes 9 and 12?
In a proportion, the means are the middle terms, and the extremes are the outer terms. Given the means are 6 and 18, and the extremes are 9 and 12, the proportion can be expressed as ( \frac{9}{12} = \frac{6}{18} ). Simplifying both sides, ( \frac{9}{12} ) reduces to ( \frac{3}{4} ), and ( \frac{6}{18} ) reduces to ( \frac{1}{3} ), indicating that these values do not form a valid proportion.
What is the mathematical term the product of the mean equals the product of the extremes?
: The product of the means is equal to the product of the extremes. When you cross multiply to show 2 fractions are equivalent. Ex a/c =b/d so cross multiplying would show a x d = c x b c x b are the means a x d are the extremes Their products are equal in a proportion or equivalent fractions that is the answer and it is correct
Definition of the word acquire?
The definition of acquire means to gain possession, to have, or to get.
What is the definition of the right lower extremities?
Extremities are the extremes- fingers, hands, arms, and toes, feet, legs.
What is extremes?
The answer for take 5 WIN a stero system puzzel for extreme happiness is CLOUDNINE
What is the product of the extremes and the means called?
i don't know and i want to know too!
What is the product of means and extremes?
The product of means and extremes refers to a property in proportions. If two ratios (a/b = c/d) are equal, then the product of the means (b and c) is equal to the product of the extremes (a and d), expressed as (b \cdot c = a \cdot d). This relationship is often used in solving problems involving proportions, ensuring that the cross-multiplication yields equivalent results.
What is the definition of box plot?
a graphic way to display the median, quartiles, and extremes of a data set on a number line to show the distribution of the data.
What is the product of the numerator of one ratio and the denominator of the other ratio called in a proportion?
The numerator of the second ratio and the denominator of the first ratio are called the means, and the numerator of the first ratio and the denominator of the second ratio are called the extremes. The product of the means equals the product of the extremes.
What is the definition of reggae?
it means kings music that is the definition
What is a proportion that has means 9 and10 and extremes 6 and 15?
6/9 = 10/15
What is a proportion that has means 6 and 18 and extremes 9 and 12?
In a proportion, the means are the middle terms, and the extremes are the outer terms. Given the means are 6 and 18, and the extremes are 9 and 12, the proportion can be expressed as ( \frac{9}{12} = \frac{6}{18} ). Simplifying both sides, ( \frac{9}{12} ) reduces to ( \frac{3}{4} ), and ( \frac{6}{18} ) reduces to ( \frac{1}{3} ), indicating that these values do not form a valid proportion.
What is the mathematical term the product of the mean equals the product of the extremes?
: The product of the means is equal to the product of the extremes. When you cross multiply to show 2 fractions are equivalent. Ex a/c =b/d so cross multiplying would show a x d = c x b c x b are the means a x d are the extremes Their products are equal in a proportion or equivalent fractions that is the answer and it is correct
When was The Extremes created?
The Extremes was created in 1998.
What is the definition of tempest?
The answer to the definition of tempests is well a tempest means a storm so tempests means storms.
