Mathematics, 22.01.2021 23:10 katefuly

the mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1. What differences would you expect to see when comparing the dot plots of the two data sets

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Answer from: Quest

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Answer from: Quest

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

$\boxed{\bold{2240a^4u^{18}w^3x^4}}$

explanation:

remove parenthesis: $\bold{\left(a\right)=a,\: -\left(-a\right)=a}$

= $\bold{4u^9w^1\cdot \: 7x^4\cdot \: 4a^3w^2\cdot \: 8\cdot \frac{1}{2}a^1\cdot \: 5u^9}$

apply rule $\bold{a^1=a}$

= $\bold{4\cdot \: 7\cdot \: 4\cdot \: 8\cdot \: 5\cdot \frac{1}{2}a^3au^9u^9w^2wx^4}$

multiply fractions: $\bold{\: a\cdot \frac{b}{c}=\frac{a\: \cdot \: b}{c}}$

= $\bold{\frac{1\cdot \: 4u^9w\cdot \: 7x^4\cdot \: 4a^3w^2\cdot \: 8a\cdot \: 5u^9}{2}}$

$\bold{1\cdot \: 4u^9w\cdot \: 7x^4\cdot \: 4a^3w^2\cdot \: 8a\cdot \: 5u^9: \ 4480x^4w^3a^4u^{18}}$

= $\bold{\frac{4480a^4u^{18}w^3x^4}{2}}$

divide: $\bold{\frac{4480}{2}=2240}$

= $\bold{2240a^4u^{18}w^3x^4}$

mordancy.

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the mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1...