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IRINA_888 [86]
3 years ago
7

Find the least common multiple of 9w2 and 12w4 .

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0
9w² and 12w⁴

9w² = 3*3w²
12w⁴ = 3*4*w⁴

To create Least common multiple we need 
1) all numbers, and if they are repeating more than one time, we take largest number of repetitions (we have 2 repetitions of 3 in 9, so we will take 3*3)
So, for number part 3*3*4 = 36

2) For letter part, we will take the letter with the highest exponent. So, we will take w⁴.

3) Final answer is 3*3*3*4w⁴ = 36w⁴

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What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

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<em>(Please refer to the attached image for the table )</em>

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So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
Read 2 more answers
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