![3(4x - 2) = 12x \\ 12x - 6 = 12x \\ 12x - 12x = 6 \\ 0 = 6](https://tex.z-dn.net/?f=3%284x%20-%202%29%20%3D%2012x%20%5C%5C%2012x%20-%206%20%3D%2012x%20%5C%5C%2012x%20-%2012x%20%3D%206%20%5C%5C%200%20%3D%206)
The answer is no solution
Answer: Cone
Step-by-step explanation: What solid figure has a circular base and one vertex?
Answer:
His savings were of $4,200.
Step-by-step explanation:
Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:
This means that the son and daughter amount is:
![\frac{5}{14} + \frac{2}{3}(\frac{9}{14})](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B14%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28%5Cfrac%7B9%7D%7B14%7D%29)
As
is the remained that his son did not get. So
![\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B14%7D%20%2B%20%5Cfrac%7B2%7D%7B3%7D%28%5Cfrac%7B9%7D%7B14%7D%29%20%3D%20%5Cfrac%7B15%7D%7B42%7D%20%2B%20%5Cfrac%7B18%7D%7B42%7D%20%3D%20%5Cfrac%7B33%7D%7B42%7D)
Fraction his wife got:
![1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B33%7D%7B42%7D%20%3D%20%5Cfrac%7B42%7D%7B42%7D%20-%20%5Cfrac%7B33%7D%7B42%7D%20%3D%20%5Cfrac%7B9%7D%7B42%7D)
If his wife got $900, what were his savings?
Total savings are x, wife got
of x. So
![\frac{9x}{42} = 900](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B42%7D%20%3D%20900)
![9x = 900*42](https://tex.z-dn.net/?f=9x%20%3D%20900%2A42)
![x = \frac{900*42}{9}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B900%2A42%7D%7B9%7D)
![x = 100*42](https://tex.z-dn.net/?f=x%20%3D%20100%2A42)
![x = 4200](https://tex.z-dn.net/?f=x%20%3D%204200)
His savings were of $4,200.
Answer:
<h3>1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.</h3><h3>2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0</h3><h3>3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. </h3>
Step-by-step explanation:
The choices are
1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.
2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0
3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables.
4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.
The correlation coefficient is a number from -1 to 1, which indicates how strong can be the correlation between variables. It could be a strong positive correlation or a strong negative correlation. If the correlation coefficient is close to -1, then it's a strong negative correlation. If the correlation coefficient is close to 1, then it's a strong positive correlation.
Therefore, the first choice is correct.
The second choice is also correct, because the correlation coefficient is restricted to the interval [-1, 1].
The third choice is also crrect, because 1 represents a strong correlation between variables, but to have full answer, it should say "a strong positive corrrelation".