Answer:
the first is true
Step-by-step explanation:
Not as hard as you think.
Just multiply all the prime factors together.
A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.
<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
- Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.
For example, √128, √16
- Like radicals: Radicals that have the same root number and radicand (expression under the root)
For example, 2√x and 5√x are like terms.
Here in the question radical expressions are given,
By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.
Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.
Learn more about radicals here:
brainly.com/question/16181471
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Answer:
X is the GPA
Y is the Salary
Standard deviation of X is 0.4
Standard deviation of Y is 8500
E(X)=2.9
E(Y)=47200
We are given that The correlation between the two variables was r = 0.72
a)![y = a+bx](https://tex.z-dn.net/?f=y%20%3D%20a%2Bbx)
![b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B%5Csum%28x_i-%5Cbar%7Bx%7D%29%28y_i-%5Cbar%7By%7D%29%7D%7B%5Csum%28x_i-%5Cbar%7Bx%7D%29%5E2%7D%20%3D%20%5Cfrac%7Br%20%5Ctimes%20%5Csqrt%7Bvar%28X%29%20%5Ctimes%20Var%28Y%29%7D%7D%7BVar%28X%29%7D%20%3D%20%20%5Cfrac%7B0.72%20%5Ctimes%20%5Csqrt%7B0.4%5E2%20%5Ctimes%208500%5E2%7D%7D%7B0.4%5E2%7D%20%3D%2015300)
![a=y-bx = 47200-(15300 \times 29) = 2830](https://tex.z-dn.net/?f=a%3Dy-bx%20%3D%2047200-%2815300%20%5Ctimes%2029%29%20%3D%202830)
So, slope = 15300
Intercept = 2830
So, equation : ![y = 2830+15300x](https://tex.z-dn.net/?f=y%20%3D%202830%2B15300x)
b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?
![y = 2830+15300 \times 3.3 = 53320](https://tex.z-dn.net/?f=y%20%3D%202830%2B15300%20%5Ctimes%203.3%20%3D%2053320)
Observed salary = Residual + predicted = -1860+53320 = 51440
c)) What proportion of the variation in salaries is explained by variation in GPA?
The proportion of the variation in salaries is explained by variation in GPA = ![r^2 = (0.72)^2 =0.5184](https://tex.z-dn.net/?f=r%5E2%20%3D%20%280.72%29%5E2%20%3D0.5184)
Answer:
30 more students
Step-by-step explanation:
690 + 30 = 720
720 / 9 = 80