![\text{Like terms are } \frac{2}{5}y \text{ and } -0.2y](https://tex.z-dn.net/?f=%5Ctext%7BLike%20terms%20are%20%7D%20%5Cfrac%7B2%7D%7B5%7Dy%20%5Ctext%7B%20and%20%7D%20-0.2y)
<em><u>Solution:</u></em>
<em><u>Given that the expression is:</u></em>
![\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dy%20%2B%20%5Cfrac%7B1%7D%7B5%7Dx%20-0.2y-6%2B%28-2%29)
We have to select the like terms
"Like terms" means that terms that has same variables with same exponent and same ( or different ) coefficients
In the given expression, y is a variable
Two terms has y as variable : ![\frac{2}{5}y \text{ and } -0.2y](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dy%20%5Ctext%7B%20and%20%7D%20-0.2y)
Here variable "y" is same in both terms and coefficients are different
"x" is also a variable in given expression. But there are no other terms with "x" as variable
So they form a like terms
![\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)\\\\\frac{2}{5}y - 0.2y + \frac{1}{5}x -6 + (-2)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dy%20%2B%20%5Cfrac%7B1%7D%7B5%7Dx%20-0.2y-6%2B%28-2%29%5C%5C%5C%5C%5Cfrac%7B2%7D%7B5%7Dy%20-%200.2y%20%2B%20%5Cfrac%7B1%7D%7B5%7Dx%20-6%20%2B%20%28-2%29)
Thus the like terms are : ![\frac{2}{5}y \text{ and } -0.2y](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7Dy%20%5Ctext%7B%20and%20%7D%20-0.2y)
Answer: 2.508
Step-by-step explanation:
As per give , we have
Sample size : n= 23
Degree of freedom : df= n-1=22
significance level : ![\alpha: 1-0.98=0.02](https://tex.z-dn.net/?f=%5Calpha%3A%201-0.98%3D0.02)
Since , the sample size is small (n<30) and population standard deviation is unknown.
So , we use t-test.
For confidence interval , we find two-tailed test value.
Critical t-value : ![t_{\alpha/2, df}=t_{0.01,22}](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%2C%20df%7D%3Dt_%7B0.01%2C22%7D)
[using students's t-critical value table]
Hence, the critical value that should be used in constructing the confidence interval = 2.508
Answer:
a and b are paralell
Step-by-step explanation:
I'm not sure abt the other part but I'm pretty sure its consecutive interior angles converse