Answer:
<em><u>The two main branches of statistics are descriptive statistics and inferential statistics. Both of these are employed in scientific analysis of data and both are equally important for the student of statistics.</u></em>
Answer: it’s 88.5 aka answer B
Step-by-step explanation:
The required equation of line is:
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
Step-by-step explanation:
Given
m=-1
And point (2,-1)
The general form of slope intercept form of equation of line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Putting the value of the slope
![y=-(1)(x)+b\\y=-x+b](https://tex.z-dn.net/?f=y%3D-%281%29%28x%29%2Bb%5C%5Cy%3D-x%2Bb)
To find the value of b, putting (2,-1) in the equation
![-1=-(2)+b\\-1=-2+b\\b = 2-1\\b=1](https://tex.z-dn.net/?f=-1%3D-%282%29%2Bb%5C%5C-1%3D-2%2Bb%5C%5Cb%20%3D%202-1%5C%5Cb%3D1)
Putting the values of b and m in equation
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
The required equation of line is:
![y=-x+1](https://tex.z-dn.net/?f=y%3D-x%2B1)
Keywords: Equation of line
Learn more about equation of line at:
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Answer:
A, 2/5
Step-by-step explanation:
8 + 10 + 9 + 6 + 7 = 40
9 + 7 = 16
16/40
divide both sides by 8 (common factor)
2/5
If
![d](https://tex.z-dn.net/?f=d)
is the common difference between terms in the sequence
![\{a_n\}](https://tex.z-dn.net/?f=%5C%7Ba_n%5C%7D)
, then
![a_1=-21](https://tex.z-dn.net/?f=a_1%3D-21)
![a_2=a_1+d=-21+d](https://tex.z-dn.net/?f=a_2%3Da_1%2Bd%3D-21%2Bd)
![a_3=a_2+d=-21+2d](https://tex.z-dn.net/?f=a_3%3Da_2%2Bd%3D-21%2B2d)
...
![a_n=a_{n-1}+d=\cdots=-21+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2Bd%3D%5Ccdots%3D-21%2B%28n-1%29d)
You're told that
![S_{16}=-288](https://tex.z-dn.net/?f=S_%7B16%7D%3D-288)
(the sum of the first 16 terms in the sequence, presumably). Well, we know that
![S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)](https://tex.z-dn.net/?f=S_%7B16%7D%3D%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%7B16%7Da_n%3D%5Csum_%7Bn%3D1%7D%5E%7B16%7D%28-21%2B%28n-1%29d%29)
![S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n](https://tex.z-dn.net/?f=S_%7B16%7D%3D%5Cdisplaystyle%28-21-d%29%5Csum_%7Bn%3D1%7D%5E%7B16%7D1%2Bd%5Csum_%7Bn%3D1%7D%5E%7B16%7Dn)
Recall that
![\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5Ekn%3D%5Cfrac%7Bk%28k%2B1%29%7D2)
so that we have
![-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25](https://tex.z-dn.net/?f=-288%3D16%28-21-d%29%2B%5Cdfrac%7B16%2816%2B1%29%7D2d%5Cimplies%20d%3D%5Cdfrac25)
So we get