Answer:
Step-by-step explanation:
Matching each vocabulary word with its corresponding example:
(1). All Americans = f. Population (a group of items, units or subjects under reference of study e.g. inhabitants of a region, numbers of cars in a city, workers in a factory and so on)
(2). The proportion of all Americans who strongly agree that prisoners with life sentences who have Alzheimer's should be released = c. Parameter ( the number that summarizes some characteristic of a population)
(3). The proportion of the 85 Americans surveyed who strongly agree that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the sample characteristic corresponding to a population parameter used when a sample is used to make statistical inference about a population)
(4). The answer-Strongly Agree' or 'Agree, or Disagree, or Strongly Disagree = b. Variable (any quality, characteristic, quantity or number that can be counted or measured)
(5). The 85 Americans who participated in the survey = e. Sample (a part or fraction of a population selected on some basis)
(6). The list of answers that the 85 Americans gave = a. Data (the pieces of information collected to be used for the analysis)
The Solution.
The given points are
![D(-4,-2)\text{ and E(1,8)}](https://tex.z-dn.net/?f=D%28-4%2C-2%29%5Ctext%7B%20and%20E%281%2C8%29%7D)
The formula is
![\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}](https://tex.z-dn.net/?f=%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D_%7B%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D)
In this case,
![m=3,n=2](https://tex.z-dn.net/?f=m%3D3%2Cn%3D2)
Therefore,
![\begin{gathered} (\frac{mx_2+nx_1}{m+n}_{},\frac{my_2+ny_1}{m+n}) \\ =(\frac{3(1)+_{}2(-4)_{}}{3+2}_{},\frac{3(8)_{}+2(-2)_{}}{3+2}) \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D_%7B%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%29%20%5C%5C%20%3D%28%5Cfrac%7B3%281%29%2B_%7B%7D2%28-4%29_%7B%7D%7D%7B3%2B2%7D_%7B%7D%2C%5Cfrac%7B3%288%29_%7B%7D%2B2%28-2%29_%7B%7D%7D%7B3%2B2%7D%29%20%5C%5C%20%20%5Cend%7Bgathered%7D)
![=(\frac{3-8}{5},\frac{24-4}{5})=(-\frac{5}{5},\frac{20}{5})](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B3-8%7D%7B5%7D%2C%5Cfrac%7B24-4%7D%7B5%7D%29%3D%28-%5Cfrac%7B5%7D%7B5%7D%2C%5Cfrac%7B20%7D%7B5%7D%29)
![=(-1,4)](https://tex.z-dn.net/?f=%3D%28-1%2C4%29)
Hence, the correct answer is (-1, 4) (option 3)
Answer:
-25
Step-by-step explanation:
Evaluate -x - 6 x + 10 where x = 5:
-x - 6 x + 10 = -5 - 6×5 + 10
-6×5 = -30:
-5 + -30 + 10
-5 - 30 + 10 = 10 - (5 + 30):
10 - (5 + 30)
5 + 30 = 35:
10 - 35
10 - 35 = -(35 - 10):
-(35 - 10)
| 3 | 5
- | 1 | 0
| 2 | 5:
Answer: -25
Y = 3 will be a straight, horizontal line on 3. It will only touch the y-axis since there's no x. So, the X-Intercept doesn't exist, the Y-Intercept will be (0,3), and the slope of the line is 0.
I think it is 2,504.
when you round 2,505 it comes out to 2,510.