Answer:
y = 2(x + 3) + (-2) is the required equation.
Step-by-step explanation:
Here the given points are A( -1,2) and B(-3-2)
Now, slope of the equation = ![\frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -2}{-3-(-1)} = \frac{-4}{-2} = 2](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%20%3D%20%5Cfrac%7B-2%20-2%7D%7B-3-%28-1%29%7D%20%20%20%3D%20%5Cfrac%7B-4%7D%7B-2%7D%20%20%20%3D%202)
Hence, the slope of the equation is m = 2
Now, by POINT SLOPE FORMULA:
The equation of a line with slope m and point (x0, y0) is given as
(y - y0) = m (x -x0)
So, here the equation of line with (-3, -2) is
y - (-2) = 2 (x - (-3))
or, y + 2 = 2(x + 3)
⇒ y = 2(x + 3) + (-2) is the required equation.
There would be 12.19 centimeters.Hope it helps :)
Answer:
CI = {9.947; 12.253}
Step-by-step explanation:
Average time (μ) = 11.1 years
Standard deviation (σ) = 4.5 years
Sample size (n) = 101 responses
Z-score for a 99% confidence interval (z) = 2.576
The confidence interval is defined by the following expression:
![\mu \pm z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
The lower (L) and upper (U) limits of the 99% confidence interval is:
![L= 11.1 - 2.576*\frac{4.5}{\sqrt{101}} \\L=9.947\\U= 11.1+ 2.576*\frac{4.5}{\sqrt{101}} \\U=12.253\\](https://tex.z-dn.net/?f=L%3D%2011.1%20-%202.576%2A%5Cfrac%7B4.5%7D%7B%5Csqrt%7B101%7D%7D%20%5C%5CL%3D9.947%5C%5CU%3D%2011.1%2B%202.576%2A%5Cfrac%7B4.5%7D%7B%5Csqrt%7B101%7D%7D%20%5C%5CU%3D12.253%5C%5C)
The 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company is CI = {9.947; 12.253}
The earth rotates on an axis , just like when u see the clouds “moving” it’s not the clouds the earth is rotating on its axis. This causes Day and Night. Yes, in your perspective the UFO will be moving although if u were inside the UFO it would appear that the East is moving when it is.