Answer:
-25
Step-by-step explanation:
Hope this helps! :)
Answer:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C1.13%29%20%3D%200.8708)
And the best option would be:
![0.8708](https://tex.z-dn.net/?f=%200.8708)
Step-by-step explanation:
We assume that the distribution for the random variable is:
![X \sim N (\mu=0 , \sigma=1)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%20%28%5Cmu%3D0%20%2C%20%5Csigma%3D1%29%20)
For this case we want to calculate the following probability:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C1.13%29)
And we can use the normal standard distribution or excel and we got:
![P(z](https://tex.z-dn.net/?f=%20P%28z%3C1.13%29%20%3D%200.8708)
And the best option would be:
![0.8708](https://tex.z-dn.net/?f=%200.8708)
Answer:
![A(-1,4)\to A''(-1,-1)](https://tex.z-dn.net/?f=A%28-1%2C4%29%5Cto%20A%27%27%28-1%2C-1%29)
![B(0,2)\to B''(1,0)](https://tex.z-dn.net/?f=B%280%2C2%29%5Cto%20B%27%27%281%2C0%29)
![C(1,2)\to C''(1,1)](https://tex.z-dn.net/?f=C%281%2C2%29%5Cto%20C%27%27%281%2C1%29)
![D(-2,4)\to D''(-1,2)](https://tex.z-dn.net/?f=D%28-2%2C4%29%5Cto%20D%27%27%28-1%2C2%29)
Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is
![(x,y)\to(-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%28-y%2Cx%29)
This implies that:
![A(-1,4)\to A'(-4,-1)](https://tex.z-dn.net/?f=A%28-1%2C4%29%5Cto%20A%27%28-4%2C-1%29)
![B(0,2)\to B'(-2,0)](https://tex.z-dn.net/?f=B%280%2C2%29%5Cto%20B%27%28-2%2C0%29)
![C(1,2)\to C'(-2,1)](https://tex.z-dn.net/?f=C%281%2C2%29%5Cto%20C%27%28-2%2C1%29)
![D(2,4)\to D'(-4,2)](https://tex.z-dn.net/?f=D%282%2C4%29%5Cto%20D%27%28-4%2C2%29)
This is followed by a translation 3 units to the right.
This also has the rule: ![(x,y)\to (x+3,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2B3%2Cy%29)
![A'(-4,-1)\to A''(-1,-1)](https://tex.z-dn.net/?f=A%27%28-4%2C-1%29%5Cto%20A%27%27%28-1%2C-1%29)
![B'(-2,0)\to B''(1,0)](https://tex.z-dn.net/?f=B%27%28-2%2C0%29%5Cto%20B%27%27%281%2C0%29)
![C'(-2,1)\to C''(1,1)](https://tex.z-dn.net/?f=C%27%28-2%2C1%29%5Cto%20C%27%27%281%2C1%29)
![D'(-4,2)\to D''(-1,2)](https://tex.z-dn.net/?f=D%27%28-4%2C2%29%5Cto%20D%27%27%28-1%2C2%29)
Therefore:
![A(-1,4)\to A''(-1,-1)](https://tex.z-dn.net/?f=A%28-1%2C4%29%5Cto%20A%27%27%28-1%2C-1%29)
![B(0,2)\to B''(1,0)](https://tex.z-dn.net/?f=B%280%2C2%29%5Cto%20B%27%27%281%2C0%29)
![C(1,2)\to C''(1,1)](https://tex.z-dn.net/?f=C%281%2C2%29%5Cto%20C%27%27%281%2C1%29)
![D(-2,4)\to D''(-1,2)](https://tex.z-dn.net/?f=D%28-2%2C4%29%5Cto%20D%27%27%28-1%2C2%29)
You have to divide the numerator (top number) by the denominator (bottom number). For example, 1/2 is 0.5
However, some end up as never-ending decimals, like 1/3, which converts to 0.333 repeating.
Getting the central area of a polygon is not possible. Probably the question refers to the central angle. In a a regular polygon, getting the central angle is that you need to use the formula.
Central Angle of a polygon = 360 degrees / number of sides of a polygon.
Why 360 degrees? Because, a circle has a total of 360 degrees. And a circle is a polygon with no sides.