10,000,000+2,000,000+400,000+30,000
I found the corresponding image. Pls. see attachment.
<span>The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is
2 (translation and rotation). A
rotation translation must be used to make the two polygons coincide.
A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is
a translation 2 units down and a 90° counterclockwise rotation about point D </span>
Answer:
<h3>
a) Mean=1.2</h3><h3>b) The standard deviation is
![\sigma=3.1](https://tex.z-dn.net/?f=%5Csigma%3D3.1)
</h3>
Step-by-step explanation:
<h3>Given that the discrete probability distribution below :</h3><h3><u>Outcome Probability
</u></h3>
0 0.35
1 0.36
2 0.14
3 0.08
4 0.04
5 0.02
6 0.01
<h3>a) To find the mean of this distribution :</h3><h3>The formula is
![E(X)=\sum X.P(X)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20X.P%28X%29)
</h3><h3><u>X P(X) XP(X) </u>
![X^2P(X)](https://tex.z-dn.net/?f=X%5E2P%28X%29)
<u /></h3>
0 0.35 0 0
1 0.36 0.36 0.36
2 0.14 0.28 1.12
3 0.08 0.24 2.16
4 0.04 0.16 2.56
5 0.02 0.1 2.5
6 0.01 0.06 2.16
_________________________________________________
![\sum X^2P(X)=10.86](https://tex.z-dn.net/?f=%5Csum%20X%5E2P%28X%29%3D10.86)
_________________________________________________
- Now substitute the value in the formula we get
![E(X)=\sum X.P(X)](https://tex.z-dn.net/?f=E%28X%29%3D%5Csum%20X.P%28X%29)
![E(X)=1.2](https://tex.z-dn.net/?f=E%28X%29%3D1.2)
<h3>Therefore Mean=1.2</h3><h3>b) To find Standard Deviation :</h3><h3>The formula is
![\sigma=\sqrt{X^2P(X)-(XP(X))^2}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7BX%5E2P%28X%29-%28XP%28X%29%29%5E2%7D)
</h3>
- Substitute the values i the formula we have
![\sigma=\sqrt{10.86-(1.2)^2}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B10.86-%281.2%29%5E2%7D)
![=\sqrt{10.86-1.44}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B10.86-1.44%7D)
![=\sqrt{9.42}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B9.42%7D)
![=3.0692](https://tex.z-dn.net/?f=%3D3.0692)
<h3>Therefore the standard deviation is
![\sigma=3.1](https://tex.z-dn.net/?f=%5Csigma%3D3.1)
</h3>
Answer:
to find the perimeter of a rectangle , just add up all the values of the sides.
hope it helps :)
180/4 = 45
45 x 3 = 135
answer: <span>The measure of the larger angle is 135 (last choice)</span>