He would keep 3/8 for himself. Hope it helps! :)
The answer would be 23 1/3
Answer: 22.0.6%
Step-by-step explanation:
Given : According to a human modeling project, the distribution of foot lengths of women is approximately Normal with
and
.
In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long.
Then, the probability that women in the United States will wear a size 6 or smaller :-
![P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%](https://tex.z-dn.net/?f=P%28x%5Cleq22.4%29%3DP%28z%5Cleq%5Cdfrac%7B22.4-23.4%7D%7B1.3%7D%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%5Capprox%20P%28z%5Cleq-0.77%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0.77%29%5C%5C%5C%5C%3D1-0.77935%3D0.2206499%5Capprox0.2206%3D22.06%5C%25)
Hence, the required answer = 22.0.6%
Answer: OPTION A.
Step-by-step explanation:
You can observe that in the figure CDEF the vertices are:
![C(-2,-1),\ D(-2,0),\ E(2,2)\ and\ F(2,1)](https://tex.z-dn.net/?f=C%28-2%2C-1%29%2C%5C%20D%28-2%2C0%29%2C%5C%20E%282%2C2%29%5C%20and%5C%20F%282%2C1%29)
And in the figure C'D'E'F' the vertices are:
![C'(-8,-4),\ D'(-8,0),\ E'(8,8)\ and\ F'(8,4)](https://tex.z-dn.net/?f=C%27%28-8%2C-4%29%2C%5C%20D%27%28-8%2C0%29%2C%5C%20E%27%288%2C8%29%5C%20and%5C%20F%27%288%2C4%29)
For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:
For C'(-8,-4) and C(-2,-1):
![\frac{-8}{-2}=4\\\\\frac{-4}{-1}=4](https://tex.z-dn.net/?f=%5Cfrac%7B-8%7D%7B-2%7D%3D4%5C%5C%5C%5C%5Cfrac%7B-4%7D%7B-1%7D%3D4)
Let's choose another vertex. For E'(8,8) and E(2,2):
![\frac{8}{2}=4\\\\\frac{8}{2}=4](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B2%7D%3D4%5C%5C%5C%5C%5Cfrac%7B8%7D%7B2%7D%3D4)
You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:
→![(4x, 4y)](https://tex.z-dn.net/?f=%284x%2C%204y%29)