Answer:
45
Step-by-step explanation:
20 / 9 = 2.222222222223
100 / 45 = 2.222222222223
9 is 45% of 20 and 45 is 45% of 100.
Answer:0.8413
Step-by-step explanation:
Mean= 188, Std Dev. =20.8, Z=(x-mean)/Std Dev
P(X less than 167.2)= P(Z less than (167.2-188)/20.8)
=P(Z less than (-20.8/20.8))
=P(z less than -1)= P(Z less 1)
The value of 1 in the normal distribution table is 0.3413
So we add 0.5 to 0.3413 =0.8413
Answer:
Step-by-step explanation:
p^2-8p-9
factor out the trinomial
(p-9)(p+1)
Therefore, she's incorrect. Because (p-1)(p+9)=p^2-p+9p-9=p^2+8p-9 and that's different from p^2-8p-9.
Firstly, we'll fix the postions where the 
women will be. We have 
forms to do that. So, we'll obtain a row like:
The n+1 spaces represented by the underline positions will receive the men of the row. Then,
Since there is no women sitting together, we must write that 
. It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:
The equation (i) can be rewritten as:
We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known: ![\dfrac{[(n)+(m-n+1)]!}{(n)!(m-n+1)!}=\dfrac{(m+1)!}{n!(m-n+1)!}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5B%28n%29%2B%28m-n%2B1%29%5D%21%7D%7B%28n%29%21%28m-n%2B1%29%21%7D%3D%5Cdfrac%7B%28m%2B1%29%21%7D%7Bn%21%28m-n%2B1%29%21%7D)
[I can write the proof if you want]
Now, we just have to calculate the number of forms to permute the men that are dispposed in the row: 
Multiplying all results:
