Answer:
3 vanilla
Step-by-step explanation:
If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.
Unless there is more than 12 in the order. The question is vague
Answer:
22
Step-by-step explanation:
B racket
I ndices
D division
M multiplication
A addition
Subtraction
Work out answer using the BIDMAS order
notes:
c= Colin
s=Sara
g=Gordon
c=g+36 (1)
c : g
5 : 1
c/g=5
c=g*5 (2)
=> from statement (1) => g*5=g+36
5g-g=36
4g=36
g=36/4=9 g=9 sweets
=> from statement (2)=>c=5*9=45 c=45 sweets
s : g
2 : 1
=>s/g=2/1
=> s=2g
s=2*9 s=18 sweets
sum=c+s+g
sum=45+18+9=72 sweets
Answer:
The answer is "0.68".
Step-by-step explanation:
Given value:
![X_i \sim \frac{G_1}{2}](https://tex.z-dn.net/?f=X_i%20%5Csim%20%5Cfrac%7BG_1%7D%7B2%7D)
![E(X_i)=2 \\](https://tex.z-dn.net/?f=E%28X_i%29%3D2%20%5C%5C)
![Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\](https://tex.z-dn.net/?f=Var%20%28X_i%29%3D%20%5Cfrac%7B1-%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%28%5Cfrac%7B1%7D%7B2%7D%29%5E2%7D%5C%5C)
![= \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%20%5Cfrac%7B2-1%7D%7B2%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B4%7D%7B1%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B4%7D%7B2%7D%5C%5C%5C%5C%3D2)
Now we calculate the ![\bar X \sim N(2, \sqrt{\frac{2}{n}})\\](https://tex.z-dn.net/?f=%5Cbar%20X%20%5Csim%20N%282%2C%20%5Csqrt%7B%5Cfrac%7B2%7D%7Bn%7D%7D%29%5C%5C)
![\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}} \sim N(0, 1)\\](https://tex.z-dn.net/?f=%5Cto%20%5Cfrac%7B%5Cbar%20X%20-%202%7D%7B%5Csqrt%7B%5Cfrac%7B2%7D%7Bn%7D%7D%7D%20%20%5Csim%20%20N%280%2C%201%29%5C%5C)
![\to \sum^n_{i=1} \frac{X_i - 2}{n} \times\sqrt{\frac{n}{2}}} \sim N(0, 1)\\\\\to \sum^n_{i=1} \frac{X_i - 2}{\sqrt{2n}} \sim N(0, 1)\\](https://tex.z-dn.net/?f=%5Cto%20%5Csum%5En_%7Bi%3D1%7D%20%20%5Cfrac%7BX_i%20-%202%7D%7Bn%7D%20%20%5Ctimes%5Csqrt%7B%5Cfrac%7Bn%7D%7B2%7D%7D%7D%20%20%5Csim%20%20N%280%2C%201%29%5C%5C%5C%5C%5Cto%20%20%5Csum%5En_%7Bi%3D1%7D%20%20%5Cfrac%7BX_i%20-%202%7D%7B%5Csqrt%7B2n%7D%7D%20%20%5Csim%20%20N%280%2C%201%29%5C%5C)
![\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\](https://tex.z-dn.net/?f=%5Cto%20Z_n%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7Bn%7D%7D%20%5Csum%5En_%7Bi%3D1%7D%20%28X_i%20-2%29%20%5Csim%20N%280%2C%202%29%5C%5C)
![\to P(-1 \leq X_n \leq 2) = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\](https://tex.z-dn.net/?f=%5Cto%20P%28-1%20%5Cleq%20X_n%20%5Cleq%202%29%20%20%3D%20P%28Z_n%20%5Cleq%20Z%29%20-P%28Z_n%20%5Cleq%20-1%29%20%5C%5C%5C%5C)
![= 0.92 -0.24\\\\= 0.68](https://tex.z-dn.net/?f=%3D%200.92%20-0.24%5C%5C%5C%5C%3D%200.68)