Answer:
165.6
Step-by-step explanation:
165.6 is 72% of 230
We are looking to find P(X>60 students)
X is normally distributed with mean 50 and standard deviation 5
We need to find the z-score of 60 students
![Z= \frac{60-50}{5}=2](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B60-50%7D%7B5%7D%3D2%20)
To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228
The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
Well, let's say we need "g" of grape punch, now how much juice is in the "g" amount? well, just 10% of it is juice or (10/100) * g, 0.1g.
let's say we need "b" of berry punch, now, is 20% juice, how much juice in "b"? well, (20/100) * b, or 0.2b.
whatever "g" and "b" are, they must add up to 12 cups, of 18%, how much juice in 12cups? well (18/100) * 12, or 2.16
![\bf \begin{array}{lccclll} &amount&concentration& \begin{array}{llll} concentrated\\ amount \end{array}\\ &-----&-----&-----\\ \textit{grape punch}&g&0.10&0.10g\\ \textit{berry punch}&b&0.20&0.20b\\ -----&-----&-----&-----\\ mixture&12&0.18&2.16 \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blccclll%7D%0A%26amount%26concentration%26%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Aconcentrated%5C%5C%0Aamount%0A%5Cend%7Barray%7D%5C%5C%0A%26-----%26-----%26-----%5C%5C%0A%5Ctextit%7Bgrape%20punch%7D%26g%260.10%260.10g%5C%5C%0A%5Ctextit%7Bberry%20punch%7D%26b%260.20%260.20b%5C%5C%0A-----%26-----%26-----%26-----%5C%5C%0Amixture%2612%260.18%262.16%0A%5Cend%7Barray%7D)
![\bf \begin{cases} g+b=12\implies \boxed{b}=12-g\\ 0.1g+0.2b=2.16\\ ----------\\ 0.1g+0.2\left( \boxed{12-g} \right)=2.16 \end{cases} \\\\\\ 0.1g+2.4-0.2g=2.16\implies 2.4-2.16=0.2g-0.1g \\\\\\ 0.24=0.1g\implies \cfrac{0.24}{0.1}=g\implies \boxed{2.4=g}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0Ag%2Bb%3D12%5Cimplies%20%5Cboxed%7Bb%7D%3D12-g%5C%5C%0A0.1g%2B0.2b%3D2.16%5C%5C%0A----------%5C%5C%0A0.1g%2B0.2%5Cleft%28%20%5Cboxed%7B12-g%7D%20%5Cright%29%3D2.16%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A0.1g%2B2.4-0.2g%3D2.16%5Cimplies%202.4-2.16%3D0.2g-0.1g%0A%5C%5C%5C%5C%5C%5C%0A0.24%3D0.1g%5Cimplies%20%5Ccfrac%7B0.24%7D%7B0.1%7D%3Dg%5Cimplies%20%5Cboxed%7B2.4%3Dg%7D)
and of berry will then be 12 - g
The constant of proportionality is 3/8
Answer:
1 1/6 multiply 1/2 x 3/3 and 2/3x 2/2 then you 3/6 + 4/6 to get your answer