Given:
Rate of reduction : 85%
Remaining volume: 120 ml.
This means that 120 ml is equivalent to 15% of the original volume.
100% - 85% = 15%
120 ml ÷ 15% = 800 ml.
There was 800 ml of water before it was reduced.
800 ml * 85% = 680 ml ⇒ volume reduced
800 ml - 680 ml = 120 ml ⇒ volume left after reduction.
Answer: False for apex
Step-by-step explanation: 1. because it is
2. for the junior monitor that deleted my answer, back off.
Answer:
57 and 57 or 66 and 48
Step-by-step explanation:
180-66=114
114/2=57
Answer:
B. 4x^2
Step-by-step explanation:
Volume of the cube
![= 4 \times x \times x \\ \\ = 4 {x}^{2}](https://tex.z-dn.net/?f=%20%3D%204%20%5Ctimes%20x%20%5Ctimes%20x%20%5C%5C%20%20%5C%5C%20%20%3D%204%20%7Bx%7D%5E%7B2%7D%20)
Answer:
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D0.0473)
Step-by-step explanation:
Let's call p the probability that a passenger shows up.
Then we know that:
![p = 0.85](https://tex.z-dn.net/?f=p%20%3D%200.85)
Then we took a sample of n = 6 passengers.
We can calculate the probability that less than 4 are presented using the binomial formula:
![P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D%2Ap%5Ex%2A%281-p%29%5E%7Bn-x%7D)
Where x is the number of passengers that show up, n is the number of selected passengers, p is the probability that a passenger shows up.
Then we look for:
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D%20P%280%29%20%2BP%281%29%20%2BP%282%29%20%2BP%283%29%3D1-P%286%29-P%285%29-P%284%29)
![P(6) = \frac{6!}{6!(6-6)!}*0.85^6*(1-0.85)^{6-6}=0.37715](https://tex.z-dn.net/?f=P%286%29%20%3D%20%5Cfrac%7B6%21%7D%7B6%21%286-6%29%21%7D%2A0.85%5E6%2A%281-0.85%29%5E%7B6-6%7D%3D0.37715)
![P(5) = \frac{6!}{5!(6-5)!}*0.85^5*(1-0.85)^{6-5}=0.39933](https://tex.z-dn.net/?f=P%285%29%20%3D%20%5Cfrac%7B6%21%7D%7B5%21%286-5%29%21%7D%2A0.85%5E5%2A%281-0.85%29%5E%7B6-5%7D%3D0.39933)
![P(4) = \frac{6!}{4!(6-4)!}*0.85^4*(1-0.85)^{6-4}=0.17618](https://tex.z-dn.net/?f=P%284%29%20%3D%20%5Cfrac%7B6%21%7D%7B4%21%286-4%29%21%7D%2A0.85%5E4%2A%281-0.85%29%5E%7B6-4%7D%3D0.17618)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D1-0.377-0.399-0.176)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D0.0473)