Answer: 11·10·9 = 990 ways
Step-by-step explanation: first can be chosen 11 different way, second 10 different way and third 9 different way
Answer:
37.97
Step-by-step explanation:
y=-0.00001(37000)+0.97
=-37+0.97
=37.97
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243
Answer:
![P(S/I)=0.375](https://tex.z-dn.net/?f=P%28S%2FI%29%3D0.375)
Step-by-step explanation:
Let's start defining the conditional probability of an event :
Given two events A and B :
![P(A/B)=\frac{P(A,B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%2FB%29%3D%5Cfrac%7BP%28A%2CB%29%7D%7BP%28B%29%7D)
with P(B) > 0
Where P(A/B) is the probability of event A given that event B occur
P(A,B) is the probability of the event in which A and B occur both at the same time.
Let's write the events for our exercise
S : ''A random student speaks Spanish''
I : ''A random student speaks Italian''
![P(S)=0.23\\P(I)=0.08\\P(S,I)=0.03](https://tex.z-dn.net/?f=P%28S%29%3D0.23%5C%5CP%28I%29%3D0.08%5C%5CP%28S%2CI%29%3D0.03)
Applying the conditional equation we obtain :
![P(S/I)=\frac{P(S,I)}{P(I)}=\frac{0.03}{0.08}=0.375](https://tex.z-dn.net/?f=P%28S%2FI%29%3D%5Cfrac%7BP%28S%2CI%29%7D%7BP%28I%29%7D%3D%5Cfrac%7B0.03%7D%7B0.08%7D%3D0.375)
Then, 0.375 is the probability that we are looking for