Answer:
0.25
Step-by-step explanation:
We are given that Rob created the Venn Diagram shown below which gives us,
The probability of teenagers who like to eat hot dogs = P(HD) = 0.3
The probability of teenagers who like to eat hamburger = P(HB) 0.4
The probability of teenagers who like to eat both = P( HD ∩ HB ) =0.1
The probability of teenagers who like to eat none = 0.2
It is required to find the probability that a teenager eats hot dogs when it is given that he/she eats hamburger i.e. P( HD | HB ).
Now, we know that the probability that an event B occurs given that event A has already occurred is given by,
![P(B|A) = \frac{P(A \bigcap B)}{P(B)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Cbigcap%20B%29%7D%7BP%28B%29%7D)
So, ![P(HD|HB) = \frac{P(HD \bigcap HB)}{P(HB)}](https://tex.z-dn.net/?f=P%28HD%7CHB%29%20%3D%20%5Cfrac%7BP%28HD%20%5Cbigcap%20HB%29%7D%7BP%28HB%29%7D)
i.e. ![P(HD|HB) = \frac{0.1}{0.4}](https://tex.z-dn.net/?f=P%28HD%7CHB%29%20%3D%20%5Cfrac%7B0.1%7D%7B0.4%7D)
i.e. ![P(HD|HB) = 0.25](https://tex.z-dn.net/?f=P%28HD%7CHB%29%20%3D%200.25)
Hence, the probability that a teenager eats hot dogs when it is given that he/she eats hamburger is 0.25.
Answer:
28
Step-by-step explanation:
Multiply 35 by .8
You take the total number of minutes he wants to exercise divided by how much he exercises each day to find how many days it will take
576 / 48 = 12
It will Marvin 12 days to exercise 576 minutes if he exercises 48 minutes every day
Answer:
104/1
Step-by-step explanation:
k12 2022
Answer:
i dont understand russian
Step-by-step explanation: