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:
A
Step-by-step explanation:
A line plot is used for showing data that changes over time
Answer: Supplementary angle
Why:
Lunch
Step-by-step explanation:
she eats 900 cals at lunch, but at dinner she has 800 and breakfast she has 600. 900 is the most cals so lunch is the meal with the most calories.
Answer:
To find the value of y, you would put your expressions (12y+3, and 51 equal to each other, because they are both the same length)
12y+3=51
12y=48 (51-3=48)
y=4 (divide both sides by 12, 48/12=4)
Then to find x you want to find the missing degree of the triangle
we already know that one degree is 63 and the other is 56,
A triangle equals 180 degrees
56+63=119
Then you want to subtract 119 from 180 to find out the missing degree
180-119=61
x=61 degrees
y=4 and x=61
Hope this helps ;)