Answer:
0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Dinosaur
Event B: Plush.
The probability that a toy Raymond picks out of a box is a dinosaur is 75%.
This means that ![P(A) = 0.75](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.75)
The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%.
This means that ![P(A \cap B) = 0.3](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.3)
What is the probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur?
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.75} = 0.4](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20%5Cfrac%7B0.3%7D%7B0.75%7D%20%3D%200.4)
0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
Answer:
yoyoyoyoyoyo
Step-by-step explanation:
First the airline owes 6750 in compensation next 25 dollars per 250 passengers = 6250 total deductions =13000 plus 5000 base cost = 18000 now 300$ times 250 passengers = 75000 deduct 18000 from 75000 = 57000 dollars profit
Answer:
392 students
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
![y=a(1+r)^x](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5Ex)
where
y is the number of students at the school
x is the number of years
r is the rate of change
a is the initial value
we have
![a=322\ students\\r=4\%=4/100=0.04](https://tex.z-dn.net/?f=a%3D322%5C%20students%5C%5Cr%3D4%5C%25%3D4%2F100%3D0.04)
substitute
![y=322(1+0.04)^x](https://tex.z-dn.net/?f=y%3D322%281%2B0.04%29%5Ex)
![y=322(1.04)^x](https://tex.z-dn.net/?f=y%3D322%281.04%29%5Ex)
For x=5 years
substitute
![y=322(1.04)^5=392\ students](https://tex.z-dn.net/?f=y%3D322%281.04%29%5E5%3D392%5C%20students)