We have events:

- a <span>student stays in the school's dormitory

- </span>a <span>student stays with family

- </span><span>a student receives As
and </span> probabilities:

We want to calculate the probability <span>that the student lives in the school dormitory given he </span><span>receives As so it will be </span>

. From the <span>Bayes' theorem we know that:

The only thing we don't know is

, but we can calculate it using the l</span><span>aw of total probability. There will be:

So our probability:

Answer D.
</span>
Answer:
Step-by-step explanation:
26.6/53.2 = 0.5 = 50%
26.6 is 50% of 53.2
12 = 48/4
48/4 - 33/4 = 15/4 = 3 3/4
Answer:
7.0 m/s
Step-by-step explanation:
We can solve this using the 2 kinematic equations and you can use either:

So let's use the first one.
Vi = initial velocity
Vf = final velocity
a = acceleration due to gravity (constant 9.8m/s²)
t = time
The marble is dropped so this means that it is in free fall. The initial velocity is always 0m/s.
We are given then the following:
d = 2.5m
t = 0.71s
Vi = 0 m/s
a = 9.8m/s²
So we plug in the values we know and solve:
