Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

We want P(X = 12). So


P(X = 12) = 0.0064.
Answer:

Step-by-step explanation:
Let
be the volumes of the smaller and bigger cylinder.
The formula for the volume of a cylinder is given by :

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

So, the volume of the smaller cylinder is equal to
.
Answer:
Ray WV and Ray WX.
Step-by-step explanation:
A ray is a line that has a fixed starting point, but no end points. It extends infinitely. You usually list points based on the way it is facing.
Hope this helps!
Answer:
the answer is a, unchecked growth
They are equal. They're equal because if you simplify 500/600, it becomes 5/6.