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:
Michael: 24
Junior: 8
Step-by-step explanation:
8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.
Answer:
2pi?
Step-by-step explanation:
Pi is an irrational number so I guess double of pi would be irrational too.
2pi would be something like 6.28318531...
Answer:
x=-7
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
40 + x+57 + 90 =180
Combine like terms
187 +x = 180
Subtract 187 from each side
187-187 +x = 180-187
x = -7