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.
Number of possibilities for 1 roll = 6.
Probability of rolling a 4 = 1/6. .
Odds are 5 to 1 against it. 1 to 5 in favor.
Answer:
n =-19
Step-by-step explanation:
3* (n+7) = -36
Distribute
3n+21 = -36
Subtract 21 from each side
3n+21-21 = -36-21
3n = -57
Divide by 3
3n/3 = -57/3
n =-19
Answer:
A line is an infinite two dimensional figure