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.
The z-score tells you
the value is 0.02 standard deviations above the mean.
For #1 the perimeter if the rectangle would be like 4 vertical and 2 horizontal and the area is 4 x 2= 8
<span>for #2 the first a is 24 the second one for a is 27 the first one for b is 24 and the second one is 35</span>
<span>Given Equation: 2a − 5d = 30
Solution:
2a - 5d = 30
-5d = 30 -2a
d = ( 30 - 2a )/ (-5)
= -6 + (2a/5)
= (2a/5) - 6
I hope this helps</span>
.7 is the answer to your question