1/(4a) & 5/(6a)
(3)(1/4a)=3/12a
(2)(5/6a)=10/12a
LCD=12a
Answer:
x=2
y=1
Step-by-step explanation:
-6x+12=0
take 12 to the other side &it becomes negated then equate
-6x=-12
the negatives cancel out each other and therefore the answer is positive
x=2
4y+5=9
take 5 over to the other side &it becomes negated
4y=9-5
4y=4
y=1
Answer:

Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.

And
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:




So

4 out of 32 or 4/32 are infested with beetles, you know because it shows what beetles look like and it shows 4 trees infected with beetles out of the possible 32 trees