Answer:
Step-by-step explanation:
the answer is x = 120 degrees
For the first flower she has a choice of 15. For the second 14 (15 minus the one that was already used). For the third 13, and so on.
Each of the first 15 can be match with any of the second 14. Any of the first pairs can be matched with ant of the third 13 and so on.
This gives us
Number of Selections = Choices for Flower 1 x Choices for Flower 2 x Choices for Flower 3 x Choices for Flower 4 x Choices for Flower 5



You could also calculate this as the permutation 
Answer:
There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Step-by-step explanation:
For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.
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:

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:
This is

In which







There is a 25.52% probability of observating 4 our fewer succesful recommendations.
Answer:
y=-1/6x-2
Step-by-step explanation:
Lets find the slope of the given line
6x-7=y,m=6
The slope of the perpendicular line would be=-1/6
Using the point-slope form y-y1=m(x-x1)
y--1=-1/6(x--6)
y+1=-1/6(x+6)
6y+6=-x-6
6y=-x-6-6
6y=-x-12
y=-1/6x-2