Answer:
A= 30
Step-by-step explanation:
This requires several steps.
First, you need to find the 2 other missing angles.
One can be found easily by substracting 130 from 180
so 180-130 = 50
The other angle is the same as 8x+4
Now set up your equation
180=3x-6 + 8x+4 +50
180 = 3x + 8x -6 + 4 +50
180+6-4-50 = 11x
132 = 11x
132/11 = x
12 = x
Now plug in 12 for x in your angle A
A=3x-6
A=3 * 12 - 6
A=36 - 6
A= 30
From the first equation,
x+5 = 3(y+5)
x = 3y + 15 - 5
Now substitue x in the second equation with (3y +15 - 5).
x-5 = 7(y-5)
(3y+15-5) - 5 = 7(y-5)
3y +5 = 7y - 35
-4y = - 40
y = 10
Since y is 10, and x is (3y +15 - 5),
x = 30 + 15 - 5 = 40
Answer:

And we can find the individual probabilities like this:
And adding we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want to find this probability:

And we can find the individual probabilities like this:
And adding we got:
