It’s would be B because the formula or reflection is y-axis is (-x,y) and x-axis (x,-y)
Answer:
![P(M4\ n\ V) = 2.083\%](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%202.083%5C%25)
Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:
![n(S) = 20](https://tex.z-dn.net/?f=n%28S%29%20%3D%2020)
The outcomes of multiples of 4 is:
![M4= \{4,8,12,16,20\}](https://tex.z-dn.net/?f=M4%3D%20%5C%7B4%2C8%2C12%2C16%2C20%5C%7D)
![n(M4) = 5](https://tex.z-dn.net/?f=n%28M4%29%20%3D%205)
So, the probability of multiples of 4 is:
![Pr(M4) = \frac{5}{20}](https://tex.z-dn.net/?f=Pr%28M4%29%20%3D%20%5Cfrac%7B5%7D%7B20%7D)
![Pr(M4) = \frac{1}{4}](https://tex.z-dn.net/?f=Pr%28M4%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
The sample size of PENNSYLVANIA is:
![n(S) = 12](https://tex.z-dn.net/?f=n%28S%29%20%3D%2012)
The outcome of V is:
![n(V) = 1](https://tex.z-dn.net/?f=n%28V%29%20%3D%201)
So, the probability of V is:
![P(V) = \frac{1}{12}](https://tex.z-dn.net/?f=P%28V%29%20%3D%20%5Cfrac%7B1%7D%7B12%7D)
So, the required probability is: P(Multiple of 4 and V)
![P(M4\ n\ V) = P(M4) * P(V)](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%20P%28M4%29%20%2A%20P%28V%29)
![P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A%20%5Cfrac%7B1%7D%7B12%7D)
![P(M4\ n\ V) = \frac{1}{48}](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%20%5Cfrac%7B1%7D%7B48%7D)
![P(M4\ n\ V) = 0.02083](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%200.02083)
Express as percentage
![P(M4\ n\ V) = 0.02083 * 100\%](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%200.02083%20%2A%20100%5C%25)
![P(M4\ n\ V) = 2.083\%](https://tex.z-dn.net/?f=P%28M4%5C%20n%5C%20V%29%20%3D%202.083%5C%25)
The answer is -4.5
To solve these types of problems it's best to work backwards.
-2 - 16 = -18
4 x (n) = -18
n = -18/4
n = -4.5