First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:
We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:
Therefore, Clara's house is located at (-2,0)
Starting with 5^0 (since in PEMDAS, we have parenthesis, exponents, multiplication, division, addition, and subtraction, and exponents come before multiplication), we know that anything to the power of 0 equals 1. Therefore, 5^0=1. Next, for 2^1, anything to the power of 1 means it's that number, so 2^1=2. Note that for 2^3 (and for most exponents), however, it's 2 multiplied by itself 3 times, or 2*2*2=8. Since 5^0=1 and 2^1=2, 5^0*2^1=1*2=2
Feel free to ask with further questions!
P ( A and B ) = 0.051.
P ( B ) = 0.32
According to Bayes` rule:
P ( A\B ) = P ( A and B ) /P ( B ) = 0.051/ 0.32 = 0.159375 ≈ 0.159
Answer: B ) 0.159
