Answer:
hello : P(A and B) = 3/20
Step-by-step explanation:
events A and B are independent:
P(A and B) = P(A)×P(B)
P(A and B) = (1/4)×(3/5)
P(A and B) =3/20
continu ....
P(B/A)= P(A and B) / P(A)
Answer:
Step-by-step explanation:
Not entirely sure about the first one, but I'll try the others:
2- log base 8 (8x) = log base 8 (8) + log base 8 (x) = 1 + log base 8 (x)
3 - log base 3 (5^x) = x log base 3 (5)
4 - log base 2 (5/x) = log base 2 (5) - log base 2 (x) = In 5 - In x
5 - log base 2 (2^x) = x log base 2 (2) = x · 1 = x
Answer:
Step-by-step explanation:
You didn't list anything to choose from.
2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.
2/5 * 4/9
8/45
Answer:
The simplified expression to the given expression is 
Therefore 
Step-by-step explanation:
Given fractional expression is 
To simplify the given expression as below :
![=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5B%282%29%5E4%28x%5E3%29%5E4%28y%5E4%29%5E4%5D%7D%7B%282%29%5E3%28x%5E2%29%5E3%28y%5E6%29%5E3%7D)
( using the property 
)
![=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5B%282%29%5E4%28x%5E%7B12%7D%29%28y%5E%7B16%7D%29%5D%7D%7B%282%29%5E3%28x%5E6%29%28y%5E%7B18%7D%29%7D)
^{-3}(x^{-6})(y^{-18})](https://tex.z-dn.net/?f=%3D2%5B%282%29%5E4%28x%5E%7B12%7D%29%28y%5E%7B16%7D%29%5D%282%29%5E%7B-3%7D%28x%5E%7B-6%7D%29%28y%5E%7B-18%7D%29)
( ( using the property 
)
![=2[2^{4-3}x^{12-6}y^{16-18}]](https://tex.z-dn.net/?f=%3D2%5B2%5E%7B4-3%7Dx%5E%7B12-6%7Dy%5E%7B16-18%7D%5D)
( using the property 
)
![=2[2^1x^6y^{-2}]](https://tex.z-dn.net/?f=%3D2%5B2%5E1x%5E6y%5E%7B-2%7D%5D)
( using the property )
Therefore the simplified expression is
Therefore
Answer: C
Step-by-step explanation:
