Answer:
The value of P(AUB) = 0.72
Step-by-step explanation:
As
We can determine the value of P(A∩B) Using the formula
P(AUB) = P(A) + P(B) - P(A∩B)
= 0.6 + 0.3 - 0.18
= 0.72
Therefore, the value of P(AUB) = 0.72
Answer should be the second one, B
A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Distribute.
9(times)3 + 8x(times)9
27+72x is an equivalent expression
This looks one hundred percent correct to me and to check your answer you can plug in the answer you find to the first equation
17=37+4f
17=37+4(-5)
17=37-20
17=17
great job!!
