(a^2)^4 = a^8, and (b^3)^4 = b^12. Thus, the quotient is
a^8
--------
b^12
Answer:
A. 
Step-by-step explanation:
<h3>Step 1: Definition</h3>
The parent function of 
is translated to the left when 
is positive in the transformation 
.
If is negative, the graph translates towards the left with the distance equal to the value of .
<h3>Step 2: Implementation</h3>
Here the graph moved 3 units towards the right. This means that is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
Answer:
Step-by-step explanation:
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Answer:
6π
Step-by-step explanation:
The period indicates after which time the sine wave repeats.
You divide 2π by the factor in front of your function variable. This is 1/3 for your function.
So 2π/(1/3) = 6π
