Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Number of hours of pop music = 3
Number of hours of classical music = 2
According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.
Rate of increment = 5% = 0.05
Let the number of months be 'x'.
So, our required function becomes,

Hence, Option 'd' is correct.
Answer:
a.
chance you win.
b. The expected value of the game is -$2.08.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
You roll 2 die and if you toss 2 sixes
For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:

a. What is the chance you win?
chance you win.
b. What is the expected value of the game?
1/36 probability of winning 100.
35/36 probability of losing 5. So

The expected value of the game is -$2.08.
Answer:
The set A ∩ B contain {6, 12}
Step-by-step explanation:
Given : set A = {3, 6, 9, 12} and set B = {2, 4, 6, 8, 10, 12}
We have to find A ∩ B
Consider the given sets
Set A = {3, 6, 9, 12}
and set B = {2, 4, 6, 8, 10, 12}
Since, A ∩ B includes those elements that are both in set A and set B.
Thus, the common elements of A and B are 6 and 12
So , the set A ∩ B contain {6, 12}
Answer:
a) y=1/3 sqrt(x+1)
b) 2/3
c) 224
Step-by-step explanation:
a) y varies directly to sqrt(x+1)
means there is some constant k such that y=ksqrt(x+1)
y=1 when x=8 (plug this in and find k) 1=ksqrt(8+1)
1=ksqrt(9)
1=k(3)
1/3=k
So the equation is y=1/3 * sqrt(x+1)
a) y=1/3 *sqrt(x+1)
b) what is y when x=3 if you have y=1/3 * sqrt(x+1)
Plug in 3 for x
y=1/3 *sqrt(3+1)
y=1/3 *sqrt(4)
y=1/3 *2
y=2/3
b) 2/3
c) what is x when y=5
Plug in 5 for y
5=1/3 *sqrt(x+1)
multiply both sides by 3
15=sqrt(x+1)
square both sides
225=x+1
subtract 1 on both sides
224=x
c) 224
Answer:
Division property of equality
Step-by-step explanation:
to find n you would have to divide 16 by 8 which gives you 2