Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Step-by-step explanation:
We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.
This is the combination question.
The total combinations will be: 2^7=128
Now, finding number of ways we can get exactly 4 tiles:
We will use the formula:

in our given question, n= 7, k= 4
Putting values:

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: 
Keywords: Probability
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Answer:
-2a³+9a²+45a+6ab²+18b²
Step-by-step explanation:
(a+3)(-2a²+15a+6b²)
Distribute the a:
-2a³+15a²+6ab²
Then distribute the 3:
-6a²+45a+18b²
Now add both of the results together:
-2a³+15a²+6ab²-6a²+45a+18b²
Combine like terms:
-2a³+9a²+45a+6ab²+18b²
1 solution is available when variable equals a constant.
Answer: Option B.
<u>Explanation:</u>
You will be able to determine if an equation has one solution (which is when one variable equals one number), or if it has no solution (the two sides of the equation are not equal to each other) or infinite solutions (the two sides of the equation are identical).
The ordered pair that is the solution of both equations is the solution of the system. A system of two linear equations can have one solution, an infinite number of solutions, or no solution. If a consistent system has exactly one solution, it is independent.
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520