Answer:
Last option is the correct answer.
Step-by-step explanation:
Total number of movies = 9+7+4=20
The total number of combinations of choosing 3 movies from total 20 is represented by 20C3. Then there are 9 action movies and we're choosing 3, the number of combinations will be 9C3,
Now, the probability of choosing all action movies will be:

As we know that probability of something which is not happening is given as : 1 - probability of something happening, so the probability of not choosing all action movies is given by: 
Hence, option D or last option is the right one.
Answer:
81/16 = 5 1/16
Step-by-step explanation:
-4(square root of x) -3 = -12
Add 3 to both sides
-4(square root of x) = -12 +3 = -9
Divide both sides by -4
(square root of x) = -9/-4
-/- equals +
(square root of x) = 9/4
Square both sides to cancel the square root
x = (9/4)^2 = 81/16 = 5 1/16
The value of the product expression is –6p^3 + 8p^2 – 10p
<h3>How to simplify the product?</h3>
The product expression is given as:
2p(–3p2 + 4p – 5)
Rewrite properly as:
2p(–3p^2 + 4p – 5)
Remove the bracket
2p * –3p^2 + 2p * 4p – 2p * 5
Evaluate the products
–6p^3 + 8p^2 – 10p
Hence, the value of the product expression is –6p^3 + 8p^2 – 10p
Read more about expression at
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log (m + n) = log m+ log n and proved it m =n/n-1
Given;
If log (m + n) = log m+ log n
To show that the m =n/n-1
Now, According to the question:
We know that,
Log (m + n) = log m + log n
Log (m + n ) = log (mn). [log a + log b = log ab ]
Cancelling the log on both sides.
then,
m + n = mn
=> n = mn - m
=> n = m (n - 1)
=> m = n / n - 1
Hence Proved
log (m + n) = log m+ log n and proved it m =n/n-1
What is Logarithm?
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2.
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(2*3)^2
do the parentheses because of using PEMDAS
P= Parentheses
E= Exponents
M= Multiplication
D= Division
A= Addition
S=Subtraction
(2*3)=6
6^2
6*6 ( write out 6 two times because of the exponent)
Answer: 6*6=36