By the binomial theorem,

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient

Answer:
square root, 2,12/5,2.47
Step-by-step explanation:
Answer:
Pie= 3.14
Step-by-step explanation:
The enclosing boundary of a curved geometric figure, especially a circle.The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle). Simply divide the circumference by π and you will have the length of the diameter. The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle!
Answer:

Step-by-step explanation:
Let <em>A</em> be the event of getting an odd number.
<em>P(A)</em> be the probability of getting an odd number.
Total odd numbers here are 6 i.e. 
Here, total numbers in the game are 12 i.e
.
Formula for probability of an <em>event E</em> can be observed as:


Let <em>B</em> be the event of getting 11.
<em>P(B)</em> be the probability of getting 11.
Total number of possible cases is 1.

is the probability that we get 11 and an odd number.
Possible number of cases = 1

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

Hence, P(B/A) = 
The expression would be 32+3x where x represents the cost of each shirt. If the shirts were $9 each max would have spent $59