Answer:
12,376.
Step-by-step explanation:
The order in which they are chosen does not matter so this is a combination NOT a permutation.
That is 17C11
= 17! / (11! 6!)
= (17*16*15*14*13*12) / (6*5*4*3*2*1)
= 12376.
Answer:

so at the long run we can conclude that the best option is :
A) win 0.20 cents per play
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
Let X the random variable who represent the ampunt of money win/loss at the game defined.
The probability of loss $3.00 for this game is 0.2 and the probability of win is 1-0.2=0.8 and you will recieve $1.00 if you win. The expected value is given by:

And for this case if we replace we got:

so at the long run we can conclude that the best option is :
A) win 0.20 cents per play
The area is Base * Height
Area = b * h
b =12 3/4 in
h = 2 1/2 in
Area = 12.75 * 2.5 = 31.875 or 31 7/8 square inches.
Answer:
105
Step-by-step explanation:
180 - 140 = 40
180 - 145 = 35
35+ 40 = 75
180 - 75 = 105
a = 5
Answer:
11.375
Step-by-step explanation: