Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So

Probability:

Expected value
probability of earning 40,000.
probability of losing 1. So

The expected value of this game is -$0.26.
Answer: 7
Step-by-step explanation:
Because to find the median to find the numbers in a triangle.
Answer:2 1/2 divided by 5/8 = ?
Step-by-step explanation:
Answer with explanation:
The given mathematical expression to solve : 
The prime factorization of each term can be written as follows :-


We can see that the greatest common factor of both the terms = 
So we rewrite the given expression as :-

By using distributive property :-
, we have

Answer:
9cm
Step-by-step explanation:
making perpendicular "A" from center "O"
we get,OA=4cm(half of 8cm)
Now,
In triangle POA,
h^2=p^2+b^2
5^2=4^2+b^2
25=16+b^2
9=b^2
b=3cm
PA=3cm
hence,length of chords=3+3=9cm