Answer:
8.6
Step-by-step explanation:
This uses the Pythagorean Theorem
a^2 + b^2 = c^2
a = 5
b = 7
c = ?
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt(c^2) = sqrt(74)
c = 8.60 which when rounded = 8.6
Answer:
$ 1.96
Step-by-step explanation:
Number of spots with outcome of $1 = 9
Number of spots with outcome of $2 = 18
Number of spots with outcome of $10 = 1
Total number of spots = 28
Probability that ball will land on $1 = 
Probability that ball will land on $2 = 
Probability that ball will land on $10 = 
The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.
i.e. for this case:
Expected Value will be:

This means, on average the player should expect to win $ 1.96
The correct answers are the second option (Option B) and the last option (Option E).
The explanation is shown below:
1. By definition, a geometric sequence is a sequence of numbers each number, after the first one, is the result of multiply the previous number by a common ratio.
2. The Option B has the following common ratio:
(2/3) / (4/9)=1.5
1/(2/3)=1.5
r=1.5
3. The Option E has the following common ratio:
-15/3=-5
75/-15=-5
r=-5
The answer I believe is a