Answer:
2 * sqrt(13)
Step-by-step explanation:
Use pythagoras' theorem.
4^2 + 6^2 = x^2 = 16 + 36 = 52 = 4*13
x = sqrt(4*13)=2 * sqrt(13)
Both the negative and positive counterparts of a number have the same absolute value, or distance from 0.
The two numbers are 16 and -16.
They both have the same absolute value, 16.
The question did not spesify the stating value for n.
Assuming, n = 0 is the starting value.
1st term is when n = 0:
f(0) = (0)^2 - 5 = 0 - 5 = -5
2nd term: f(1) = (1)^2 - 5 = 1 - 5 = -4
3rd term: f(2) = (2)^2 - 5 = 4 - 5 = -1
4th term: f(3) = (3)^2 - 5 = 9 - 5 = 4
Therefore, the first 4 terms are: -5, -4, -1, 4.
Answer:
The mean for the number of matches that they win in the tournament is 20.
Step-by-step explanation:
For each match, there are only two possible outcomes. Either they win, or they do not. The probability of winning a match is independent from other matches. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The Stomping Elephants volleyball team plays 30 matches in a week-long tournament.
This means that 
On average, they win 4 out of every 6 matches.
This means that 
What is the mean for the number of matches that they win in the tournament?

The mean for the number of matches that they win in the tournament is 20.