Answer:
Step-by-step explanation:
You haven't provided functions to choose from!
Since in this case we are
only using the variance of the sample and not the variance of the real population,
therefore we use the t statistic. The formula for the confidence interval is:
<span>CI = X ± t * s / sqrt(n) ---> 1</span>
Where,
X = the sample mean = 84
t = the t score which is
obtained in the standard distribution tables at 95% confidence level
s = sample variance = 12.25
n = number of samples = 49
From the table at 95%
confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t
is around:
t = 1.68
Therefore substituting the
given values to equation 1:
CI = 84 ± 1.68 * 12.25 /
sqrt(49)
CI = 84 ± 2.94
CI = 81.06, 86.94
<span>Therefore at 95% confidence
level, the scores is from 81 to 87.</span>
Answer:
A regional soccer tournament has 64 participating teams.
In the first round of the tournament, 32 games are played.
In each successive round, the number of games played decreases by 1/2.
Part A:
We know;



So, we get;
The rule for the number of games played in the nth round is given by:

where 
Part B:
As in each successive round the rounds are decreasing by 1/2 we have.
round 1 = 32
round 2 = 16
round 3 = 8
round 4 = 4
round 5 = 2
round 6 = 1
So, the total number of games played in the regional soccer tournament are: 
Step-by-step explanation:
There is a 3.8 difference between all the numbers. so the numbers are 2, 5.8, 9.6, 13.4, 17.2, 21
(2x+3x) (3y+(-4y))
(5x) (-1)
5x-1