First one is 5/3
Second one is: 5
Third one is: 15
The red marble is farthest from the target.
KH = 3(x + 2) + <span>3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27</span>
225. I think. However its not clear if total words typed are asked for Natasha or in General.
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>