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 square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer: -21/4
Step-by-step explanation:
Answer:
x=56
Step-by-step explanation:
As ∠FAC and ∠EAD are vertical angles, the measure of their angles must be the same. This means that ∠
Now, we can use the fact that the line EAC would have a measure of 180 degrees.
Due to this, we can add up all of the angle on one side of that line to find x.
Answer:
Standard form:
x + 3/
4
= 0
Factorization:
1/
4
(4x + 3) = 0
Solutions:
x = −3/
4
= −0.75
Step-by-step explanation:
