Answer:
The Cohen's D is given by this formula:

Where
represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:

And the difference of the two samples is
, and replacing we got:

And since the value for D obtained is 0.5 we can consider this as a medium effect.
Step-by-step explanation:
Previous concepts
Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.
Solution to the problem
The Cohen's D is given by this formula:

Where
represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:

And the difference of the two samples is
, and replacing we got:

And since the value for D obtained is 0.5 we can consider this as a medium effect.
Answer:
Step-by-step explanation:
fu**k my di*k
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Answer:
Trapezoid Area = [(sum of bases) / (2)] * height)
Trapezoid Area = (10) / (2) * height
15 = 5 * height
height = 3 feet
Step-by-step explanation: