Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft2004-05-02-04-00_fil
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Answer:
1)
Using the condition given:
So then if we want to create an equation we need to do this:
With K a constant. For this case the period of a pendulumn is given by this general expression:
Where L is the length in m and g the gravity .
2)
If we square both sides of the equation we got:
And solving for L we got:
Replacing we got:
3)
Step-by-step explanation:
Part 1
For this case we know the following info: The length, l cm, of a simple pendulum is directly proportional to the square of its period (time taken to complete one oscillation), T seconds.
Using the condition given:
So then if we want to create an equation we need to do this:
With K a constant. For this case the period of a pendulumn is given by this general expression:
Where L is the length in m and g the gravity .
Part 2
For this case using the function in part a we got:
If we square both sides of the equation we got:
And solving for L we got:
Replacing we got:
Part 3
For this case using the function in part a we got:
Replacing we got:
The confidence interval would be (0.122, 0.278).
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100:
We first find our z-score. We want a 95% confidence interval:
0.95/2 = 0.475
Looking this up in the z-table, (http://www.statisticshowto.com/tables/z-table/) we see the z-score is 1.96.
The formula we will use is:
In this problem, p = 20/100 = 0.2, and n=100: