Scientists find the same type of index fossil in two different locations on Earth. What can they conclude from this discovery?
2 answers:
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The spring constant is
Explanation:
For an object in a simple harmonic motion, the acceleration of the object is related to the displacement by
where
a is the acceleration
is the angular frequency
x is the displacement
The angular frequency is defined as
where
k is the spring constant
m is the mass
Substituting the second equation into the first one, we get
In this problem we have
m = 1 g = 0.001 kg
And at t=0,
x = 43.75 cm
a = -1.754 cm/s
Therefore, we can re-arrange the equation above to find the spring constant:
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Answer
given,
SAT is 500 with a standard deviation of 100.
a sample of 400 students whose family income was between $70,000 and $80,000 had an average verbal SAT score of 511.
sample mean =
=
= 5
95% confidence level is achieved within +/- 1.960 standard deviations.
1.960 standard deviations x 5 is equal to +/- 9.8
confidence interval = 511 - 9.8 --- 511 + 9.8
= 501.2-----520.8