The number of six samples that could belong to the same population is equivalent to six.
Option A is the correct answer.
<h3>What is the standard deviation?</h3>
The standard deviation is the indicator to determine the variation between the set of amounts as given in the statistical information.
The population is referred to as the entire information being prescribed in data relating to any concept. If the number of samples in a population is 10, then the samples in the same population will also be 10. This shows the number of samples is always equal to the samples in the same population.
Therefore, the six samples belong to the same population comprising of six samples having varied standard deviations.
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The energy in the capacitor at the instant after the switch is closed, based on the potential across the capacitor is 31 mJ
<h3>What is the energy amount in the capacitor?</h3>
Because total energy is constant, this can be found by the formula:
= Initial energy in capacitor - Energy in inductor
The initial energy in the capacitor is:
= 0.5 x 4 x 10⁻⁶ x 200²
= 0.08J
The energy in the inductor is:
= 0.5 x 0.2 x 0.7²
= 0.049
The energy in the capacitor at that instant is:
= 0.08 - 0.049
=0.031 j
= 31 J
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