34 + 3 ⋅ 5 = ____. Easy free points!! first correct answer get brainly
2 answers:
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Answer:
120.51·cos(377t+4.80°)
Step-by-step explanation:
We can use the identity ...
sin(x) = cos(x -90°)
to transform the second waveform to ...
i₂(t) = 150cos(377t +50°)
Then ...
i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)
A suitable calculator finds the difference easily (see attached). It is approximately ...
i(t) = 120.51cos(377t+4.80°)
_____
The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.
We can say that the standard deviation tells us <u>the </u><u>dispersion </u><u>of the scores</u>, making <u>option D</u> the correct choice.
<h3>What is the standard deviation?</h3>A standard deviation (or σ) is a measure of how widely distributed the data is about the mean (μ). A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out. A standard deviation around 0 suggests that data points are close to the mean, whereas a high or low standard deviation indicates that data points are above or below the mean, respectively.
We use the following formula to compute the standard deviation:
In this formula, σ is the standard deviation, is the data point in the set we are solving for, μ is the mean, and N is the total number of data points.
In the question, we are asked to tell what standard deviations tell us from the given options.
From the above discussion, we can say that the standard deviation <u>tells us the </u><u>dispersion </u><u>of the scores</u>, making <u>option D</u> the correct choice.
Learn more about the standard deviation at
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