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°)
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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.
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
<u>Step-by-step explanation:</u>
Percent stands for per hundred.
In order to convert a percent to the decimal, the number should be divided by 100 and remove the percentage sign.
Example – 75%
= 75/100
= 0.75
<u>To convert decimal to mixed fraction:</u>
1. Divide the given decimal number by the place of the decimal and remove the point from the numerator.
Example – 5.25
= 525/100
2. Simplify the fraction if possible.
Example = 525/100 = 21/4
3. Divide the numerator by the denominator.
On solving we get, 5 as the quotient and 1 as the remainder.
To convert into a mixed fraction = the remainder becomes the numerator and denominator remains the same
Mixed fraction becomes = 5 1/4
Answer:
The correct answer is D) areas, probability, and relative frequencies
Step-by-step explanation:
This is because each of these terms refers to an amount of space surrounding the mean on the normal distribution curve. Each of them let's us know how likely a spot is to have a value within it.
The z-score would not fit this as it identifies the value and how far away a single spot on the graph would be.
Answer:
25
Step-by-step explanation:
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