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2 answers:
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Answer:
x=πn, n∈Z
Step-by-step explanation:
if sin²2x=1-cos²2x, then
1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;
Answer:
The correct option is;
Mike's measurement are more precise and more accurate
Step-by-step explanation:
The given information are;
The mass of the measured bottle = 16-ounce
The record of the measurements made by Mike are;
16.4 oz
15.2 oz
15.8 oz
The record of the measurements made by Teegan are;
16.34 oz
16.59 oz
15.13 oz
From the two measurements, we have;
The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;
For Mike, the precision is given as follows
16.4 - 15.2 = 1.2
16.4 - 15.8 = 0.6
15.8 - 15.2 = 0.6
Total difference = 1.2 + 0.6 + 0.6 = 2.4
For Teegan , the precision is given as follows
16.59 - 16.34 = 0.25
16.59 - 15.13 = 1.46
16.34 - 15.13 = 1.21
Total difference = 0.25 + 1.46 + 1.21 = 2.92
Therefore, Mike's measurements are more precise than Teegan's measurements
The accuracy of the measurement is the amount of closeness the measurements are to a given value
In the question, the given value is 16-ounces of the volume of the bottle
Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;
For Mike;
For Teegan, we have;
Therefore, Mike's measurement is more accurate than Teegan's measurement.
Which gives;
Mike's measurement are more precise and more accurate.