What's 2433857385+37474858
2 answers:
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<u>Given</u>:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
<u>Value of t:</u>
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
Thus, the value of t is 28.
<u>Value of x:</u>
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
Substituting t = 28, we get;
Thus, the value of x is 112.
The '68-95-99.7 ' rule says,
-About 68% of values fall within one standard deviation of the mean.
-About 95% of the values fall within two standard deviations from the mean.
-Almost all of the values — about 99.7% — fall within three standard deviations from the mean.
Here
The length falls within one standard deviation of the mean.
Therefore, the probability
The required probability is