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uglyturtle15
31.07.2019 •
Mathematics
Jeremy and arnold were talking about the lesson that they had covered recently in math class. mrs. hudson, their math teacher, always encouraged the boy to "see the math for themselves," meaning she wanted the boys simply not to accept what they've been taught, but to really prove the ideas to themselves. they covered several topics recently that they were struggling with how to prove the concepts were true. cut apart and use the diagrams of the three triangles attached to the last page to establish relationships and the boys better understand the concepts. part i: angle sum relationships arrange the three congruent triangles so that angles 1 and 3 are adjacent to one another, and angle 2 is adjacent to angles 1 and 3
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Ответ:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682