Answer:
(x - 3)² + (y - 2)² = 2
Step-by-step explanation:
Every negative symbol in parentheses give you the OPPOSITE terms of what they really are, so you will be moving 3 blocks <em>east</em><em> </em>up 2 blocks <em>north</em><em>.</em><em> </em>Then, we have to know the size of the radius on each side all around from the centre of the circle, which in this case is 2, not 4. Although R² is part of the formula, you do not square it because 2 is the square of 1,414213562:
2 ≈ 1,414213562²
If it was 4, 4 would be considered the square of 2.
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Answer: C) There is a probability that the outcome is within 1 standard deviation of the mean.
Step-by-step explanation:
The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. According to the rule,
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations
Therefore, the correct answer is
C) There is a probability that the outcome is within 1 standard deviation of the mean.
The second partial derivatives of 
exist everywhere in its domain. By Schwarz's theorem, the mixed second-order partials derivatives are equal:
Then
We don't actually need to compute 
and 
to know that they are both free of 
. So when we differentiate for a second time with respect to , the whole thing cancels out.
Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
We can substitute a definition of one of the variables by rearranging the first equation.
We set the first equation equal to one of our two variables.
Now we substitute this equality into our second equation
Answer:
b
Step-by-step explanation:
