For Ax+By=C, we have y=-3x. We want both the y and x variable on the same side, and that leads us to either subtract y from both sides or add 3x to both sides. You can do either, but I personally prefer the latter, so we have 3x+y=0. We have A=3 (since that is the coefficient for x) and B=1 (since 1*y=y). Lastly, C=0
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Answer:
e. 0.977
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Which of the following is closest to the proportion of daily transactions greater than 350?
This is 1 subtracted by the pvalue of Z when X = 350. So



has a pvalue of 0.023
1 - 0.023 = 0.977
So the correct answer is:
e. 0.977
Answer:
(12, 3)
Step-by-step explanation:
To answer this, we find the midpoint of the line segment (that is, of the diameter) connecting (6, -4) and (18, 10):
The formula for the midpoint gives us x-midpoint = (6+18)/2, or x-midpoint = 12.
The formula for the midpoint gives us y-midpoint = (-4+10)/2, or x-midpoint = (6)/2 = 3.
Thus, the center of this circle is at (x-midpoint), y-midpoint), or (12, 3).
The third answer choice is the correct one.