The value of a data point that is -2 standard deviations from the mean
so, 40.6 to 65.4.
<h3>What is the empirical rule?</h3>
According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:
= 53- 6.2- 6.2
= 40.6
The value of a data point that is -2 standard deviations from the mean
53 + 6.2 + 6.2
= 65.4
Learn more about the empirical rule here:
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6.7 10 squared positive 8
Answer:
Since A={a,b}, then 
. Remember that the Cartesian Product of two sets A, B is defined by
. Then
Answer:
(-3, 0)
Step-by-step explanation:
Let's solve this system using the elimination by addition/subtraction method. Begin by writing the two equations one above the other:
5x +2y =-15
2x - 2y =-6
Notice that the y terms cancel each other out:
5x +2y =-15
2x - 2y =-6
------------------
7x = -21
Dividing both sides by 7 results in x = -3.
Subbing -3 for x in either of the given equations leads to finding y:
5(-3) + 2y = -15, or -15 + 2y = -15. This results in 2y = 0, or y = 0.
The solution is (-3, 0).
