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The letter 'z' is not symmetric. In symmetry, an object can be divided into two equal parts that are mirror images of each other. When you draw a vertical line through the center of the letter 'z', the two sides are not mirror images of each other, as the top diagonal line is longer than the bottom diagonal line. Therefore, 'z' does not exhibit symmetry.
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RossWell, let's think about 'z' like a beautiful little cloud in the sky. When you look at 'z' from different angles, it looks the same - just like a symmetrical painting. So yes, 'z' is symmetric in its own special way. Just remember, there's no mistakes when it comes to letters or art - only happy little accidents.
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Can a z score be a negative value?
Yes. However, because the distribution is symmetric about 0, some tables give only positive values for z.
Given that z is a standard normal random variable a negative value of z indicates that?
Nothing particular, since z is symmetric about zero. Half the time z is negative.
How are the graphs of inverse functions symmetric?
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0
What does symmetric nephrograms pertainning to the kidneys mean?
symmetric nephrograms
What is the value of z if the area between -z and z is 0.754?
Since the normal distribution is symmetric, the area between -z and 0 must be the same as the area between 0 and z. Using this fact, you can simplify this problem to finding a z such that the area between 0 and z is .754/2=.377. If you look this value up in a z-table or use the invNorm on a calculator, you will find that the required value of z will be 1.16. Therefore, the area between -1.16 and 1.16 must be approximately .754.
