Find the two Z-scores that separate the middle 73.72% on the Standard Normal Curve.
1 answer:
Answer:
+1.12 and -1.12
Step-by-step explanation:
Let the two z scores be .
Since the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:
From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.
The two z scores are +1.12 and -1.12 = ± 1.12
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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
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