Answer: 398.03
Step-by-step explanation:
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Explanation:</h2><h2>
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In this case, we hace the following exponential function:
Where:
The base because 1 raised to any power leads the result of 1. That is:
If so, then we won't get an exponential function, but a constant function:
Using the normal distribution, it is found that the lengths for which a bolt will be destroyed are given by:
A. A bolt will be destroyed if the length is less than 11.8 cm or greater than 12.2 cm.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The bounds within 4 standard deviations of the mean are , hence:
X - 12 = -4 x 0.05
X = 11.8
X - 12 = 4 x 0.05
X = 12.2
Hence:
A. A bolt will be destroyed if the length is less than 11.8 cm or greater than 12.2 cm.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
Step-by-step explanation:
1. The line y=12-4x has the slope -4, then perpendicular line will have slope
The equation of this perpendicular line is
2. The vertices of the triangle are at points:
A: x=0, y=0.
B: x=0, y=12.
C:
3. The height of the triangle ABC is x-coordinate of point C, so the base of the triangle is the length of the segment AB, 12 cm.
4. The area of the triangle ABC is