The area of the shaded region is | (Round to four decimal places as needed.)
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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**Instructions:**
The area of the shaded region is [_____] (Round to four decimal places as needed.)
### Diagram Explanation:
The graph shown is a normal distribution curve illustrating IQ scores. The mean IQ score is marked at 100, and the standard deviation is 15. The shaded region to the left of the curve indicates a specific segment of the distribution. A vertical line is drawn down from the curve at 70, suggesting this might be the boundary of the shaded region. This area under the normal curve needs to be calculated.
### Additional Features:
An interactive answer box is provided for input. After entering the answer, you can select "Check Answer" to verify the response.
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This walkthrough helps in understanding how to calculate the area under a normal distribution curve using standard deviations, important for statistical analysis and educational purposes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4449b123-4e2e-4e89-ad48-1be0946a395d%2F046fa374-1429-46df-a95f-86a695663e26%2Fml3zb5j_processed.jpeg&w=3840&q=75)
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