Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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**Question:**
The area of the shaded region is \[____\] (Round to four decimal places as needed.)
**Diagram Explanation:**
The diagram shows a normal distribution curve of IQ scores with the shaded region focusing on the scores between 75 and 110. The bell curve is centered at a mean IQ score of 100, with each standard deviation interval marked. The shaded area under the curve represents the proportion of the population within this IQ range.
![IQ Distribution Graph]
In the diagram, the x-axis represents the IQ scores ranging from 75 to 110, while the y-axis represents the frequency or probability density. The graph visually aids in understanding the distribution of IQ scores and the area you're required to calculate.
**Answer Input:**
Please enter your answer in the answer box and then click 'Check Answer'.
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**Note:** Provided hyperlinks in the hint links must be included to enable the user to refer to necessary statistical tables or additional resources for finding the area under the normal curve.
**Assistive Tools:**
- Equation Editor
- Calculator Links
- Additional Resources Links for deeper understanding
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**Final Submission Box:**
[Enter your Answer]
[Check Answer]
[Clear All]
[Final Check]
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Education websites often provide detailed assistance, accessible resources, and interactive components to help in the learning process and ensure thorough understanding and independent problem-solving capabilities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15c363dd-bee0-4851-8a57-e357b273329c%2Fe0158897-0111-49fd-97fe-38c5ebd8d512%2Fskeo4xb_processed.jpeg&w=3840&q=75)

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