Find the Z-score such that the area under the standard normal curve to the right is 0.32. Click the icon to view a table of areas under the normal curve. The approximate Z-score that corresponds to a right tail area of 0.32 is (Round to two decimal places as needed.)
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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![**Title: Determining Z-Scores for a Given Area Under the Normal Curve**
**Task:**
Find the Z-score such that the area under the standard normal curve to the right is 0.32.
**Instructions:**
1. Click the icon to view a table of areas under the normal curve.
**Solution:**
The approximate Z-score that corresponds to a right tail area of 0.32 is [ ].
*(Round to two decimal places as needed.)*
**Explanation:**
When given an area or probability and asked to find the corresponding Z-score, you are essentially looking for the point on the standard normal distribution where this area is to the right of the Z-score. To find the Z-score that corresponds to a specific right tail probability, consult a standard normal distribution table or use statistical software.
In this problem, you need to find the Z-score where 32% of the area under the curve lies to its right. The left tail area would be 1 - 0.32 = 0.68. Use this information to locate the Z-score in the table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26e9d1e4-e751-46db-8f1e-f1957aec9903%2F3b5dc13b-a300-4173-a27b-236e4970154e%2F9t550pq_processed.jpeg&w=3840&q=75)
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