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Roman55 [17]
3 years ago
13

Identify a central angle in the figure. A) ∠BCD B) ∠BFC C) ∠FAE D) ∠FCD

English
2 answers:
stira [4]3 years ago
8 0

Answer: B) BFC

Explanation:

Ahat [919]3 years ago
5 0

Answer: You can know which is the Central angle by identifying that angle whose vertex is located at the center of the circle and formed when two radii meet (These radii also intersect the circumference of the circle in two points).

See the picture attached

Explanation:

Since you did not attached the figure, I will give you a general explanation about how to identify that Central angle in a circle:

First, it is important to know the definition of "Central angle".

The Central angle of a circle is that angle formed when two radii meet. These radii intersect at the center of the circle and also intersect circumference of the circle in two points.

 The above means that the vertex of the Central angle is located at the center of the circle.

In the picture attached you can identify that the Central angle of the circle is the following:

\angle AOB

By definition, it is known that:

Central\ angle = Intercepted\ Arc

In this case:

m\angle AOB =mAB

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If a variable X is normally distributed with a standard deviation of 8, what is the mean value of X, if 0.3413 of the values of
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Answer:

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Explanation:

The z score is a score used in statistics to determine how many standard deviations the raw score is above or below the mean.it is given by the formula:

z=\frac{x-\mu}{\sigma}\\ Where\ \mu \ is\ the\ mean, x\ is\ the\ raw\ score\ and\ \sigma\ is\ the\ standard\ deviation

Given that:  

σ = 8, P(z > 58) = 0.3413, x > 58/ Hence:

P(z < 58) = 1 - P(z > 58) =  1 - 0.3413 = 0.6587

P(z < 58) = 0.6587

From the normal distribution table, P(z < 58) = 0.6587 corresponds with a z score of 0.41

z=\frac{x-\mu}{\sigma}\\ \\0.41=\frac{58-\mu}{8}\\\\Cross-multiplying:\\\\58-\mu=3.28\\\\\mu=58-3,28\\\\\mu=54.72

μ ≅ 55

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