Which of the following describes GE ? Check all that apply. 本 E (3y + 4)o- -(5у—10)° F A. angle bisector B. median nernendicular bisector altitude
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Question 9
![### Educational Content for Geometry
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**Topic: Identifying Line Segments in Triangles**
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**Question: Which of the following describes \( \overline{GE} \)? Check all that apply.**
**Diagram Description:**
The image presents a triangle \( \triangle DEF \) with a point \( G \) on side \( \overline{DF} \). Line segment \( \overline{GE} \) is drawn from point \( G \) to vertex \( E \). The angles at point \( E \) are given as \( (3y + 4)^\circ \) and \( (5y - 10)^\circ \). Both sides \( \overline{DE} \) and \( \overline{EF} \) are marked with single lines indicating that they are equal in length.
**Options:**
- [ ] A. angle bisector
- [ ] B. median
- [ ] C. perpendicular bisector
- [ ] D. altitude
**Graphical Explanation:**
In the diagram:
- \( \overline{DE} \) and \( \overline{EF} \) are sides of the triangle which are equal in length as indicated by the identical tick marks.
- The line segment \( \overline{GE} \) extends from vertex \( E \) to point \( G \), which is situated on \( \overline{DF} \).
- The measure of angle \( \angle DEG \) is \( (3y + 4)^\circ \) and the measure of angle \( \angle GEF \) is \( (5y - 10)^\circ \).
Based on the given information and the diagram, determine which descriptions apply to segment \( \overline{GE} \).
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**Analysis and Answer Choices:**
- **Angle Bisector**: An angle bisector divides an angle into two equal parts. Given \( \overline{GE} \) divides \( \angle DEF \) into \( (3y + 4)^\circ \) and \( (5y - 10)^\circ \), it may be an angle bisector if these angles are equal when solved.
- **Median**: A median connects a vertex to the midpoint of the opposite side. If \( G \) is the midpoint of \( \overline{DF} \), \( \overline{GE} \) is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc14456c8-c349-46c2-a794-2f6de4965e41%2F2d521719-efc9-4abd-a62e-2a989227e7d8%2Fakawhbh_processed.png&w=3840&q=75)
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