To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four r. triangles arranged equally around point O such that point O is the midpoint of BF and DH. Use deductive reasoning to show that ZA ZE P Type here to search esc DII prt sc home end F6 #3 %24 8&. 3. 4. 7. 6. Q W E Y tab os lock A D V
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.
![**Designing Efficient Windmills**
To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point \( O \) such that point \( O \) is the midpoint of \( BF \) and \( DH \).
[Image of Windmill Design]
The windmill design is comprised of four colored right triangles (blue, yellow, purple, and green) which are arranged symmetrically around a central point \( O \). The colors of the triangles help in visually differentiating them. They are labeled as follows:
- \( \triangle AOB \) (purple)
- \( \triangle BOC \) (blue)
- \( \triangle COD \) (yellow)
- \( \triangle DOE \) (green)
The base of each triangle converges at point \( O \), reinforcing that point \( O \) is the midpoint of \( BF \) and \( DH \).
**Task:**
Use deductive reasoning to show that \( \angle A \cong \angle E \).
The illustration also includes a windmill base colored in black, which is not part of the geometric configuration relevant to the triangles but serves as a visual support structure in the design.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa242a625-2826-4f00-ad8f-039422d3d327%2F8b37b5ec-b60c-43f8-8f1f-7432a6ea08af%2Fvq41dcj_processed.jpeg&w=3840&q=75)
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