Cece draws a graph representing her family's car trip to the beach. She wants to show her father that their gas mileage in miles per gallon was the same for the entire trip. Cece chose three points on the line and drew vertical line segments from the points to 300 (9, 279) 250 200 150 (5, 155) 100 the x-axis. How can she use these segments to prove that the gas mileage was constant for the trip? 50 A11,31)- 24 10 The vertical line segments create three similar right triangles. Because the triangles are similar, the quotient of the length of the vertical side to the length of the horizontal side is the same for each triangle. These quotients are slopes between (0, 0) and the points Cece chose. Because Cece could have chosen any Gasoline Used (gal) points on the line to make the similar triangles, the slope is constant for the whole line. So, the gas mileage is constant for the whole trip. For the graph in the Example, find the slope between the origin and each of the points Cece chose. Vocabulary slope for any two points rise a line, the run What was the gas mileage for the trip in the Example? change in y Distance (mi) S 8
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.
What was the gas millage for the trip in the example?
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