www.Get800TestP D biun 95. In the figure above, the two triangles are similar, with vertices A, B, and C corresponding to vertices D, E, and F, respectively. If tan A = 2.36, what is the value of tan D ? %3D 96. The complex number expression i? + it + i5 + i8 + i° can be rewritten in the form a + bi, where a and b are real numbers, and i = V-1. What is the value of a + b? LEVEL 4: HEART OF ALGEBRA 97. A high school has a $1000 budget to buy calculators. Each scientific calculator will cost the school $12.97 and each graphing calculator will cost the school $73.89. Which of the following inequalities represents the possible number of scientific calculators S and graphing calculators G that the school can purchase while staying within their specified budget? A) 12.97S + 73.89G > 1000 B) 12.97S + 73.89G < 1000 12.97 73.89 > 1000 G elosio AE alpos ni bongsg al (. 12.97 73.89 D) < 1000 98. In the xy-plane, which of the following does NOT contain any points that are part of the solution set to 5x + 2y > 10 ? A) The y-axis B) The region where x and y are both positive C) The region where x and y are both negative D) The region where x is negative and y is positive T = 25 + 3c 99. The equation above is used to model the number of chirps, c, made by a certain species of cricket in one minute, and the temperature, T, in degrees Fahrenheit. According to this model, what is the meaning of the number 3 in the equation? A) If a cricket chirps three more times in one minute, then the temperature, in Fahrenheit, will be one degree higher. B) If a cricket chirps three fewer times in one minute, then the temperature, in Fahrenheit, will be one degree higher. C) If a cricket chirps one more time in one minute, then the temperature, in Fahrenheit, will be three degrees higher. D) If a cricket chirps one fewer time in one minute, then the temperature, in Fahrenheit, will be three degrees higher. 358
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.
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