Consider the following real variables from everyday life: a. Income measured in $USA. b. Speed measured in meters per second. c. A TV show measured in how much you are interested watching it. d. A meal measured in how much you like to eat it. e. A traffic light measured in what colour is on. For the above cases, suggest a fuzzy variable corresponding to these real variables
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Consider the following real variables from everyday life: a. Income measured in $USA. b. Speed measured in meters per second. c. A TV show measured in how much you are interested watching it. d. A meal measured in how much you like to eat it. e. A traffic light measured in what colour is on. For the above cases, suggest a fuzzy variable corresponding to these real variables
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- Let p = “Sophie has been arrested” and q = “Bubba’s never been arrested.” Write the symbolic form of You’re saying that Sophie’s been arrested? That is totally not true. (A) ~q (B) p (C) ~(~p) (D) ~pSuppose that billingAmount is a double variable, which denotes the amount you need to pay to the department store. If you pay the full amount, you get $10.00 or 1% of the billingAmount, whichever is smaller, as a credit on your next bill; If you pay at least 50% of the billingAmount, the penalty is 5% of the balance; If you pay at least 20% of the billingAmount and less than 50% of the billingAmount, the penalty is 10% of the balance; otherwise the penalty is 20% of the balance. Design an algorithm that prompts the user to enter the billing amount and the desired payment. The algorithm then calculates and outputs the credit or the remaining balance. If the amount is not paid in full, the algorithm should also output the penalty amount.Suppose a person can buy a chocolate bar from the vending machine for $1 each. Inside every chocolate bar is a coupon. A person can redeem 3 coupons for one chocolate bar from the machine. This means that once a person has started buying chocolate bars from the machine, he/she always has some coupons. A person would like to know how many chocolate bars can be bought, if a person starts with N dollars and always redeem coupons, if he/she has enough for an additional chocolate bar. For example: With 3 dollars a person could buy 4 chocolate bars after purchasing 3 bars giving him/her 3 coupons and then redeeming the 3 coupons for one bar. This would leave him/her with one extra coupon. Thus, will have 4 chocolate bars and still have one coupon leftover. For 11 dollars, a person can have 16 chocolate bars and still have one coupon leftover. For 12 dollars, a person can have 17 chocolate bars and have two coupons leftover. Write a complete Python program that prompts a buyer to input…
- Write a program in C language to simulate tossing a “fair” coin. Allow the user to enter the number of tosses.Print the number of tosses that yield heads and the number of tosses that yield tails.What should be the percentage distribution of heads and tails? (Use the function rand_int)Let's begin with a lesson in roulette. Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1–36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. We can make many different types of bets, but two of the most common are to bet on a single number (1–36) or to bet on a color (either red or black). These will be the two bets we will consider in this project. After all players place their bets on the table, the wheel is spun and the ball tossed onto the wheel. The pocket in which the ball lands on the wheel determines the winning number and color. The ball can land on only one color and number at a time. We begin by placing a bet on a number between 1 and 36. This bet pays 36 to 1 in most casinos, which means we will be paid $36 for each $1 we bet on the winning number. If we lose, we simply lose whatever amount of money we…Let's begin with a lesson in roulette. Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1–36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. We can make many different types of bets, but two of the most common are to bet on a single number (1–36) or to bet on a color (either red or black). These will be the two bets we will consider in this project. After all players place their bets on the table, the wheel is spun and the ball tossed onto the wheel. The pocket in which the ball lands on the wheel determines the winning number and color. The ball can land on only one color and number at a time. We begin by placing a bet on a number between 1 and 36. This bet pays 36 to 1 in most casinos, which means we will be paid $36 for each $1 we bet on the winning number. If we lose, we simply lose whatever amount of money we…
- Assume a very good NBA team has a 70% chance of winning in each game it plays. Use simulation to answer these questions, where each iteration of the simulation generates the outcomes of all 82 games. Use simulation with 10,000 iterations to answer the questions. For part a, write your numerical answer with no decimal or commas (e.g., if your computed answer is 101,021.128, write your answer as 101021). For part b, write your probability answer to two decimal places with a leading 0 (e.g., write a probability of 90.02% as 0.90). a. During an 82-game season what is the average length of the team's longest winning streak? The average length of the winning streak is . b. What is the probability that the team has a winning streak of at least 16 games? The probability isIn the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product. Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as: C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature. If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer? Our input is 77. C = (5/9)*(77 - 32) C = (5/9)*(45) C = 25 The equivalent temperature is 25 degrees Celsius. To complete the Discussion activity, please do the following: Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above). Arm length is a function of height. The circumference of a circle is a function of diameter. The height of…When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…
- A proposition Q follows from a proposition P, if Q is never false when P is true. Suppose we want to check this in a particular case. Which of the following is correct? Select one: a. We need to check that whenever P is false, Q is also false. b. We need to check that whenever Q is false, P is also false. c. We need to check that whenever Q is true, P is also true. d. We need to check that Q is true when P is true, and that Q is false when P is false.Using Java create a computer program that will perform any or a combination of numerical methods y. For example, a program that do regression analysis, outputs a linear model and determine the correlation.Let p, q, and r be the propositions p: You started a new video game this week. q: You finished all its quests.r: You didn’t win the platinum trophy.Express each of these propositions as an English sentence.¬p → ¬q(p ∧ q) → (¬r)((¬p) → (¬q)) ∨ (q → (¬r))(p ∧ q) ∨ (¬q ∧ r)