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- Task 3 (A)Let's say you have a weird relationship with a friend, where each week each of you can choose to either be a bad friend or a good friend. Then, each of you will get some amount of happiness according to the following table: You're a bad friend You're a good friend Your friend is a bad friend You get 5 happiness You get 10 happiness Your friend is a good friend You get +10 happiness You get +5 happiness 1. How would you choose whether to be a good or bad friend each week to maximize your happiness? What sort of strategy might you choose? Does it depend on what your friend chooses? We'd highly recommend looking at evolution of trust for some ideas on possible strategies. Note that you can change what you choose for different weeks.Please help me with this assignment, I'm not sure what to do from 3. onwards Kiara and her friends are playing The Duck Gameat a local fair. In this game, the player selects oneof 50 identical plastic ducks from a pool. Thebottom of each duck is each numbered 1, 2, or 3. Ifyou draw a duck with a 1, you win a small prize, aduck with a 2 will win you a medium prize, and aduck with a 3 will win a large prize. According tothe game operator, there are 25 ducks with anumber 1 on the bottom, 20 ducks with the number2, and 5 ducks with the number 3.Use the information given to explore some of the mathematical concepts you have practiced sofar by answering the questions below.1. Suppose that Kiara plays The Duck Game once. What is the probability that she draws a duckwith the number 3 on the bottom? Explain the process you used to solve this question.2. Kiara draws a duck with a 1 on her first try and decides to play the game again. This time herfriends Denny and Rayanna play the game with…
- Packages arrive at the stockroom and are delivered on carts to offices and laboratories by student employees. The carts and packages are various sizes and shapes. The students are paid according to the carts used. There are 6 carts and the pay for their use is Product C1: $1 Product C2: $3 Product C3: $2 Product C4: $4 Product C5: $1 Product C6: $2 On a particular day, 9 packages arrive, and they can be delivered using the 6 carts as follows: C1 can be used for packages P1, P3, P4 and p7. C2 can be used for packages P2, P5, and P6, and p8. C3 can be used for packages P1, P2, P5, P6, and P7. C4 can be used for packages P3, P6, and P7 and 9. C5 can be used for packages P2, P4 and p8. C6 can be used for packages P1, P2 and P3 The stockroom manager wants the packages delivered at minimum cost. Using minimization techniques described in this unit, present a systematic procedure for finding the minimum cost solution. Use Petrik MethodA student is working full-time (at least 40 hours a week) and is also starting their first semester of college. This student wants to maintain a high GPA and graduate as soon as possible. How many credits hours should the student take? Group of answer choices No more than 16-credit hours No more than 13-credit hours No more than 10-credit hours No more than 7-credit hoursA bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?
- Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. (a) In how many ways can she arrange all 6 tables? Show your work.(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables shewishes to have set up? Show your work. Answer:You are decorating a chocolate cupcake to give to your friend, and you can choose from any of the following decorations: icing, sprinkles, gummy bears, sour keys, and peanuts. You can choose any number of decorations that you can, but you know that your friend will also be happy if there are no decorations on the cupcake. How many ways can you prepare this cupcake?Chris (they/them) is planning a meal for a party. The meal will include an appetizer, a main course, and dessert. They have three choices for an appetizer (Artichoke, Bruschetta, or Caviar), two choices for a main course (Drumsticks or Eggplant), and three choices for dessert (Fritter, Gelato, or Hot chocolate). How many different meals are possible if Chris must serve at least one of Artichoke, Eggplant, and Hot chocolate? Explain your answer.
- Three workers at a domino's pack the take out pizza orders.ramu packs 40 of the orders but fails to include a chilli flakes sachet 4 %of the time. Raju packs 30 %of the orders but omits the chilli flakes sachet 2 %of the time. Sam packs 30 %of the orders but fails to include chilli flakes sachet 3% of the time. You received the pizza delivery and there was no chilli flakes sachets. What is the probability that Sam made the packing for the orderIn part (a) what is the largest number of caramels that Brenda ca you play your strategy guaranteeing the peppermint patty? 6. Along the coast there are 3 lighthouses, whose lights can be seen blinking at night by sailors near the shore. The first light shines for 3 seconds then is off for 3 seconds and repeats. The second light shines for 4 seconds then is off for 4 seconds and repeats. The third light shines for 5 seconds then is off for 5 seconds and repeats. All three lights have just come on together. (a) When is the first time the three lights will all be off at the same time? (b) When is the next time all three lights will come on at the same moment? (c) For a sailor off-shore, how many "light-on" blinks will she see between the two times all three come on together? Note: Parts (a) and (b) of this problem are found in the homework of school children ages 7-11 in the U.K. In May, 2018 the Daily Mail reported on this problem: "Ridicu- lous maths problem intended for PRIMARY…
