Assume now that there are 12 people initially on the yacht with 6 women and 6 men, and that exploration teams consist of six people. How many exploration teams have more women than men?
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Assume now that there are 12 people initially on the yacht with 6 women and 6 men, and that exploration teams consist of six people. How many exploration teams have more women than men?
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- A person is looking to invest $100,000 in hopes of getting the highest return possible. There are 4 investment options available: bonds, mutual funds, stocks, or a saving account yielding interest. The bonds give a 3% annual return, mutual funds give an 8% return, stocks give a 10% return, and the savings account gives a 2% return (all investments subject to risk). To control for risk, several constraints are put into place: 1. No more than 15% of the total investment can be put into stocks. 2. At least 40% must be invested in mutual funds and/or the savings account. 3. The amount put in the savings account must be no more than the amount put into the other investments combined. 4. The ratio of money invested in bonds and mutual fund to the amount in stocks and the savings account should be at least 1.2 to 1. 5. All $100,000 must be invested and no shorting is allowed (It means there will be no “borrowed” money”) Formulate a linear programming model for this problem to get the highest…Problem You have a fence post located at the point (x,y) where a goat is tethered by a rope. You also have a house, which is a rectangle with diagonally opposite corners at the points bottom-left: (x1,y1) and top-right: (x2,y2). You want to pick a length of rope that guarantees the goat cannot reach the house. Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope. Recall that the distance formula is: (x2−x1)2+(y2−y1)2 The input consists of a single line containing six space-separated integer values: x, y, x1, y1, x2, and y2. You are guaranteed that x1<x2 and y1<y2, and that (x,y) is strictly outside the axis-aligned rectangle with corners at (x1,y1) and (x2,y2). Return the minimum distance from the goat’s post to the house as a floating-point value from main(). Learning Objectives Be able to create a program with a lesser template. Be able to calculate the min/max of integers. Be able to write a mathematical…Question-2: A pyramids are discovered, each has a triangular base with equal sides. An n meters high pyramid is constructed by forming n layers of triangles using Im cubical stones. Then layers are stacked on top of each other. The first layer is the triangle with n meters base, on top, n-1 meters base, until the top level which has only 1 stone. You are asked to calculate the number of stones needed to build a pyramid with the height n. WAIT! We just discovered that some pyramids have a secret room inside. This room is also of the same shape and structure as the pyramid with m layers of stones removed. In order for the room to be secret, mLet's revisit our first problem, where we want to set up a series of chess matches so we can rank six players in our class. As we did before, we will assume that everyone keeps their chess rating a private secret; however, when two players have a chess match, the person with the higher rating wins 100% of the time. But this time, we are only interested in identifying the BEST of these six players and the WORST of these six players. (We don't care about the relative ordering or ranking of the middle four players.) Your goal is to devise a comparison-based algorithm that is guaranteed to identify the player with the highest rating and the player with the lowest rating. Because you are very strong at Algorithm Design, you know how to do this in the most efficient way. Here are five statements. A. There exists an algorithm to solve this problem using 6 matches, but there does not exist an algorithm using only 5 matches. B. There exists an algorithm to solve this problem using 7 matches,…Hi please answer the following follow up questions as well, posted them as another question. Question 4 For the 9-tile soring problem, assume that you start from this initial state 7 2 4 5 6 8 3 1 The Goal State is: 1 2 3 4 5 6 7 8 The cost of moving any tile is 1. Let the heuristic function h(n) = number of misplaced tiles. For the shown configuration, there are four options for the next move: Move 5 to the right Move 6 to the left Move 2 down Move 3 up Each of these moves has a value f(n) = h(n) + g(n). If we choose to Move 5 to the right, then g(n) = 1. That is, it took us one step to reach this state from the initial state. h(n) = number of misplaced tiles. The misplaced tiles are {7,4,8,3,1}. So the number of misplaced tiles = h(n) = 5. If we choose to Move 6 to the left, g(n) is still = 1, but h(n) will change because the number of misplaced tiles is different. A* works by computing f(n) = h(n) + g(n) for each of these possible moves. Then it…ASAPCorrect answer will be upvoted else downvoted. Computer science. There are two potential results of a game: the game might bring about a tie, then, at that point, the two groups get 1 point; one group may dominate in a match, then, at that point, the triumphant group gets 3 focuses and the losing group gets 0 focuses. The score of a group is the number of focuses it acquired during all games that it played. You are keen on a theoretical circumstance when all groups get a similar score toward the finish of the title. A basic illustration of that circumstance is the point at which all games bring about ties, however you need to limit the number of ties too. Your assignment is to depict a circumstance (pick the aftereffect of each game) so that all groups get a similar score, and the number of ties is the base conceivable. Input The main line contains one integer t (1≤t≤100) — the number of experiments. Then, at that point, the experiments follow. Each…You and your friends decided to hold a “Secret Santa” gift exchange, where each person buys a gift for someone else. To see how this whole thing works, let’s consider the following example. Suppose there are 7 people A, B, C, D, E, F, and G. We denote x → y to mean “x gives a gift to y.” If the gift exchange starts with person A, then they give a gift to E. Then E gives a gift to B. And it is entirely possible that B gives a gift to A; in such a case we have completed a “cycle.” In case a cycle occurs, the gift exchange resumes with another person that hasn’t given their gift yet. If the gift exchange resumes with person D, then they give a gift to G. Then G gives a gift to F. Then F gives a gift to C. Then finally C gives a gift to D, which completes another cycle. Since all of the people have given their gifts, the giftexchange is done, otherwise the gift exchange resumes again with another person. All in all, there are two cycles that occurred during the gift exchange: A → E → B → A…A group of firends Anna (A), Bjorn (B), Candice (C), David (D) and Ellen (E) want to enter a basketball contest that caters for teams of different sizes. A team with n players is called an n-team. A player can be in several different teams, including teams of the same size. There is a restriction however: players in a 2-team cannot polay together in any larger team. For example, if friends A,B,C,D form the teams AB, BCD, ACD, then they cannot also form the teams BD or ABC, among others. The five friends want to enter 8 teams including at least one 2-team and at least one 3-team and no team of any other size. Find three ways of doing this with a different number of 3-teams in each case.Question 3: Consider a single elimination tournament of 16 football teams, laid out as in the diagram below. Once a team loses it is out of the tournament. Every team must play until it is eliminated. The starting positions for each team are fixed. A matchup (X,Y) represents a game between teams X and Y. A round is the set of all the matchups at a given stage of the tournament (the matchups above the round title in the diagram). Thus round 3 in the diagram below is the set {(D, E), (I,O)} of matchups. An outcome is the union of all the matchups along with the winner. (Essentially two outcomes are different if the winners of the games produce a different letter in at least one place in the diagram below.) A A B C D E F G H D E G D E Round 1 Round 2 Round 3 D WINNER Round 4 O L N -J -K Round 3 Round 2 Round 11 a) How many unique outcomes are there in this tournament? b) How many unique outcomes are there where A wins the entire tournament? c) How many unique outcomes are there where D…Correct answer will be upvoted else downvoted. Computer science. the proprietor needs to eliminate a few (perhaps zero) sunflowers to arrive at the accompanying two objectives: At the point when you are on a vacant cell, you can stroll to some other void cell. All in all, those unfilled cells are associated. There is actually one basic way between any two void cells. All in all, there is no cycle among the vacant cells. You can stroll from an unfilled cell to another in the event that they share a typical edge. Could you kindly give the proprietor an answer that meets every one of her prerequisites? Note that you are not permitted to establish sunflowers. You don't have to limit the number of sunflowers you eliminate. It tends to be shown that the appropriate response consistently exists. Input The input comprises of different experiments. The main line contains a solitary integer t (1≤t≤104) — the number of experiments. The portrayal of the experiments follows.…proof or dis-proof 5. Suppose you are playing game of shooting balloon. You expect to shoot n balloons in the board, assuming you ar sharpshooter, 100% hit. There are two scenarios, you need find the appropriate Big-Oh notation for the following question. Note that one unit of work is shooting one balloon. "For every four balloons you can shoot, three new balloons are inserted in the board. So, if there were 20 balloons, after you shoot the first four, there are 19 on the board. After you shoot the next four, there are 18 on the board. How many balloons do you shoot before the board is empty?" Note: Find your answer as a function of n. Don't just justify on the number 20 since it is just an example.SEE MORE QUESTIONS