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- In a cooking competition called Heaven's Kitchen, two teams compete against each other to serve a restaurant full of customers. The competitors cook dishes and send them to an executive chef, where it is either approved and sent to the customer, or is deemed unacceptable and sent back to the kitchen. The competition has run for the past 19 years. During the 9th annual Heaven's Kitchen competition, the Ruby team cooked a total of 124 dishes, of which 50 were sent back to the kitchen by the executive chef. In the same period, the competing Sapphire team cooked a total of 154 dishes and had 56 return. Construct a confidence interval to estimate the difference in the proportion of dishes sent back to the Ruby team and the proportion of dishes sent back to the Sapphire team. Use a confidence level of 93%. Round each answer to 4 decimal places. Do not round from one part to the next when performing the calculations, though. Find the confidence interval. <p1−p2<Traditionally, the game of Rock, Paper, Scissors is played with two people. Each of the two people, on the count of 3, reveals their hand in the shape of a rock, a piece of paper, or a pair of scissors as best they can (usually with a closed fist, a flat hand, or their index and middle fingers outstretched to form the V of an open pair of scissors). As the rules go, rock smashes scissors, paper covers rock, and scissors cuts paper. The game can be extended to an arbitrarily large number of, say, nn people, where nn is greater than or equal to 2. If when all nn people reveal their play and only 1 or all 3 options appear, that round is deemed indecisiveindecisive and they just play again. If when all nn people reveal their play precisely two of the three options appear, that round is decisivedecisive, and those with the winning play continue while those with the losing play are eliminated. Play continues until only one person remains. Assume the game begins with nn players, each of whom…A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the body, hind legs and tail of horse. It is very similar to another magical creature, the Griffin, with the horse rear replacing the lion rear. A slightly different breed of Hippogriffs, living in the Rathlin Island-the northernmost point in Northern Ireland, has an initial population of No. From that initial population count, it grew to 705 individuals after 28 years. After 28 more years, the population of hippogriffs in Rathlin Island rose to 2764 individuals. If the carrying capacity of Rathlin Island for this particular specie is 3000 individuals, and calculate for the initial population and the growth rate constant of the said species.
- Joe and Maggie take turns mowing the lawn each week. Maggie suggests they try a new system for determining who should mow the lawn. Each week, they will roll two dice and determine the sum of the values. Since the highest possible sum is 12, Maggie will mow the lawn if the sum is 6 or less, and Joe will mow the lawn if the sum is greater than 6. Before agreeing to Maggie's suggestion, Joe wants to check if this plan would be fair. He decides to roll a pair of dice and determine the sum of the values 100 times. The graph shows the results of the 100 trials. Based on his simulation, should Joe agree to Maggie’s plan? (yes/no), because a sum greater than 6 is likely to occur (more than, less then, equal to)(30%, 50%, 75%) of the timeA forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?nick and Casey are playing darts on the board that has five regions labeled a, b, c, d, and e in which of the regions is a dart most likely to fall?
- Why must there be a minimum of two rows and two columns in a two-way table?A surgical procedure requires four steps. The first can result in five possible outcomes, the second can result in three possible outcomes, and the remaining two can each result in four possible outcomes. What is the total number of outcomes possible?Four puppies, Bruno, Kitty, O'Reilly, and Sweetie, competed in the Annual Puppies of the World Fair. Prizes were awarded for the top three competitors as follows: first place received a Red Ribbon, second place received a Yellow Ribbon, and third place received a Blue Ribbon. Three members of the audience predicted how the prizes would be awarded. • Lucie predicted that Sweetie would win a Red Ribbon, Kitty would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Jenn predicted that Bruno would win a Red Ribbon, Sweetie would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Brenton predicted that Kitty would win a Red Ribbon, Bruno would win a Yellow Ribbon, and Sweetie would win a Blue Ribbon. It turns out that each audience member predicted exactly one prize winner correctly. Determine which dog won which prize.
