Appearance
question:If the marble statue of Abraham Lincoln in the Lincoln Memorial has a height of 60 feet and a scale model of the statue has a height of 4 inches, then how many feet of the statue does each inch of the model represent?
answer:We can set up a proportion to find the scale factor between the statue and the model: [frac{60 text{ feet}}{4 text{ inches}} = frac{x text{ feet}}{1 text{ inch}},] where x represents the number of feet of the statue that each inch of the model represents. Cross-multiplying gives us 4x = 60, so x = frac{60}{4} = boxed{15}. Each inch of the model represents 15 feet of the statue.The answer is: 15
question:Explain what is the difference between Photosynthesis and Respiration.
answer:Photosynthesis is a process by which plants use sunlight and carbon dioxide to produce energy. During the process, plants take in carbon dioxide and convert it into energy-producing carbohydrates like glucose. Respiration, on the other hand, is when living organisms use the energy produced in photosynthesis to generate energy for their own use. Unlike photosynthesis, respiration consumes oxygen as well as glucose and releases carbon dioxide.
question:A woman has two coins that add up to 30 cents. One coin is not a nickel. What are the two coins?
answer:To solve this problem, we should break down the given information. The woman has two coins worth 30 cents in total, and we know that one of the coins is not a nickel. The key to this problem lies in the phrasing one coin is not a nickel. This statement implies that the other coin can still be a nickel. Since a nickel is worth 5 cents, we should look for a coin that, when combined with a nickel, adds up to 30 cents. A quarter is worth 25 cents. When added to the 5 cents of the nickel, the total value is indeed 30 cents. Therefore, the two coins are a quarter and a nickel. The problem's wording was carefully crafted to make the reader assume neither coin was a nickel, but the correct interpretation is that only one of the coins is not a nickel, leaving room for the other to be a nickel.
question:If you flip a coin ten times and it lands on heads each time, on the eleventh flip, what is the probability that the coin lands on tails?
answer:Many people mistakenly believe that the probability of tails on the eleventh flip is higher because the coin has landed on heads ten times in a row, and it's due for a tails. However, this thinking is based on a misconception known as the gambler's fallacy. In reality, each coin flip is an independent event. The outcome of one flip does not affect the outcome of the next flip. The coin has no memory of its previous flips, and the probability of landing on heads or tails remains the same for each individual flip. Since the coin is fair, it has two equally likely outcomes: heads or tails. The probability of landing on tails on the eleventh flip is still 1/2 or 50%, just like it was on the first flip, the second flip, and so on. The previous ten flips have no influence on the outcome of the eleventh flip.