15.87% of blue whales consume over 5,850 pounds of fish. Step-by-step explanation: The average fish intake per blue whale is 5,000 pounds, with a standard deviation of 850 pounds, which we assume follows a normal distribution. Let x represent the fish intake. For x = 5,850 pounds, we find the z-score using the standard normal distribution table. The probability that blue whales consume more than 5,850 pounds of fish is 15.87%.
15.87% of blue whales consume over 5,850 pounds of fish. Step-by-step explanation: The mean intake is 5000 pounds with a standard deviation of 850 pounds. We need to calculate P(x > 5850). Utilizing the z-score, z = (x - mean) / standard deviation gives us z = (5850 - 5000) / 850 which simplifies to z = 1. Subsequently, we find P(z > 1) from the z-score table, resulting in P(z > 1) = 0.8413. To find the percentage, we subtract from 1, yielding 1 - 0.8413 = 0.1587 and multiplying this by 100 gives us 15.87%.
