The USDA recommends that a healthy adult consumes 10% to 35% of his calories from protein, 20% to 35% from fat, and 45% to 65% from carbohydrates. Find the distribution for each of the following people and state whether each one is eating a healthy diet based on these recommendations. 1. Kara eats a diet of 160 calories from protein, 440 calories from fat, and 1000 calories from carbohydrates.

2. Aaron eats a diet of 171 g of protein, 65 g of fat, and 145 g of carbohydrates. carbohydrates and proteins provide 4cal/g while fats contain 9 cal/g.

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.