Astore manager did a study to determine the amount of money the first 50 customers spent in her store. the data are approximately normally distributed
with a mean of $29.60 and a standard deviation of $10.50. the formula for normalizing data is: z= (x−μ / σ) z is the normal score x is a discrete data value μ is the mean σ is the standard deviation determine the probability that a customer spent over $35. enter your answer as a decimal to the hundredths place.

Your food costs are $5,500. your total food sales are $11,000. what percent of your food sales do the food costs represent?

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Atorch and a battery cost 2.50 altogether.the torch costs 1.50 more than the battery.what fraction of the total price is the torch? give your answer in its simplest form.