Dado a que dichos artículos saldrán al mercado, el área de marketing prevé que su precio unitario, "p" (dado en soles) y cualquier nivel de producción, "x"; cumplirán con la siguiente relación: p=600-0.5x Ayude usted a determinar: a) La expresión funcional de la utilidad total mensual, U. b) El dominio y rango de U. c) La gráfica correcta de U. d) El vértice de la expresión funcional (interprete) e) Será conveniente producir y vender todo. (de alguna razón)

Aright cylinder has a diameter of 8 m and a height of 6m. what is the volume of the cylinder

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?