A lamp has two bulbs, each of a type with an average lifetime of 1600 hours. Assuming that we can model the probability of failure of these bulbs by an exponential density function with mean u = 1600, find the probability that both of the lamp bulbs fail within 1500 hours. (Round your answer to four decimal places.)

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

Identify the slope an intercept of the following linear equation y = 1/5x - 6 a. slope: 1/5; intercept: -6 b. slope: 5; intercept: -6 c. slope: -1/5; intercept: 6 d. slope: 1/5; intercept: 6

One positive integer is 2 less than another. the product of the two integers is 24. what are the integers?