A structure with a design life of 50 yr is planned for a site where high- intensity earthquakes may occur with a return period of 100yr. The struc- ture is designed to have a 0.99 probability of not su ering damage within its design life. Damage effects between earthquakes are statistically independent. If occurrence of high intensity earthquake at the site is modeled by Bernoulli sequence what is the probability of damage to the structure under a single earthquake?

Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?