String a is 30cm longer than string b. string b is 60cm longer than than string c. the total length of all 3 strings is 3m. find the length of string c?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e.g. 98.7654). x f(x) 0 1 2 3

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?

Which of the following is a cost homeowners insurance does not protect? a. the cost of repair or replacement of a home lost in a natural disaster. b. additional living expenses required while your home is repaired after a disaster. c. replacement costs for all contents in your home, including high cost electronics. d. the cost of medical expenses incurred by somebody getting injured on your property. select the best answer from the choices provided