Aflagpole casts a shadow 16.60 meters long. tim stands at a distance of 12.45 meters from the base of the flagpole, such that the end of tim's shadow meets the end of the flagpoles shadow. if tim is 1.65 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.

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

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

He mass of a single atom of carbon can be found by dividing the atomic mass (12.01 g) by 6.022 x 10^23. which is the mass of a single carbon atom, correctly written in scientific notation with the correct number of significant figures?