Each of the ten letters in ``mathcounts'' is written on its own square tile and placed in a bag. what is the probability that a tile randomly selected from the bag will have a letter on it that is in the word ``teach''? express your answer as a common fraction.

Akite is being flown at a 45 angle. the string of the kite is 120 feet long. how high is the kite above the point at which the string is held?

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.