Aboiler has five identical relief valves. the probability that any particular valve will open on demand is .95. assuming independent operation of the valves, calculate p(at least one valve opens) and p(at least one valve fails to open).

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of years since records began to be kept at the school. what is the record for the long jump 11 years after record started being kept? round your answer to the nearest tenth.

Need ! discuss how to convert the standard form of the equation of a circle to the general form. 50 points

The longer leg of a 30° 60° 90° triangle is 16 times square root of three how long is a shorter leg