A twin-engine airplane has a speed of 310 mi divided by h in still air. Suppose this airplane heads directly south and encounters a 70 mi divided by h wind blowing due east. Find the resulting speed and direction of the plane.

What is the resulting speed of the plane? (Round to the nearest whole number as needed.)
What is the resulting direction of the plane? (Do not round until the final answer. Then round to the nearest degree as needed.)

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.) (a) the volume of the cube maximum possible error cm3 relative error percentage error % (b) the surface area of the cube maximum possible error cm2 relative error percentage error %