A kettle has an input of 1000J electrical energy. 100J of energy is transferred as sound and 50J of energy is transferred as light energy. 100J is transferred to the surroundings as thermal energy. The remaining energy is transferred to the water as thermal energy. What is the efficiency of the kettle?

The probability that a u. s. resident has traveled to canada is 0.18 and to mexico is 0.09. a. if traveling to canada and traveling to mexico are independent events, what is the probability that a randomly-selected person has traveled to both? (page 109 in the book may ) b. it turns out that only 4% of u. s. residents have traveled to both countries. comparing this with your answer to part a, are the events independent? explain why or why not. (page 119 may ) c. using the %’s given, make a venn diagram to display this information. (don’t use your answer to part a.) d. using the conditional probability formula (page 114 in the book) and the %’s given, find the probability that a randomly-selected person has traveled to canada, if we know they have traveled to mexico.

The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is the temperature in degrees celsius. find the temperature when the velocity is 329 meters per second by graphing the equation. round the answer to the nearest degree. show your work.

What additional information could be used to prove that δxyz ≅ δfeg using asa or aas? check all that apply.