A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of 104 residents and found the mean weight to be 156 pounds with a standard deviation of 36 pounds. Determine a 95% confidence interval for the mean, rounding all values to the nearest tenth.

The lengths of two sides of a right triangle are given. find the length of the third side. round to the nearest tenth if necessary. a) y = 12/5x + 39/5 b) y = 5/12x + 5/39 c) y = 12/5x - 39/5 d) y = 5/12x - 5/39

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?

Determine the equivalent system for the given system of equations: 5x − 3y = 6 x + y = 2