A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of 2.7 inches. If one item is chosen at random, what is the probability that it is less than 11.5 inches long

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Aportion of a hiking trail slopes downward at about an 84° angle. to the nearest tenth of a flot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet? a. 143.3 b. 12.5 c. 120.7 d. 130.2

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827