The probability density function of the time to failure of an electronic component in a copier (in hours) is f left-parenthesis x right-parenthesis equals startfraction e superscript negative x divided by 1034 baseline over 1034endfraction for x greater-than 0. determine the probability that a) a component lasts more than 3000 hours before failure. (round the answer to 3 decimal places.) b) a component fails in the interval from 1000 to 2000 hours. (round the answer to 3 decimal places.) c) a component fails before 1000 hours. (round the answer to 3 decimal places.) d) determine the number of hours at which 10% of all components have failed. (round the answer to the nearest integer.)

Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Atriangle has side lengths of x, x+11, and 3x+5. what is the perimeter?