Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56 hours and a standard deviation of 3.2 hours. With this information, answer the following questions.
(a) What proportion of light bulbs will last more than 61 hours?
(b) What proportion of light bulbs will last 53 hours or less?
(c) What proportion of light bulbs will last between 57 and 61 hours?
(d) What is the probability that a randomly selected light bulb lasts less than 45 hours?
(a) The proportion of light bulbs that last more than 61 hours is
0.07.
(Round to four decimal places as needed.)

In δabc shown below, bd over ba equals be over bc: triangle abc with segment de intersecting sides ab and bc respectively. the following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side: top path, by given the ratio of line segments bd to ba is equal to the ratio of line segments be to bc. by space labeled by 2, space labeled by 1 occurs. by corresponding parts of similar triangles, angle bde is congruent to angle bac. by converse of the corresponding angles postulate, line segment de is parallel to line segment ac. bottom path, by reflexive property of quality, angle b is congruent to angle b. by space labeled by 2, space labeled by 1 occurs. by corresponding parts of similar triangles, angle bde is congruent to angle bac. by converse of the corresponding angles postulate, line segment de is parallel to line segment ac. which reason can be used to fill in the numbered blank space? 1. δabc ~ δbed 2. side-angle-side similarity postulate 1. δabc ~ δbed 2. side-side-side similarity theorem 1. δabc ~ δdbe 2. side-angle-side similarity postulate 1. δabc ~ δdbe 2. side-side-side similarity theorem

Emmanuel has had a sharps exposure at work and has reported the incident, his employer has offered him an immediate confidential medical evaluation and follow-up care. what can he expect from the exam?

Explain the importance of file management and how to control files over time