The lifetime of disc brake pads varies according to a normal distribution with mean μ = 50,000 miles and standard deviation σ = 3000 miles. (a) What is the probability the lifetime of a random sampled brake pad is 47,000 miles or less? (b) What is the distribution of the mean lifetime X of 9 randomly sampled brake pads? (c) What is the probability the mean lifetime of 9 randomly sampled brake pads is less than 47,000 miles?

22 dimes and 9 nickels

step-by-step explanation:

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.