You are competing in a race. the table shows the times from last year's race. you want your time to be last year's median time with an absolute deviation of at most 4
minutes. complete the inequality to represent the time (in minutes) you hope to achieve.
race times (minutes)
26 35 27 32
33 42 48 28
36 40 38 32

30≤t≤38

Step-by-step explanation:

Arrange the given data in ascending order and determine the median

26, 27,28,32,32,33,35,36,38,40,42,48

Median is (33+35)/2 =68/2 = 34

Absolute deviation is at most 4, this means:  median ± 4

Median high value = 34+4 = 38

Median low value= 34-4=30

Inequality to represent time, t will be

30≤t≤38

70.30

step-by-step explanation:

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.