Apedestrian bridge is 53 meters long. due to changes in temperature, the bridge may expand or contract by as much as 21 millimeters. write and solve an absolute-value equation to find the minimum and maximum lengths of the bridge.

Length of bridge = 53 meters

Length changes expected due to changes in temperature = expansion or contraction by 21 millimeters (or 0.021 meters)

Let length of bridge at any given time be 'a'

As an absolute value equation, the situation can be expressed as:

⇒ |a-53| < 0.021

Solving the equation

⇒ -0.021 < a-53 < 0.021

⇒ 53 - 0.021 < a < 53 + 0.021

⇒ 52.979 < a < 53.021

Hence, the minimum length of the bridge can be 52.979 meters and the maximum length of the bridge can be 53.021 meters.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

69.64%

step-by-step explanation: