Anew firestone tire is guaranteed to last for 40,000 miles. the actual mean life of the tires is 47,000 miles with a standard deviation of 4,000 miles.
a) what percent of the tires will last for at least 40,000 miles?
b) what percent of the tires will not last for at least 40,000 miles?
c) what is the probability that a tire will last for more than 50,000 miles?
d) the firestone company wants to advertise how long some of their tires last. they decide to state how long the top 3% of their tires will last. how many miles will the top 3% of their tires last?

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality