According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.82. Suppose a random sample of 100 Americans is asked the question "Are you satisfied with the way things are going in your life?" What is the probability the proportion of people who answer yes exceeds 0.85? Would it be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfiedwith the way things are going in their life?

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

In 2000 there were 100 rabbits in central park the population increased by 16% each year ? write a function to illustrate the situation. how many rabbits were in central park in 2005 . predict how many rabbits there will be at the end of this year we are in 2018?

Jennifer graphs the function f(x)=x squared. then she graphs the function f(x-3). how does the graph f(x-3) differ from the graph of f(x)