Have Shopped
Male
Female
500
300
Have Never Shopped
700
500
Two thousand adults were randomly selected and asked whether they had shopped online in the previous week. Their responses
are in the table. Are the events F-'is female and S have shopped' independent? Why or why not?
Yes; because P(F & S) - P(F). P(S),
No; because P(F & S) + P(F). P(S)
Yes; because P(F & S) - P(F) + P(S)
No; because P(F & S) HP(F) + P(S)

Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

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