To test the effectiveness of a new drug, a researcher gives one group of patients the new drug and another group a placebo. Results are shown below:
Medication
Effective
Not effective
Active Drug
151
25
Placebo
12
33
Is the proportion of patients who showed effectiveness of active drug significantly higher than the
proportion of patients who showed effectiveness in placebo group? Use alpha=0.05.
The approximate z test statistic for this test can be:

Using two or more complete sentences, describe how you can find a vector parallel to b=-2,3

Are the corresponding angles congruent? explain why or why not.

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