Two different box-filling machines are used to fill cereal boxes on an assembly line. the critical measurement influenced by these machines is the weight of the product in the boxes. engineers are quite certain that the variance of the weight of product is σ 2 = 8 ounces. experiments are conducted using both machines with sample sizes of 81 each. the sample averages for machines a and b are x¯ a = 7.4 ounces and x¯ b = 7.5 ounces. engineers are surprised that the two sample averages for the filling machines are different.

Solve for x: 5/3 x = 20/21 it's fraction. remember to simplify your fraction

Write 37/22 as a decimal rounded to the nearest hundredth.

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc