I WILL GIVE BRAINLEST TO THE CORRECT ANSWER AND YOU HAVE TO GIVE A GOOD EXPLANATION Why is the product of two rational numbers always rational? Select from the drop-down menus to correctly complete the proof. Let ab and cd represent two rational numbers. This means a, b, c, and d are ___.. , and b and d are not 0. The product of the numbers is acbd, where bd is not 0. Both ac and bd are ___... , and bd is not 0. Because acbd is the ratio of two ... , the product is a rational number.

first blank options:
integers
irrational numbers

second blank options:
integers
irrational numbers

third blank options:
integers
irrational numbers

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.