Tanya is competing in a 3 mile race that starts at 10am. she hopes to run at an average rate of 6 miles per hour. at 10: 15 am her mother arrives at the finish line and is told that tanya is exactly halfway through the race. define the independent and dependent variables. write an equation that represents the total distance tanya has run in terms of minutes from the time her mother arrives. how long will tanya's mother have to wait at the finish line for tanya to arrive? assume tanya continues to run at the same speed.

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.