Olivia's house is located at the point (-5, 5) on a coordinate grid. her best friend's house is at (2, 3) and the market is at (-5, -5). the movie theatre is directly below jen's house. the distance from jen's house to the movie theatre is half the distance from olivia's house to the market. which could be the coordinates for the movie theatre? a) (-3, 2) b) (-2, 2) c) (2, -2) d) (2, -3)

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.