Ms cruz fifth grade class is casting for school play. erin, claire, and hazel are all up for the lead role in play. juanita, michele, andrea, and grace are all up for supporting role in the play. each girl has equal chance of being selected. make a tree diagram to show the possibilities of who will play lead actress and supporting actress

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Zack notices that segment nm and segment pq are congruent in the image below: which step could him determine if δnmo ≅δpqr by sas? (5 points) segment mo ≅ segment qr segment on ≅ segment qp ∠ n ≅ ∠ r ∠ o ≅ ∠ q

Which of the following represents the factorization of the trinomial below? x^2+7x-30