Rectangle abcd has vertices a(1, 2) , b(4, 2) , c(1, −2) , and d(4, −2) . a dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.

which vertex in the dilated image has coordinates of (24, 12)

a. a′

b. b′

c. c′

d. d′

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Spencer has 1/3 pound of nuts he divides them equally into 4 bags what fraction of a pound of nuts is in each bag