Which statement correctly compares the centers of the distributions? Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
(in cm)
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
A. The median penguin heights are the same.
B. The range of penguin heights is greater at Cityview Zoo than at
Park Zoo.
O C. The median penguin height is greater at Cityview Zoo than at Park
Zoo.
D. The median penguin height is greater at Park Zoo than at Cityview
Zoo.

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5