Which of the following statements are always true? 1.
For a parabola written in standard form (
y=ax2+bx+c), if a > 0, the vertex represents the
absolute minimum point on the parabola.
II. Every parabola has one or more real zeros.
III. For a parabola with two real zeros, you can find the
coordinates of the vertex by finding the midpoint
between the roots, and evaluating the function at this x-
value.

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

What is the perimeter of square abcd? units units 28 units 37 units

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 12611261 chips and a standard deviation of 118118 chips. (a) determine the 2626th percentile for the number of chocolate chips in a bag. (b) determine the number of chocolate chips in a bag that make up the middle 9696% of bags. (c) what is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?