The center of an ellipse is (-9,3). one focus is (-7,3). the major axis is 24 units long. what is the equation of the ellipse in standard form?

i got as far as ((x+9)^2)/24 + ((y-3)^2)/b^2 =1

but i don't know how to get b^2 (length of the minor axis)

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.

Liz had 140 pens and inna had 100 pens. after inna gave liz some pens, liz had 3 times as many pens as inna. how many pens did inna give liz?

Ok a point t on a segment with endpoints d(1, 4) and f(7, 1) partitions the segment in a 2: 1 ratio. find t. you must show all work to receive credit.