An air-conditioner manufacturer randomly samples 50 units and finds that 2 are defective. the company ships 1200 units each month. which is the best prediction for the number of defective units in the monthly shipment? 24 25 50 48

We assume the rate of defectives in the shipment is the same as the rate of defectives in the sample. If x represents the number of defectives shipped, then that means

... 2/50 = x/1200

Multiplying by 1200 gives

... 1200·2/50 = x = 48

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.