The following data set shows the pulse rates of some cattle at a farm:

65, 68, 69, 67, 69, 68, 65, 69, 65, 68, 67, 69, 68, 67, 67, 69

Which dot plot best represents the data?

dot plot with 3 dots over 65, no dot over 66, 4 dots over 67, 5 dots over 68, 5 dots over 69
dot plot with 2 dots over 65, no dot over 66, 4 dots over 67, 4 dots over 68, 5 dots over 69
dot plot with 3 dots over 65, no dot over 66, 4 dots over 67, 4 dots over 68, 5 dots over 69
dot plot with 4 dots over 65, no dot over 66, 3 dots over 67, 4 dots over 68, 5 dots over 69

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

step-by-step explanation:

; fx

ѕнє ¢αи ∂яινє 132 кιℓσмєтєяѕ

нσρє ι ¢συк∂ нєℓρ

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.