The random variable X = weight of a randomly selected bag of chips can be modeled by a normal distribution with m = 14.3 ounces and s = 0.08 ounces. Which of the following is correct? I. The probability that a randomly selected bag of chips weighs between 14.14 ounces and 14.54 ounces is about 0.9735.
II. P(X 14.36) » 0.16

A. II only
B. I, II and III
C. I and II
D. II and III

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

60 for the first and 130 for the second

step-by-step explanation:

answer: $1794

step-by-step explanation:

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.