The gym teacher is told that the average height of the girls in her physical education class is 5’4”, and the heights follow the normal distribution. she is told that 68% of the girls are 5’2” to 5’6” tall. she measures the height of each girl and finds that the heights do follow the normal distribution. based on her findings, she determines that 95% of the girls will be 5’0” to 5’8” tall. use your knowledge of normal distribution to select two options that will justify the gym teacher’s belief.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: