Ashipment of beach balls with a mean diameter of 28 cm and a standard deviation of 1.3 cm is normally distributed. by how many standard deviations does a beach ball with a diameter of 31.9 cm differ from the mean?

31.9 cm differs from mean by 3 standard deviations.

Step-by-step explanation:

Given:

Mean diameter of the ball = 28 cm

Standard deviation = 1.3 cm

Thus the number of standard deviations by which 31.9 cm ball size differs from the mean ball size is given by the standard normal deviate (Z) given by

Applying values we get

Thus 31.9 cm differs from mean by 3 standard deviations.

m∠vru = 80°

m∠urw = 15°

step-by-step explanation:

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this