Extruded plastic rods are automatically cut into nominal lengths of 6 inches. actual lengths are normally distributed about a mean of 6 inches and their standard deviation is 0.06 inch.

(a) what proportion of the rods have lengths that are outside the tolerance limits of 5.9 inches to 6.1 inches?
(b) to what value does the standard deviation need to be reduced if 99% of the rods must be within tolerance?

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

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

you can not solvr this without numbers

the answer is a. 72. but i cant answer with less than 20 characters so here's some random text talking about it.