The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. past experience has indicated that the standard deviation of breaking strength is 3.0 psi. a random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi. (a) calculate the p-value. round your answer to 3 decimal places. (b) if α = 0.05, should the fiber be judged acceptable?
use the formula y^2 - y^1/x^2 - x^1
so, it would be 9-4/-2 - (-6).
this equals to 1.25.
use the formula y=mx+b to find the y intercept.
take a point, (-2, 9) and substitute x and y.
you do inverse operation and add 2.5 to each side of the equation.
your final answer should be y=1.25x+11.5.
width of 9cm and length of 17cm.
to calculate an area of a rectangle, use the formula a=l*w. we know the length is 8cm longer than the width. so l = 8 + w. so the area is a= (8+w)*w.
we also know the area is 153. substitute this value for a and solve.
to solve the quadratic, use the quadratic formula:
here a=1, b=8 and c=-153.
since w=9 or w=-17, substitute this value for w in l= 8+w to find l.
l = 8+9 = 17
l=8+-17 = -9
since length cannot be positive, it must be l=17 and w=9.
your answer would be 37.5