7. Two variables are proportionally related with a constant of proportionality k. Which of the
following points must lie on the graph of this relationship?
(1) (k, 0)
(3) (0, k)
(2) (k,1)
(4) (1, k)

Triangle jkl was dilated using the rule dm, 1/3 the image, triangle j’ k’ l’ is the result of the dilation. a.5 units b.7.5 units c.10 units d.12.5 units

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).

Arectangle has a width of 5 cm and a length of 10 cm. if the width is increased by 3, how does the perimeter change?