Emily is three years older than twice her sister mary’s age. the sum of their ages is less than 30.

let x represent mary's age.

which inequality represents mary’s possible age?

a. 0 < x < / = 9
b. 0 < x < / = 18
c. 0 < x < 18
d. 0 < x < 9

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).

Carley bought a jacket that was discounted 10% off the original price. the expression below represents the discounted price in dollars, based on x, the original price of the jacket.

Mackenzie needs to determine whether the rectangles are proportional. which process could she use? check all that apply.