Suppose the movie theater you work at sells popcorn I'm three different sizes. A small cost $2, a medium cost $5, and a large cost $10. On your shift, you sold 250 containers of popcorn and brought in $1726. You sold twice as many large containers as small ones. a. How many of each popcorn size did you sell? B. How much money did you bring in from selling small size containers?

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).

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent. the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244