The manufacturer of the colorsmart-5000 television set claims 95 percent of its sets last at least five years without needing a single repair. in order to test this claim, a consumer group randomly selects 444 consumers who have owned a colorsmart-5000 television set for five years. of these 444 consumers, 316 say their colorsmart-5000 television sets did not need a repair, whereas 128 say their colorsmart-5000 television sets did need at least one repair.

(a) find a 99 percent confidence interval for the proportion of all colorsmart-5000 television sets that have lasted at least five years without needing a single repair. (round your answers to 3 decimal places.)

Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it?

In july, the average temperature in one us city was 29°c. by december, the average temperature had fallen by 29°c. explain why the average temperature in december was 0°c.

Aprism and two nets are shown below: image of a right triangular prism and 2 nets. the triangle bases have base 4, height 3, and diagonal side 5. the length of the prism from the bases is 9.4. net a has 3 rectangles in a row. the middle one has sides ac and cd. this middle one has triangle abc on top and identical triangle below. net b is the same except that the triangle base abc is on top of the last rectangle which has sides ac and cd. units are in inches. part a: which is the correct net for the prism? explain your answer. (2 points) part b: write the measurements of sides ab, bc, and cd of the correct net. (4 points) part c: what is the surface area of the prism? show your work. (4 points)