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.)

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.