Amount of ounces of juice in eight randomly selected juice bottles are 15.2 15.5 15.9 15.5 15.0 15.7 15.0 15.7 construct a 98% confidence interval for the mean amount of juice in all such bottles. Please help

A) 15.00 oz< μ < 15.87 oz

B) 15.77 oz< μ < 15.10 oz

C) 15.10 oz < μ < 15.77 oz

D) 15.87 oz < μ < 15.00 oz

The triangles are similar. what is the value of x? show your work.

What is the slope of the line that contains the points (-2,1) and (0,-3)

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)