which is the correct simplified version of the expression shown after distrubuting and combining like terms? 1/3(9x-15)+2x

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

Answer:11x + 5

Step-by-step explanation:1/3 times 9X is 3x. 1/3 times 15 is 5. Now you have 9x + 5 + 2x

9x + 2x = 11x

Final answer: 11x + 5

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We have a large sample of people of size n = 506. Let X be the random variable that represents the number of adults who feel that education is one of the top issues facing California. We are interested in the unknown true proportion p of adults who feel that education is one of the top issues facing California. A point estimate for the true population proportion is given by $\hat{p}$ = X/n = 418/506 = 0.83, the standard deviation is given by $\sigma_{\hat{p}} = \sqrt{p(1-p)/n}\approx\sqrt{\hat{p}(1-\hat{p})/n} = \sqrt{(0.83)(0.17)/506} = 0.0167$ . Therefore, the 90% confidence interval for the true population proportion is $\hat{p}\pm z_{0.1/2}\sqrt{\hat{p}(1-\hat{p})/n}$ , i.e., $0.83\pm z_{0.05}0.0167$ , i.e., $0.83\pm (1.6448)(0.0167)$ , (0.8025, 0.8575).