Over the past several years, the proportion of one-person households has been increasing. the census bureau would like to test the hypothesis that the proportion of one-person households exceeds 0.23. the hypotheses of interest are given below: h0: p ≤ 0.23 ha: p > 0.23 a random sample of 136 households found that 43 consisted of one person. the census bureau would like to set α = 0.05. what is the value of the test statistic for this scenario? round your answer to two decimal places.

∠1 and ∠2 are complementary. ∠1=x°∠2=(3x+30)° select from the drop down menu to correctly answer the question. what is the value of x? . a.15 b.25 c.30 d.40 e.55

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Find the measure of angle y. round your answer to the nearest hundredth. ( type the numerical answer only) a right triangle is shown with one leg measuring 5 and another leg measuring 14. an angle across from the leg measuring 5 is marked y degrees. numerical answers expected!