Lena is constructing a regular hexagon inscribed in a circle. she begins by drawing a line and labeling a point on the line as point a. she uses her compass to construct a circle with point a as the center, labeling the points where the circle intersects the line as points b and c. without changing the compass opening, she constructs a circle with point b as the center. what step should be her next step? without changing the compass opening, construct a circle with point c as the center. draw a line through point a and either of the two points where the circles intersect. draw a line through the points where the two circles intersect. increasing the compass opening, construct a circle with point c as the center.

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10