In the diagram, segment da is tangent to the circle at point a, and segment db is secant to the circle at points c and b. the rays intersect outside of the circle at point d to form ∠d, which intercepts arc ac and arc ab. if m∠d=81°, m of arc ab = (5x)°, and m of arc ac = (2x−21)°, what is the measure of arc ac? * a.73° b.64° c.78° d.81°

Question 9 of 10 2 points suppose your sat score is 1770. you look up the average sat scores for students admitted to your preferred colleges and find the list of scores below. based on your sat score of 1770, which average score below represents the college that would be your best option? o a. 1790 o b. 2130 o c. 2210 od. 1350

The cost of a taxi ride includes an initial charge of $2.00. if a 5km ride cost $6.00 and a 10km ride cost $10.00, determine the cost of a 15km ride.

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