Triangle ABC with vertices A(−2, −4), B(1, −3), and C(3, 3) is translated by (x, y) arrowright (x − 7, y + 7). Then the image, triangle A′B′C′, is translated by (x, y) arrowright (x + 8, y − 6), resulting in A″B″C″.

Find the coordinates for the vertices of triangle A″B″C″.

The coordinates are A″(
,
), B″(
,
), and C″(
,
).

Enter a rule for one translation that maps triangle ABC to triangle A″B″C″.

A single rule that maps triangle ABC to triangle A″B″C″ is (x, y) arrowright (x +
, y +
).

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