There are points on a grid at (0,0) and (3,0). a. What is a possible coordinate of the third vertex if the triangle has a perimeter of 11 units? Explain.
b. Is there another point that could be the third vertex? Explain.
a. Suppose the triangle is an isosceles triangle in quadrant I with base 3 units. Then, each of the other
sides would measure units. This isosceles triangle is made up of two triangles each with a base of
units and a hypotenuse of units. The height of the right triangle is approximately units. So,
the coordinates of the third vertex are.
(Type an ordered pair, using integers or decimals. Round to the nearest tenth as needed.)

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