The graph of f is shown. The x y-coordinate plane is given. The graph labeled y = f(x) is made up of 4 connected line segments.
The first line segment starts at the point (0, 5) on the y-axis, goes up and right, and ends at the point (10, 15).
The second line segment starts at (10, 15), goes horizontally right, and ends at the point (15, 15).
The third line segment starts at the point (15, 15), goes down and right, crosses the x-axis at x = 25, and ends at the point (35, −15).
The fourth line segment starts at the point (35, −15), goes up and right, and ends at the point (45, −10).
Evaluate each integral by interpreting it in terms of areas.
(a)
10

0
f(x) dx
100

Correct: Your answer is correct.
(b)
25

0
f(x) dx
10

Incorrect: Your answer is incorrect.
(c)
35

25
f(x) dx
(d)
35

15
f(x) dx
(e)
35

15
|f(x)| dx
(f)
0

10
f(x) dx
-100

Correct: Your answer is correct.

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