Write the set as indicated.List the counting numbers that are multiples of 5.
A. {5, 10, 15, . . .}
B. ?
C. {0, 5, 10, 15, . . .}
D. {10, 15, 20, . . .}
Answer: A
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Evaluate the line integral along the curve C.
ds , C is the path from (0, 0, 0) to (1, 1, 1) given by:C1: r(t) = ti, 0 ? t ? 1C2: r(t) = i + tj, 0 ? t ? 1C3: r(t) = i + j + tk, 0 ? t ? 1
A. -41 + 5e5 + ln 2 B. -25 + e5 C. -19 + e5 D. -36 + 6e5 + ln 2
Calculate the flux of the field F across the closed plane curve C.F = yi - xj; the curve C is the circle (x + 10)2 + (y + 10)2 = 64
A. 160 B. -320 C. -160 D. 0
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.
What is the median number of students taking English, Science, and Math?
A. 300 students B. 150 students C. 200 students D. 400 students
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400