Use a determinant and the given vertices of a triangle to find the area of the triangle.
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A. ?
B. 4
C. ?
D.
E. 7
Answer: E
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Find the indicated probability.The following table show the results of a clinical trial for an allergy drug. What is the probability that a randomly selected person was given a placebo and improved? Round your answer to the nearest thousandth when necessary.
A. 0.69 B. 0.17 C. 0.942 D. 0.772
For the given geometric sequence, find an and the sum of the terms from a1 to an. 3, -9, 27, -81 ... ; find a7
A. -81; 1641 B. 2187; 1641 C. 2187; 21 D. 732; -21
A computer password is made up of four characters. Each character can be a capital letter (A through Z), a lowercase letter (a through z) or a digit (0 through 9).How many passwords have 3 letters (uppercase or lowercase) and only one digit?
A. 523 × 10 B. 4 × 52× 10 C. 4 × 523 × 10 D. 52 × 51 × 50 × 10 E. none of these
A grand tour of four cities begins at city A and makes successive stops at cities B, C, and D before returning to city A. If the cities are located as shown in the following figure, find the total distance covered on the tour.
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A. 2,300 mi B. 2,200 mi C. 2,100 mi D. 2,000 mi E. 1,600 mi