Provide an appropriate response.Which of the following statements concerning areas under the standard normal curve is/are true?a. If a z-score is negative, the area to its right is greater than 0.5 b. If the area to the right of a z-score is less than 0.5, the z-score is negative.c. If a z-score is positive, the area to its left is less than 0.5
A. a
B. b, c
C. b
D. a, c
E. a, b
Answer: A
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Evaluate the definite integral. Express the answer in terms of natural logarithms.
A. 
ln
B. ln
- 1
C. ln 7
D. ln
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = x3, g(x) = x3 + 3
A. g shifts the graph of f vertically down 3 units
B. g shifts the graph of f vertically down 3 units
C. g shifts the graph of f vertically up 3 units
D. g shifts the graph of f vertically up 3 units
Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.f(x) = (x + 2)3
A. above the x-axis: (-2, ?) below the x-axis: (-?, -2) B. above the x-axis: no intervals below the x-axis: (-?, -2), (-2, ?) C. above the x-axis: (-?, -2) below the x-axis: (-2, ?) D. above the x-axis: (-?, -2), (-2, ?) below the x-axis: no intervals
Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits.a = 0.6211 cm, c = 0.7937 cm
A. A = 17.25 o, B = 72.75 o B. A = 35.77 o, B = 54.23 o C. A = 48.99 o, B = 41.01 o D. A = 56.49 o, B = 33.51 o E. A = 51.49 o, B = 38.51 o