In a normal distribution, which of the following statements is/are true?

a. The curve has one peak with most of the data points on one side.
b. The mode, mean, and median all occur at the same point.
c. The standard deviation is the same as the spread.
d. 99.7% of the values fall within one standard deviation.


b. The mode, mean, and median all occur at the same point.

Mathematics

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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Asymptotes y = x, y = - x; one vertex is (9, 0)

A.  -   = 1
B.  -   = 9
C.  -   = 1
D.  -   = 324

Mathematics

Use the given information to find the exact value of the expression.sin ? = , ? lies in quadrant II, and cos ? = , ? lies in quadrant IFind cos (? - ?).

A.
B.
C.
D.

Mathematics

Determine the amplitude and range of the function and sketch its graph.y = -2 cos 3x

A. amplitude: 2; range: [0, 2]

B. amplitude: 2; range: [-2, 2]

C. amplitude: 2; range: [-2, 2]

D. amplitude: -2; range: [0, 2]

Mathematics

Solve the problem.How much will it cost to carpet a rectangular room measuring  by  if carpeting costs $30.05 per square meter?

A. $5048.40 B. $1562.60 C. $781.30 D. $10,096.80

Mathematics