Find the equation of the least-squares regression line and the linear correlation coefficient for the given data. Round constants to the nearest thousandth.


Mathematics

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Perform the indicated operations.8x - (11 - 4x)

A. 4x - 11 B. 12x + 11 C. 4x + 11 D. 12x - 11

Mathematics

Find the area of the shaded region.

A. 4.7 B. 2.7 C. 7.4 D. 5.4

Mathematics

Find the vertex, focus, directrix, and focal width of the parabola.y2 = 8x

A. Vertex: (0, 0); Focus: (2, 0); Directrix: x = -2; Focal width: 32 B. Vertex: (0, 0); Focus: (0, 2); Directrix: y = -2; Focal width: 2 C. Vertex: (0, 0); Focus: (2, 2); Directrix: x = 2; Focal width: 32 D. Vertex: (0, 0); Focus: (2, 0); Directrix: x = -2; Focal width: 8

Mathematics

Solve the problem using matrices.A company manufactures three types of wooden chairs: the Kitui, the Goa, and the Santa Fe. To make a Kitui chair requires 1 hour of cutting time, 1.5 hours of assembly time, and 1 hour of finishing time. A Goa chair requires 1.5 hours of cutting time, 2.5 hours of assembly time and 2 hours of finishing time. A Santa Fe chair requires 1.5 hours of cutting time, 3 hours of assembly time, and 3 hours of finishing time. If 41 hours of cutting time, 70 hours of assembly time, and 58 hours of finishing time were used one week, how many of each type of chair were produced?

What will be an ideal response?

Mathematics