For a given data set, specific value of x, and confidence level, if all the other factors are constant, the confidence interval for the mean value of y will be wider than the corresponding prediction interval for the individual value of y.

a. always
b. sometimes
c. never

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Complete the solution of the equation. find the value of y when x equals -5. -4x - 8y = -52