Nora jogs 414 miles on Monday. She jogs 112 fewer miles on Tuesday. Write and evaluate an addition expression to find how many miles Nora jogs on Tuesday.

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

The vice president of programming at nbc is finalizing the prime-time schedule for the fall. she has decided to include a hospital drama but is unsure which of two possibilities to select. she has a pilot called the surgeon and another called critical care. to her make a final decision, a sample of 20 viewers from throughout the united states was asked to watch the two pilots and indicate which show they prefer. the results were that 12 liked the surgeon, 7 liked critical care, and one had no preference. state the decision rule, using the 0.10 significance level. h0: π = 0.50 h1: π ≠ 0.50 1. reject h0 if number of + signs is either < = or > = 2. what is your decision regarding h0? is there a preference for one of the two shows?

Aplot of land in the shape of a vertical ellipse has a pole at each focus. the foci are 8 feet from the center. if the plot of land is 34 feet across the vertical axis, then it is (a.24 b. 30 c. 32 d. 36) feet across the other axis. the eccentricity of the ellipse traced by the boundary of this plot, rounded to the nearest thousandth, is (a.0.543 b.0.515 c.0.471 d. 0.459)