When any one of these changes **occur, it is likely the result of careful analysis conducted by transportation planners. Please select the best sentence alteration.
A) occurs B) occur C) do occur D) does occur E) no change The correct answer is A. "When any one of these changes occurs." This is because the subject in this sentence is "any one" (of these changes), which is a singular subject. The singular form of the verb "to occur" is occurs.
What is the difference between a Type I and Type II error?
A Type I error means that we rejected a true null hypothesis, and a Type II error means that we failed to reject a false null hypothesis.
Solve -20x - 4y - 32 = 0 for y.
This question involves solving a two-variable equation. Since our answer will begin with "y = .....," it will be in terms of x, so the variable x will be in our answer. To solve for y, we first have to isolate y on one side of the equation, so we will at 4y to each side of the equals sign. This leaves us with -20x - 32 = 4y. Next, to get the variable y all by itself, we will remove the coefficient 4 by dividing each side of the equation by 4. This leaves us with -5x - 8 = y, or y = -5x - 8.