Answer:
- 36.00%
- 99.9976%
Step-by-step explanation:
Two mutually exclusive events that cover all possible events have a combined probability of 1.
1. If there is no middle ground—you either pass math or you don't—then the probability of not passing math this semester is 100% - 64% = 36%.
__
2. If there is no middle ground—you either win the lottery or you don't—then the probability of not winning the lottery is 100% - 0.0024% = 99.9976%.
Answer:
A. The y-intercept of g(x) is less than the y-intercept of f(x).
Step-by-step explanation:
The x-intercept, or when x = 0, of f(x) is -4, the x-intercept of g(x) is -8, so g(x) are neither greater nor equal to f(x), this marks out C and D. The y-intercept, or when y = 0, is in this case f(x) or g(x). The y-intercept of f(x) is 16, the y-intercept of g(x) is 4, so the y-intercept of g(x) is not equal to the y-intercept of f(x), this marks out B. Now to check A, 4 < 16, so y-intercept of g(x) < y-intercept of f(x), the answer is A
Plug
into the equation of the ellipsoid:

Complete the square:

Then the intersection is such that


which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let



(Attached is a plot of the two surfaces and the intersection; red for the positive root
, blue for the negative)
Shouldn’t it be the figures are similar? theyre the same size, along with the same measure of angles.