F(x) = 2x² - 8x - 10.
This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:
a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex
b) for x = 2, f(x) = f(2) = - 18 (component of y of the vertex)
c) VERTEX(2, - 18)
d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144
Answer:
a) Marginal probability of X
b) Marginal probability of Y
c) The probability that the drive-through facility is busy less than one-half of the time is P=0.5.
Step-by-step explanation:
The joint density function of probability is:
a) The marginal density of X is
b) The marginal density of Y is:
c) Probability that the drive-through facility is busy less than one-half of the time. This is P(X<0.5).
The answer would be -25.
Before we get to the solution, we need to remind ourselves that integers are whole numbers, but they include even negative numbers.
First we need to look at least two factors of 24.
Positive:
24 x 1 = 24
12 x 2 = 24
8 x 3 = 24
6 x 4 = 24
Negative:
-24 x -1 = 24
- 12 x -2 = 24
-8 x - 3 = 24
-6 x -4 = 24
Now lets add these factors and see the sum of each of these factors:
24 + 1 =25
12 + 2 = 14
8 + 3 = 11
6 + 4 = 10
-24 + -1 = -25
- 12 + -2 = -14
-8 + - 3 = -11
-6 + -4 = -10