Answer:
0.3542 = 35.42% probability that the third light is red
Step-by-step explanation:
For each light:
If it is green, 77% probability that the next is green.
If it is red, 77% probability that the next is red.
If the first light is green, what is the probability that the third light is red?
These following outcomes are desired, for the second and third lights:
G - R(0.77, then 1 - 0.77 = 0.23 probability)
R - R(0.23, then 0.77 probability).
So the desired probability is:
0.3542 = 35.42% probability that the third light is red
9514 1404 393
Answer:
Step-by-step explanation:
When you multiply a <u>fraction</u> by a whole number, the denominator in the product is the same as the <u>denominator</u> of the fraction. The numerator in the product is the <u>product</u> of the whole number and the <u>numerator</u> of the fraction.
__
That's the rule. It is derived from the fact that multiplication indicates repeated addition.
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
