Answer:
![\boxed{0.15}](https://tex.z-dn.net/?f=%5Cboxed%7B0.15%7D)
Step-by-step explanation:
Part 1: Solve for the total amount of marbles
To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.
8 + 14 + 12 = 34 marbles
Part 2: Determine the probabilities
Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.
![\frac{12}{34}*\frac{14}{33} = \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B34%7D%2A%5Cfrac%7B14%7D%7B33%7D%20%3D%20%20%5Cfrac%7B28%7D%7B187%7D%20%5Capproxeq%200.1497%20%5Capproxeq%200.15%20%2A%20100%20%3D%2015)
The probability of these events occurring simultaneously is 15%.
f(x) = 4x - x² - 2x
Vertex form of a parabola: y = a(x - h)² + k where (h, k) is the vertex of this parabola
y = a.(x - h)² + k
y = -1.(x - h)² + k
Let's factor:
f(x) = -x² - 2x + 4
f(x) = -(x + 1)² + 1 + 4
f(x) = -(x + 1)² + 5
So we don't even need to find the vertex, we can just factor.
120
6 times 4 times 5 = 120
Hope this helps
Answer:
11.8
Step-by-step explanation:
The area of a sector is central angle/360 x ![\pi](https://tex.z-dn.net/?f=%5Cpi)
.
Thus, the central angle is 150, while the r=3
So,
×
=
, which is also 11.78097245 or 11.8
C
Step-by-step explanation:
This has a U like shape so it a parabola.
Parabola correlate with quadratic functions
![y = {ax}^{2} + bx + c](https://tex.z-dn.net/?f=y%20%3D%20%20%7Bax%7D%5E%7B2%7D%20%20%2B%20bx%20%2B%20c)
Since it Going down, the answer is C -x^2.