if its diameter is 12, then its radius is half that or 6.
![\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3}\implies V=\cfrac{4}{3}\cdot \pi \cdot 6^3 \\\\\\ V=\cfrac{864}{3}\cdot \pi \implies V=\cfrac{864}{3}\cdot 3.14\implies V\approx 904.32~cm^3](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%286%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B4%7D%7B3%7D%5Ccdot%20%5Cpi%20%5Ccdot%206%5E3%20%5C%5C%5C%5C%5C%5C%20V%3D%5Ccfrac%7B864%7D%7B3%7D%5Ccdot%20%5Cpi%20%5Cimplies%20V%3D%5Ccfrac%7B864%7D%7B3%7D%5Ccdot%203.14%5Cimplies%20V%5Capprox%20904.32~cm%5E3)
1 Si los sumandos son del mismo signo, se suman los valores absolutos y al resultado se le pone el signo común. 2 Si los sumandos son de distinto signo, se restan los valores absolutos (al mayor le restamos el menor) y al resultado se le pone el signo del número de mayor valor absoluto.
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
The carnival is losing (on average) $0.15 on each play
Step-by-step explanation:
To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.
Expected is the sum of the payouts of each bet multiplied by its likelihood:

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

The carnival is losing (on average) $0.15 on each play
Answer:
The lines do not intersect, it is parallel therefore there is no solution.
Step-by-step explanation: