5 red, 3 yellow, and 2 blue....for a total of 10 marbles
P(first one being blue) = 2/10 which reduces to 1/5
not replaced
P(second one is blue) = 1/9...because u already pick a blue, meaning there is only 1 left, and there is one less marble, so there is a total of 9 marbles.
P(both events happening) = 1/5 * 1/9 = 1/45 <==
Answer:
120
Step-by-step explanation:
Okay so the equation would be like this
30 + 0.10g = P
g = GB of data used
P = Total Price
Let's work this out now!
So. If his total bill was $42 lets subtract the 30 that comes out every month automatically, now we are just left with 12, if each GB costs 0.10 then all you would do to find out how many GB he used is do 12/0.10 (which is really just 12*10) which will get you 120
Meaning that he used 120 GB
(That's a lot!)
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points
, then the equation of line is
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The line passes through (-3,-6) and (2,-2). So, the equation of line is
![y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))](https://tex.z-dn.net/?f=y-%28-6%29%3D%5Cdfrac%7B-2-%28-6%29%7D%7B2-%28-3%29%7D%28x-%28-3%29%29)
![y+6=\dfrac{-2+6}{2+3}(x+3)](https://tex.z-dn.net/?f=y%2B6%3D%5Cdfrac%7B-2%2B6%7D%7B2%2B3%7D%28x%2B3%29)
![y+6=\dfrac{4}{5}(x+3)](https://tex.z-dn.net/?f=y%2B6%3D%5Cdfrac%7B4%7D%7B5%7D%28x%2B3%29)
![y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)](https://tex.z-dn.net/?f=y%2B6%3D%5Cdfrac%7B4%7D%7B5%7D%28x%29%2B%5Cdfrac%7B4%7D%7B5%7D%283%29)
Subtract 6 from both sides.
![y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B5%7D%28x%29%2B%5Cdfrac%7B12%7D%7B5%7D-6)
![y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B5%7D%28x%29%2B%5Cdfrac%7B12-30%7D%7B5%7D)
![y=\dfrac{4}{5}(x)+\dfrac{-18}{5}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B5%7D%28x%29%2B%5Cdfrac%7B-18%7D%7B5%7D)
![y=\dfrac{4}{5}(x)-\dfrac{18}{5}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B4%7D%7B5%7D%28x%29-%5Cdfrac%7B18%7D%7B5%7D)
Therefore, the equation of line is
.
Cot(x)sec(x) =
(cos(x)/sin(x))(1/cos(x))=
cos(x)/(sin(x)cos(x)) =
1/sin(x) =
csc(x)
The only reason an inequality would change would be because a number is divided or multiplied by a negative number. So if it stayed the same, then it would be because there was no division or multiplication by a negative number. Hope I helped :)