Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
The fish market sell 16 pound of fish and 12.5 pound of lobster.
Answer:
![y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Step-by-step explanation:
Given:
The two points on the line are:
![(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%28-6%2C-3%29%5C%5C%28x_2%2Cy_2%29%3D%286%2C-7%29)
Now, for a line with two points on it, the slope of the line is given as:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
For the points
, slope is:
![m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-7-%28-3%29%7D%7B6-%28-6%29%7D%5C%5Cm%3D%5Cfrac%7B-7%2B3%7D%7B6%2B6%7D%5C%5Cm%3D%5Cfrac%7B-4%7D%7B12%7D%3D-%5Cfrac%7B1%7D%7B3%7D)
Now, for a line with slope 'm' and a point
on it is given as:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Plug in all the values and determine the equation of the line. This gives,
![y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y-%28-3%29%3D-%5Cfrac%7B1%7D%7B3%7D%28x-%28-6%29%29%5C%5C%5C%5Cy%2B3%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B6%29%5C%5C%5C%5Cy%2B3%3D-%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B3%7D%5Ctimes%206%5C%5C%5C%5Cy%2B3%3D-%5Cfrac%7B1%7D%7B3%7Dx-2%5C%5C%5C%5Cy%3D-%5Cfrac%7B1%7D%7B3%7Dx-2-3%5C%5C%5C%5Cy%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Therefore, the equation of the line is:
![y=-\frac{1}{3}x-5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx-5)
Not sure I’m sorry, have you tried google