Step-by-step explanation:
- 0.5
- 0.9
- divides very well
The probability of randomly getting first a red marble and then a blue marble is:
P = 0.083
<h3>
How to find the probability?</h3>
There are:
- 3 blue marbles
- 2 red marbles
- 4 yellow marbles.
For a total of 9 marbles.
The probability of getting a red marble is equal to the quotient between the number of red marbles and the total, so:
P(red) = 2/9
Then the probability of getting a blue marble is equal to the quotient between the number of blue marbles and the total, but because we already took one marble, now the total is 8.
P(blue) = 3/8
The joint probability is given by the product:
P = (2/9)*(3/8) = 0.083
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Answer:
![d = 14](https://tex.z-dn.net/?f=d%20%3D%2014)
![(-2,-1)](https://tex.z-dn.net/?f=%28-2%2C-1%29)
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distance Formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
- Midpoint Formula:
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Step-by-step explanation:
<u>Step 1: Define</u>
(5, -1)
(-9, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute:
![d = \sqrt{(-9-5)^2+(-1-(-1))^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-9-5%29%5E2%2B%28-1-%28-1%29%29%5E2%7D)
- Simplify:
![d = \sqrt{(-9-5)^2+(-1+1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-9-5%29%5E2%2B%28-1%2B1%29%5E2%7D)
- Subtract/Add:
![d = \sqrt{(-14)^2+(0)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-14%29%5E2%2B%280%29%5E2%7D)
- Evaluate:
![d = \sqrt{196}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B196%7D)
- Evaluate:
![d = \14](https://tex.z-dn.net/?f=d%20%3D%20%5C14)
<u>Step 3: Find Midpoint</u>
- Substitute:
![(\frac{5-9}{2},\frac{-1-1}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B5-9%7D%7B2%7D%2C%5Cfrac%7B-1-1%7D%7B2%7D%29)
- Subtract:
![(\frac{-4}{2},\frac{-2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%7D%7B2%7D%2C%5Cfrac%7B-2%7D%7B2%7D%29)
- Divide:
![(-2,-1)](https://tex.z-dn.net/?f=%28-2%2C-1%29)
i will rate you 8
Step-by-step explanation:
thank you for your point
1 mile = 5,280 feet
hope this helps