Answer:
SA=2lw+2lh+2hw
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Cámbiate de clase mano esa profesora esta depravada
You will need to add all of them and makes a number
Using the expected value, it is found that you should be expected to win $0.0032 every time you play the game.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The expected value is given by the <u>sum of each value multiplied by it's respective probability</u>.
9 + 8 + 12 + 16 + 11 + 4 = 60
- In total, there are 60 coins.
Considering the cost of $0.25, the probability of each monetary outcome when one coin is chosen is:
![P(X = -0.24) = \frac{9}{60}](https://tex.z-dn.net/?f=P%28X%20%3D%20-0.24%29%20%3D%20%5Cfrac%7B9%7D%7B60%7D)
![P(X = -0.20) = \frac{8}{60}](https://tex.z-dn.net/?f=P%28X%20%3D%20-0.20%29%20%3D%20%5Cfrac%7B8%7D%7B60%7D)
![P(X = -0.15) = \frac{12}{60}](https://tex.z-dn.net/?f=P%28X%20%3D%20-0.15%29%20%3D%20%5Cfrac%7B12%7D%7B60%7D)
![P(X = 0) = \frac{16}{60}](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20%5Cfrac%7B16%7D%7B60%7D)
![P(X = 0.25) = \frac{11}{60}](https://tex.z-dn.net/?f=P%28X%20%3D%200.25%29%20%3D%20%5Cfrac%7B11%7D%7B60%7D)
![P(X = 0.75) = \frac{4}{60}](https://tex.z-dn.net/?f=P%28X%20%3D%200.75%29%20%3D%20%5Cfrac%7B4%7D%7B60%7D)
Hence, the expected value is:
![E(X) = -0.24\frac{9}{60} - 0.2\frac{8}{60} - 0.15\frac{12}{60} + 0\frac{16}{60} + 0.25\frac{11}{60} + 0.75\frac{4}{60}](https://tex.z-dn.net/?f=E%28X%29%20%3D%20-0.24%5Cfrac%7B9%7D%7B60%7D%20-%200.2%5Cfrac%7B8%7D%7B60%7D%20-%200.15%5Cfrac%7B12%7D%7B60%7D%20%2B%200%5Cfrac%7B16%7D%7B60%7D%20%2B%200.25%5Cfrac%7B11%7D%7B60%7D%20%2B%200.75%5Cfrac%7B4%7D%7B60%7D)
![E(X) = \frac{-0.24(9) - 0.2(8) - 0.15(12) + 0(16) + 0.25(11) + 0.75(4)}{60} = 0.0032](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%20%5Cfrac%7B-0.24%289%29%20-%200.2%288%29%20-%200.15%2812%29%20%2B%200%2816%29%20%2B%200.25%2811%29%20%2B%200.75%284%29%7D%7B60%7D%20%3D%200.0032)
You should be expected to win $0.0032 every time you play the game.
A similar problem is given at brainly.com/question/24855677
Answer:
9.5 gallons
Step-by-step explanation:
12.7 x .75
multiplying by .75 is the easiest way to get 3/4 of something