Answer:
The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.
Would really appreciate a brainliest! Hope this helped! =)
-2x/5-2=18
-2x/5-2+2=18+2
-2x/5=20
-2x/5x5=20x5
-2x=100
-2x/-2=100/-2
x=-50
Answer:
158
Step-by-step explanation:
Simplify the following:
2×5×3 + 2×5×8 + 2×3×8
5×3 = 15:
2×15 + 2×5×8 + 2×3×8
5×8 = 40:
2×15 + 2×40 + 2×3×8
3×8 = 24:
2×15 + 2×40 + 2×24
2×15 = 30:
30 + 2×40 + 2×24
2×40 = 80:
30 + 80 + 2×24
2×24 = 48:
30 + 80 + 48
| 8 | 0
| 4 | 8
+ | 3 | 0
1 | 5 | 8:
Answer: 158
Answer + Step-by-step explanation:
1) The probability of getting 2 white balls is equal to:
![=\frac{8}{20} \times \frac{7}{19}\\\\= 0.147368421053](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%7D%7B20%7D%20%5Ctimes%20%5Cfrac%7B7%7D%7B19%7D%5C%5C%5C%5C%3D%200.147368421053)
2) the probability of getting 2 white balls is equal to:
![=C^{2}_{5}\times (\frac{8}{20} \times \frac{7}{19}) \times (\frac{12}{18} \times \frac{11}{17} \times \frac{10}{16})\\=0.397316821465](https://tex.z-dn.net/?f=%3DC%5E%7B2%7D_%7B5%7D%5Ctimes%20%28%5Cfrac%7B8%7D%7B20%7D%20%5Ctimes%20%5Cfrac%7B7%7D%7B19%7D%29%20%5Ctimes%20%28%5Cfrac%7B12%7D%7B18%7D%20%5Ctimes%20%5Cfrac%7B11%7D%7B17%7D%20%5Ctimes%20%5Cfrac%7B10%7D%7B16%7D%29%5C%5C%3D0.397316821465)
3) The probability of getting at least 72 white balls is:
![=C^{72}_{150}\times \left( \frac{8}{20} \right)^{72} \times \left( \frac{7}{20} \right)^{78} +C^{73}_{150}\times \left( \frac{8}{20} \right)^{73} \times \left( \frac{7}{20} \right)^{77} + \cdots +C^{149}_{150}\times \left( \frac{8}{20} \right)^{149} \times \left( \frac{7}{20} \right)^{1} +\left( \frac{8}{20} \right)^{150}](https://tex.z-dn.net/?f=%3DC%5E%7B72%7D_%7B150%7D%5Ctimes%20%5Cleft%28%20%5Cfrac%7B8%7D%7B20%7D%20%5Cright%29%5E%7B72%7D%20%20%5Ctimes%20%5Cleft%28%20%5Cfrac%7B7%7D%7B20%7D%20%5Cright%29%5E%7B78%7D%20%20%2BC%5E%7B73%7D_%7B150%7D%5Ctimes%20%5Cleft%28%20%5Cfrac%7B8%7D%7B20%7D%20%5Cright%29%5E%7B73%7D%20%20%5Ctimes%20%5Cleft%28%20%5Cfrac%7B7%7D%7B20%7D%20%5Cright%29%5E%7B77%7D%20%20%2B%20%5Ccdots%20%2BC%5E%7B149%7D_%7B150%7D%5Ctimes%20%5Cleft%28%20%5Cfrac%7B8%7D%7B20%7D%20%5Cright%29%5E%7B149%7D%20%20%5Ctimes%20%5Cleft%28%20%5Cfrac%7B7%7D%7B20%7D%20%5Cright%29%5E%7B1%7D%20%20%2B%5Cleft%28%20%5Cfrac%7B8%7D%7B20%7D%20%5Cright%29%5E%7B150%7D)
![=\sum^{150}_{k=72} [C^{k}_{150}\times \left( \frac{8}{15} \right)^{k} \times \left( \frac{7}{15} \right)^{150-k}]](https://tex.z-dn.net/?f=%3D%5Csum%5E%7B150%7D_%7Bk%3D72%7D%20%5BC%5E%7Bk%7D_%7B150%7D%5Ctimes%20%20%5Cleft%28%20%5Cfrac%7B8%7D%7B15%7D%20%5Cright%29%5E%7Bk%7D%20%20%5Ctimes%20%5Cleft%28%20%5Cfrac%7B7%7D%7B15%7D%20%5Cright%29%5E%7B150-k%7D%5D)