Answer:
Y=-4x+ 12
Step-by-step explanation:
The x value has to go back 4 times to get to 0 and the slope is - 4 so it would be 12 hope this helps! :)
Answer:
for a its 9, 3, -6, x<-6
Step-by-step explanation:
Answer: Mean = 4.8 and variance = 5.16
Step-by-step explanation:
Since we have given
Let X be the number of storms occur in next year
Y= 1 if the next year is good.
Y=2 if the next year is bad.
Mean for good year = 3
probability for good year = 0.4
Mean for bad year = 5
probability for bad year = 0.6
So, Expected value would be
![E[x]=\sum xp(x)\\\\=3\times 0.4+5\times 0.6\\\\=1.2+3\\=4.2](https://tex.z-dn.net/?f=E%5Bx%5D%3D%5Csum%20xp%28x%29%5C%5C%5C%5C%3D3%5Ctimes%200.4%2B5%5Ctimes%200.6%5C%5C%5C%5C%3D1.2%2B3%5C%5C%3D4.2)
Variance of the number of storms that will occur.
![Var[x]=E[x^2]-(E[x])^2](https://tex.z-dn.net/?f=Var%5Bx%5D%3DE%5Bx%5E2%5D-%28E%5Bx%5D%29%5E2)
![E[x^2]=E[x^2|Y=1].P(Y=1)+E[x^2|Y=2].P(Y=2)\\\\=(3+9)\times 0.4+(5+25)\times 0.6\\\\=12\times 0.4+30\times 0.6\\\\=4.8+18\\\\=22.8](https://tex.z-dn.net/?f=E%5Bx%5E2%5D%3DE%5Bx%5E2%7CY%3D1%5D.P%28Y%3D1%29%2BE%5Bx%5E2%7CY%3D2%5D.P%28Y%3D2%29%5C%5C%5C%5C%3D%283%2B9%29%5Ctimes%200.4%2B%285%2B25%29%5Ctimes%200.6%5C%5C%5C%5C%3D12%5Ctimes%200.4%2B30%5Ctimes%200.6%5C%5C%5C%5C%3D4.8%2B18%5C%5C%5C%5C%3D22.8)
So, Variance would be
Hence, Mean = 4.8 and variance = 5.16
Given that a mosaic at the art museum contains 2,889 tiles. Now we have to design a plan to divide the tiles into equal sections.
Let the number of sections in which equal tiles can be distributed = x
so that means x must divide total number of tiles 2889 evenly.
to divide 2889, evenly, x must be a divisor of 2889.
Divisors of 2889 are 1, 3, 9, 27, 107, 321, 2889.
So that means number of possible sections in which equal number of tiles can be distributed are 1, 3, 9, 27, 107, 321, 2889.
Answer:
162
Step-by-step explanation:
180 - 18 = 162
A supplementary angle equals 180 degrees
