Answer:
9,600,000,000 F (y)=5000
Step-by-step explanation:
hope for help po
Answer:
1 hour 42 minutes
Step-by-step explanation:
Given :
Time table :
BRIGHTON _____ LONDON
0718 __________ 0900
0725 __________0832
0728 __________ 0848
Tine taken by the 0718 train :
Arrival time, London - Departure time
09:00 - 07:18
2 hours (60 - 18) minutes
Answer:
Amy
Step-by-step explanation:
amy completed a longer distance in a shorter amount of time
rather than john completed a shorter distance in a longer time
Answer:
A. the product of complex conjugates is a difference of two squares and is always a real number
Step-by-step explanation:
Given a complex number z1 = x+iy where x is the real part and y is the imaginary part.
The conjugate of a complex number is the negative form of the complex number z1 above i.e z2= x-iy (The conjugate is gotten by mere changing of the plus sign in between the terms to a minus sign.
Taking the product of the complex number and its conjugate will give;
z1z2 = (x+iy)(x-iy)
z1z2 = x(x) - ixy + ixy - i²y²
z1z2 = x² - i²y²
.since i² = -1
z1z2 = x²-(-1)y²
z1z2 = x²+y²
The product gave a real function x²+y² since there is no presence of complex number 'i'
It can also be seen that the product of the complex numbers z1z2 is like taking the difference of two square. An example of difference of two square is that of two values a and b which is (a+b)(a-b).
From the above solution, it can be concluded that the product of complex conjugates is a difference of two squares and is always a real number.
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
