Multiply each X by its corresponding probability P, then add up them up.
E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4
⇒ E[X] = 6.2
The area of the square is:
And the area of the circle is:
![\begin{gathered} Ac=\pi r^2 \\ Ac=\pi\cdot(3\sqrt[]{2})^2 \\ Ac=18\pi \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Ac%3D%5Cpi%20r%5E2%20%5C%5C%20Ac%3D%5Cpi%5Ccdot%283%5Csqrt%5B%5D%7B2%7D%29%5E2%20%5C%5C%20Ac%3D18%5Cpi%20%5Cend%7Bgathered%7D)
The area of one segment is given by:
Answer:
Step-by-step explanation:
Given the function 
, we are to find the inverse of the function and this can be done y following the simple steps:
Step 1: Replace y with 
Step 2: Interchange x with y
Step 3: Make y the subject of the formula;
Step 4: Replace y as 
Hence the inverse of the function is
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
X - 10 = -18
x = -8
ur just solving for x
