Answer:
Step-by-step explanation:
The PDF of X is
The PDF of Y is
The means of X and Y are respectively,
so we can see that the larger the parameter, the smaller the mean. Hence the PDF of Z = min(X, Y) is an exponential with the largest parameter of the two.
Therefore, the PDF of Z is
Answer:
the question is incomplete, so I looked for a similar one:
<em>After the release of radioactive material into the atmosphere from a nuclear power plant, the hay was contaminated by iodine 131 ( half-life, 8 days). If it is all right to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay? </em>
iodine's half life (we are given x, we need to find b):
0.5A₀ = A₀eᵇˣ
x = 8 days
we eliminate A₀ from both sides
0.5 = eᵇ⁸
ln 0.5 = ln eᵇ⁸
-0.69315 = b8
b = -0.69315 / 8 = -0.08664
since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):
0.1A₀ = A₀eᵇˣ
0.1 = eᵇˣ
ln 0.1 = bx
where b = -0.08664
x = ln 0.1 / -0.08664 = -2.302585 / -0.08664 = 26.58 days
Answer:
input: x+4 output (x,y)
-2 -2 + 4 =2 2 (-2,2)
0 0 + 4 = 4 4 (0,4)
2 2 + 4 = 6 6 (2,6)
...
Step-by-step explanation:
continue by plugging in x to the equation, x is input and y is output
then just plot your (x,y) points on the graph.
Answer:
Step-by-step explanation:
y = 3x - 5
m₁ = 3
The required line is perpendicular to y = 3x - 5. Let the required line's slope be m₂
m₂ = -1/m₁
m₂ = -1/3
Point (9,6)
Equation of line: y - y₁ = m(x - x₁)
y - 6 = (-1/3)(x - 9)
Divide 25 by 1 2/3 or 1.66 and then round down to get 15
