Answer:
E
Step-by-step explanation:
11x-4<15
11x<11
x<1
12x-7>-25
12x>-18
x>-3/2
x<1 or x>-3/2, that covers the whole x-axis domain
Answer: A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that,
f(x, y) = xe^−x(1 + y) x ≥ 0 and y ≥ 0
It is f(x, y)= 0 otherwise
To find probability of life time, we will take the double integral of the function with respect to X and Y
Y ranges from 0 to ∞
X exceed 5, so it ranges from 5 to ∞
∫ ∫ f(x, y) dxdy
∫ ∫ xe^−x(1 + y) dxdy
∫ ∫ x•e^(−x -xy) dxdy
Separating the exponential
∫ ∫ x•e^(−x) • e^(-xy) dxdy
Integrating with respect to y and keeping x as a constant.
∫ x•e^(−x) • e^(-xy) / -x dx
∫ - e^(−x) • e^(-xy) dx y = 0 to y=∞
∫ - e^(−x) • [e^(-∞) - e^(0) ]dx
∫ - e^(−x) • [ 0 - 1] dx
∫ - e^(−x) • -1 dx
∫ e^(−x) dx
Now integrating this
e^(-x) /-1 from x=5 to x=∞
-e^(-x) from x=5 to x=∞
- [ e^(-∞) - e^(-5)]
- (0-e^(-5))
- - e^(-5)
e^(-5) = 0.006738
To 3d.p =0.007
Then probability that the life time X exceed 5 is 0.007
Answer:
k= 1 mile per minute
Step-by-step explanation:
There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y.
The table representing this information is given below:
The equation of proportionality is given as: y=kx
When x=8, y=8
Substituting we have:
8=8k
Divide both sides by 8
k=1
Therefore, the constant of proportionality, k= 1 mile per minute
Answer:
3x + 6 = y
Step-by-step explanation: