Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
Im pretty sure it is 755082
Answer:
it 85 to the third power
Step-by-step explanation:
i gotchu gng
Step-by-step explanation:
This question requires the Pythagorean theorem.
Car A travels north 100km in two hours.
Car B travels west 160km in two hours.
Imagine a triangle the line going up is 100km
the line going left is 160km
the formula for the Pythagorean theorem is
a^2+b^2=c^2
100^2+160^2=c^2
10000+25600=c
35600=c
√35600=c
You can draw a diagram.
Answer:
Width = 8 ft
Length = 53 ft
Height = 9 ft
Step-by-step explanation:
Let width be x
Length will be 8x-11
Height will be x + 1
Volume = width x height x length
=
x * (8x-11) * (x+1) = 3816
(8x^2 - 11x) * (x+1) = 3816
8x^3 + 8x^2 - 11x^2 - 11x = 3816
8x^3 -3x^2 - 11x = 3816
8x^3+64x^2-61x^2-488x +477x-3816= 0
8x^2 (x-8)+61x(x-8)+488(x-8)
(x-8)(8x^2 + 61x + 477) = 0
x-8
8x^2 + 61x + 477 = 0
Solve the equations:
x = 8
Length = 8x -11 = 64-11 = 53
Height = 8+1 = 9