Answer:
0.7026
Step-by-step explanation:
Let X denote the lifetime of light bulb. Given
where the mean is
.
Recall that,
![\displaystyle P(X>x) = 1 - \int_0^x e^{-\lambda x} = 1 - (1 - e^{-\lambda x} = e^{-\lambda x}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20P%28X%3Ex%29%20%3D%201%20-%20%5Cint_0%5Ex%20e%5E%7B-%5Clambda%20x%7D%20%3D%201%20-%20%281%20-%20e%5E%7B-%5Clambda%20x%7D%20%3D%20e%5E%7B-%5Clambda%20x%7D%20)
![\displaystyle P(X>220 | X>100) = \frac{P(X>220,X>100)}{P(X>100)} = \frac{e^{-\lambda \times 220}}{e^{-\lambda \times 100}} = \frac{0.5236}{0.7452} = 0.7026](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28X%3E220%20%7C%20X%3E100%29%20%3D%20%5Cfrac%7BP%28X%3E220%2CX%3E100%29%7D%7BP%28X%3E100%29%7D%20%3D%20%5Cfrac%7Be%5E%7B-%5Clambda%20%5Ctimes%20220%7D%7D%7Be%5E%7B-%5Clambda%20%5Ctimes%20100%7D%7D%20%3D%20%5Cfrac%7B0.5236%7D%7B0.7452%7D%20%3D%200.7026)
<span>(14x^2+21x) = 7x(2x + 3)
A= L * W
but L = 7x so W = </span>2x + 3
<span>
answer: </span><span>width is (2x +3) feet</span><span>
</span>
Answer:
![5x^{2} -18x-8](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20-18x-8)
Step-by-step explanation:
The formula for area of a rectange is lw, where l is length and w is width. Since x-4 and 5x+2 are the sides, we can multiply them together to give us the area. We do (x-4)(5x+2). We use the FOIL method (First Outside Inside Last) and get 5x^2-18x-8.
Not too sure if i can tell u much but the answer on my test is B
Answer:
44 and 110
Step-by-step explanation:
The ratio of the 2 numbers = 2 : 5 = 2x : 5x ( x is a multiplier ) , thus
difference = 5x - 2x = 3x , then
3x = 66 ( divide both sides by 3 )
x = 22
Thus
2x = 2 × 22 = 44
5x = 5 × 22 = 110
The 2 numbers are 44 and 110