Answer:
(1/3 - 5/6) / 5/6
You want to make 1/3 and 5/6 have the same denominator so you multiply both the numerator and denominator of 1/3 by 2 to get 2/6. You plug that back into your equation to get: (2/6 - 5/6) / 5/6. 2/6 - 5/6 is -3/6. -3/6 divided by 5/6 is -3/6 multiplied by 6/5 which is -3/5.
The answer is 2(24)= 2(20+4)
Both answer is equivalent to 48
Answer:
a) 0.4
b) 0.133
c)
Step-by-step explanation:
We are given the following information in the question:
The load is said to be uniformly distributed over that part of the beam between 90 and 105 pounds per linear foot.
a = 90 and b = 105
Thus, the probability distribution function is given by

a) P( beam load exceeds 99 pounds per linear foot)
P( x > 99)
![=\displaystyle\int_{99}^{105} f(x) dx\\\\=\displaystyle\int_{99}^{105} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{99}^{105} = \frac{1}{15}(105-99) = 0.4](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint_%7B99%7D%5E%7B105%7D%20f%28x%29%20dx%5C%5C%5C%5C%3D%5Cdisplaystyle%5Cint_%7B99%7D%5E%7B105%7D%20%5Cfrac%7B1%7D%7B15%7D%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%5Bx%5D_%7B99%7D%5E%7B105%7D%20%3D%20%5Cfrac%7B1%7D%7B15%7D%28105-99%29%20%3D%200.4)
b) P( beam load less than 92 pounds per linear foot)
P( x < 92)
c) We have to find L such that
![\displaystyle\int_{L}^{105} f(x) dx\\\\=\displaystyle\int_{L}^{105} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{L}^{105} = \frac{1}{15}(105-L) = 0.4\\\\\Rightarrow L = 99](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7BL%7D%5E%7B105%7D%20f%28x%29%20dx%5C%5C%5C%5C%3D%5Cdisplaystyle%5Cint_%7BL%7D%5E%7B105%7D%20%5Cfrac%7B1%7D%7B15%7D%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%5Bx%5D_%7BL%7D%5E%7B105%7D%20%3D%20%5Cfrac%7B1%7D%7B15%7D%28105-L%29%20%3D%200.4%5C%5C%5C%5C%5CRightarrow%20L%20%3D%2099)
The beam load should be greater than or equal to 99 such that the probability that the beam load exceeds L is 0.4.
Answer:
4,1
Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1
Answer:
Step-by-step explanation: