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)
![=\displaystyle\int_{90}^{92} f(x) dx\\\\=\displaystyle\int_{90}^{92} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{90}^{92} = \frac{1}{15}(92-90) = 0.133](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint_%7B90%7D%5E%7B92%7D%20f%28x%29%20dx%5C%5C%5C%5C%3D%5Cdisplaystyle%5Cint_%7B90%7D%5E%7B92%7D%20%5Cfrac%7B1%7D%7B15%7D%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B15%7D%5Bx%5D_%7B90%7D%5E%7B92%7D%20%3D%20%5Cfrac%7B1%7D%7B15%7D%2892-90%29%20%3D%200.133)
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.
16z because you’re adding 4z four times
Lifting a piece of furniture and moving it to the right. Since all of the forces aren't going the same direction, no work is being done.
We are given with the mathematical expression <span>sinx=cos(48) and is asked in the porblem to determine the value of variable x. In this case, we solve first cos 48 which is equal to -0.64. to determine x, we use inverse sin, that is sin-1 (-0.64) = x; x= 42 degrees. x is equal also to 90-48 according to complementary postulate.</span>
Answer: the Jones family paid $164
Step-by-step explanation:
Let x represent the one time charge that smith lake boat rentals charge for cleaning.
The bengal family rented a boat from 11 am- 6:30pm and paid $226.50. This means that the number of hours for which they rented the boat is
11 - 6:30/= 7.5 hours
Therefore,
25 × 7.5 + x = 226.5
187.5 + x = 226.5
x = 226.5 - 187.5
x = $39
If the jones family rented a boat from 8am-1pm, the number of hours would be 5 hours.
The amount that they paid is
39 + 5 × 25 = 39 + 125
= $164
