14.86 is the answer to this question
Are we supposed to guess???
ANSWER
![15 {x}^{2} + 22x - 5](https://tex.z-dn.net/?f=15%20%7Bx%7D%5E%7B2%7D%20%2B%2022x%20-%205)
EXPLANATION
It was given that, the length of the rectangular building is
![(3x + 5) \: meters](https://tex.z-dn.net/?f=%283x%20%2B%205%29%20%5C%3A%20meters)
and the width of the is
![(5x - 1) \: meters](https://tex.z-dn.net/?f=%285x%20-%201%29%20%5C%3A%20meters)
The area of a rectangular building is calculated using the formula for finding the area of a rectangle.
![A = l \times w](https://tex.z-dn.net/?f=A%20%3D%20l%20%5Ctimes%20w)
Since the dimensions are given in terms of x, the area is also a function of x,
![A(x) = (3x +5 )(5x - 1)](https://tex.z-dn.net/?f=A%28x%29%20%3D%20%283x%20%2B5%20%29%285x%20-%201%29)
We expand to get,
![A(x) = 3x(5x - 1) + 5(5x - 1)](https://tex.z-dn.net/?f=A%28x%29%20%3D%203x%285x%20-%201%29%20%2B%205%285x%20-%201%29)
![A(x) = 15 {x}^{2} - 3x + 25x - 5](https://tex.z-dn.net/?f=A%28x%29%20%3D%2015%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%2025x%20-%205)
![A(x) = 15 {x}^{2} + 22x - 5](https://tex.z-dn.net/?f=A%28x%29%20%3D%2015%20%7Bx%7D%5E%7B2%7D%20%2B%2022x%20-%205)
meters square
Answer:
.441320612
or
44.132%
Step-by-step explanation:
This is binomial
fewer than 3 is equal to p(0)+p(1)+p(2)
![p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612](https://tex.z-dn.net/?f=p%280%29%3D%7B19%5Cchoose0%7D%2A.15%5E0%2A%281-.15%29%5E%7B19%7D%3D.045599448%5C%5Cp%281%29%3D%7B19%5Cchoose1%7D%2A.15%5E1%2A%281-.15%29%5E%7B18%7D%3D.152892268%5C%5Cp%282%29%3D%7B19%5Cchoose2%7D%2A.15%5E2%2A%281-.15%29%5E%7B17%7D%3D.242828896%5C%5Cp%280%29%2Bp%281%29%2Bp%282%29%3D.441320612)