Answer:
65%
Step-by-step explanation:
78/120=13/20
13/20=65/100
65/100=65%
The answer I’m pretty sure will be -4. (-4+12-36)/7 = -28/7.
Answer:
![\mathsf {SA = 112 in.^{2} }](https://tex.z-dn.net/?f=%5Cmathsf%20%7BSA%20%3D%20112%20in.%5E%7B2%7D%20%7D)
Step-by-step explanation:
![\textsf {Formula used :}\\\implies \textsf {SA = 2(length * width + width * height + length * height) }](https://tex.z-dn.net/?f=%5Ctextsf%20%7BFormula%20used%20%3A%7D%5C%5C%5Cimplies%20%5Ctextsf%20%7BSA%20%3D%202%28length%20%2A%20width%20%2B%20width%20%2A%20height%20%2B%20length%20%2A%20height%29%20%7D)
![\textsf {Given :}\\\textsf {Length = 5 in.}\\\textsf {Width = 4 in.}\\\textsf {Height = 4 in.}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BGiven%20%3A%7D%5C%5C%5Ctextsf%20%7BLength%20%3D%205%20in.%7D%5C%5C%5Ctextsf%20%7BWidth%20%3D%204%20in.%7D%5C%5C%5Ctextsf%20%7BHeight%20%3D%204%20in.%7D)
![\textsf {Solving :}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BSolving%20%3A%7D)
![\implies \mathsf {SA = 2 (5 * 4 + 4 * 4 + 5 * 4)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%202%20%285%20%2A%204%20%2B%204%20%2A%204%20%2B%205%20%2A%204%29%7D)
![\implies \mathsf {SA = 2 (20 + 16 + 20)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%202%20%2820%20%2B%2016%20%2B%2020%29%7D)
![\implies \mathsf {SA = 2 (56)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%202%20%2856%29%7D)
![\implies \mathsf {SA = 112 in.^{2} }](https://tex.z-dn.net/?f=%5Cimplies%20%5Cmathsf%20%7BSA%20%3D%20112%20in.%5E%7B2%7D%20%7D)
Answer:
The expected value of the random variable with the given probability distribution = 12 .52
Step-by-step explanation:
Given data
x : 0 1 5 10 1000
p(x) : 0.33 0.32 0.24 0.10 0.01
<em>The expected value of the given random variable of given probability distribution</em>
<em>E(X) = ∑ x p ( X = x)</em>
E(X) = 0 × 0.33 + 1 × 0.32 + 5 × 0.24 + 10× 0.10 + 1000×0.01
<em>E (X) = 12.52</em>