Larger number: 24
Smaller number: 12
2x squared + -28 is the answer.
Answer:
(a) 0.932
(b) 0.0653
(c) 0.032
(d) 0.316
(e) 0.251
Step-by-step explanation:
From the table with mean parameter μ = 5, we can compute the following cumulative and density probability
(a)
(cumulative)
(b) P(X = 8) = 0.0653 (density)
(c)
(cumulative)
(d)
(cumulative)
(e) ![P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251](https://tex.z-dn.net/?f=P%285%20%3C%20X%20%3C%208%29%20%3D%20P%28X%20%5Cleq%208%29%20-%20P%28X%20%5Cleq%205%29%20-%20P%28X%20%3D%208%29%20%3D%200.932%20-%200.616%20-%200.0653%20%3D%200.251%20)
Answer:
<h2>It's an identity</h2>
Step-by-step explanation:
![\sin^4x-\sin^2x=\cos^4x-\cos^2x\\\\L_s=\sin^4x-\sin^2x=\sin^2x(\sin^2x-1)=\sin^2x(-\cos^2x)=-\sin^2x\cos^2x\\\\R_s=\cos^4x-\cos^2x=\cos^2x(\cos^2x-1)=\cos^2x(-\sin^2x)=-\sin^2x\cos^2x\\\\L_s=R_s\qquad\bold{CORRECT}](https://tex.z-dn.net/?f=%5Csin%5E4x-%5Csin%5E2x%3D%5Ccos%5E4x-%5Ccos%5E2x%5C%5C%5C%5CL_s%3D%5Csin%5E4x-%5Csin%5E2x%3D%5Csin%5E2x%28%5Csin%5E2x-1%29%3D%5Csin%5E2x%28-%5Ccos%5E2x%29%3D-%5Csin%5E2x%5Ccos%5E2x%5C%5C%5C%5CR_s%3D%5Ccos%5E4x-%5Ccos%5E2x%3D%5Ccos%5E2x%28%5Ccos%5E2x-1%29%3D%5Ccos%5E2x%28-%5Csin%5E2x%29%3D-%5Csin%5E2x%5Ccos%5E2x%5C%5C%5C%5CL_s%3DR_s%5Cqquad%5Cbold%7BCORRECT%7D)
![\text{Used:}\\\\\sin^2x+\cos^2x=1\Rightarrow\left\{\begin{array}{ccc}\cos^2x=1-\sin^2x\\\sin^2x=1-\cos^2x\end{array}\right\Rightarrow\left\{\begin{array}{ccc}-\cos^2x=\sin^2x-1\\-\sin^2x=\cos^2x-1\end{array}\right](https://tex.z-dn.net/?f=%5Ctext%7BUsed%3A%7D%5C%5C%5C%5C%5Csin%5E2x%2B%5Ccos%5E2x%3D1%5CRightarrow%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D%5Ccos%5E2x%3D1-%5Csin%5E2x%5C%5C%5Csin%5E2x%3D1-%5Ccos%5E2x%5Cend%7Barray%7D%5Cright%5CRightarrow%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D-%5Ccos%5E2x%3D%5Csin%5E2x-1%5C%5C-%5Csin%5E2x%3D%5Ccos%5E2x-1%5Cend%7Barray%7D%5Cright)