Answer:
angles KKL & FGE
Step-by-step explanation:
Alternate Exterior Angles (AEA) are a pair of angleson the outer side of each of those two lines but on opposite sides of the transversal.
Thus for this question the AEA are:
angles KJL & FGE
Answer:
1. 1340
2. Variance = 47200, standard deviation = 217.25556
Step-by-step explanation:
1-
If X is the random variable that give the number of admissions, then the expected number of admissions<em> E[X]</em> for the fall semester is
1080*P(X=1080)+1380*P(X=1380)+1540*P(X=1540) =
1080*0.4+1380*0.1+1540*0.5 = 1340
2-
The <em>variance</em> is defined as
![\sigma^2=E[X^2]-(E[X])^2}](https://tex.z-dn.net/?f=%5Csigma%5E2%3DE%5BX%5E2%5D-%28E%5BX%5D%29%5E2%7D)
We have
![E[X^2]=(1080)^2*0.4+(1380)^2*0.1+(1540)^2*0.5=1842800](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%281080%29%5E2%2A0.4%2B%281380%29%5E2%2A0.1%2B%281540%29%5E2%2A0.5%3D1842800)
whereas
![(E[X])^2=(1340)^2=1795600](https://tex.z-dn.net/?f=%28E%5BX%5D%29%5E2%3D%281340%29%5E2%3D1795600)
So the variance equals
The <em>standard deviation is just the square root of the variance</em>, so, the standard deviation is
Answer: 26 and 39
Step-by-step explanation:
Let the numbers be x and y . Also , let us take x as the larger number.
From the first statement :
x + y = 65 ...................... equation 1
From the second statement :
x - y = 13 ....................... equation 2
Solving the system of linear equation by elimination method. Let us eliminate y first , then we need to add the two equations to eliminate y , the equation then becomes
2x = 78
x =39
substitute x = 39 into equation 1 , that is
39 + y = 65
y = 65 - 39
y = 26
Therefore , the numbers are 26 and 39
Answer:
7.5r minutes
Step-by-step explanation:
480 divided by 64 = 7.5
