Answer:
simplify: 2.5 =(y+5)
reorder the terms: 2.5y=(5+y)
remove the parenthesis: 2.5y=5+y
solving: 2.5y=5+y
move all terms containing y to the left, all other terms to the right.
add -1y to each side of the equation
2.5y+-1y=5+y+-1y
combine like terms 2.5y+-1y=1.5y
1.5y=5+y+-1y
combine like terms: y+-1y=0
1.5y=5+0
1.5y=5
divide each side by 1.5
y=3.333333333
simplifying
y=3.333333333
Step-by-step explanation:
Answer:

Step-by-step explanation:
Hello,

hope this helps
Answer:
A= 30
Step-by-step explanation:
This requires several steps.
First, you need to find the 2 other missing angles.
One can be found easily by substracting 130 from 180
so 180-130 = 50
The other angle is the same as 8x+4
Now set up your equation
180=3x-6 + 8x+4 +50
180 = 3x + 8x -6 + 4 +50
180+6-4-50 = 11x
132 = 11x
132/11 = x
12 = x
Now plug in 12 for x in your angle A
A=3x-6
A=3 * 12 - 6
A=36 - 6
A= 30
You have to put the number in the graph
Answer:
A. E(x) = 1/n×n(n+1)/2
B. E(x²) = 1/n
Step-by-step explanation:
The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as
P(x) = {1/n, x = 1,2...n}
Therefore,
Expectation of X
E(x) = summation {xP(×)}
= summation {X×1/n}
= 1/n summation{x}
= 1/n×n(n+1)/2
= n+1/2
Thus, E(x) = 1/n×n(n+1)/2
Value of E(x²)
E(x²) = summation {x²P(×)}
= summation{x²×1/n}
= 1/n