Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
Answer:
5+12
there is no equals sign in an expression so it is just that
Answer: 1014.2
Step-by-step explanation: you look to the right of 1 and if it is 5 or greater you round up. If it is 4 or less you keep it the same number as it is.
Answer:
-764.28
Step-by-step explanation:
Given the joint cumulative distribution of X and Y as
#First find 
and probability distribution function ,
:
#Have determined the probability distribution unction ,, we calculate the Expectation of the random variable X:
#We then calculate 
:
Hence, the Var(X) is 764.28
Answer:
Width = 160
Length = 110
Step-by-step explanation:
Perimeter is the sum of all the sides
They tell you that the length is 50 m shorter than the width
so L = W - 50
W = W
540 = W + W + W-50 + W-50
540 = 2W + 2(W-50)
540 = 2W + 2W - 100
540 = 4W - 100
640 = 4W
W = 160
L = 160 - 50
L = 110
