E(X) = 1/7 + 2(1/7) + 3(1/7) + 4(1/7) + 5(1/7) + 6(1/7) + 7(1/7) = 1/7 + 2/7 + 3/7 + 4/7 + 5/7 + 6/7 + 7/7 = 24/7 = 4.
Var(X) = 1/7(1 - 4)^2 + 1/7(2 - 4)^2 + 1/7(3 - 4)^2 + 1/7(4 - 4)^2 + 1/7(5 - 4)^2 + 1/7(6 - 4)^2 + 1/7(7 - 4)^2 = 9(1/7) + 4(1/7) + 1/7 + 1/7 + 4(1/7) + 9(1/7) = 9/7 + 4/7 + 2/7 + 4/7 + 9/7 = 28/7 = 4
standard deviation = sqrt(Var(X)) = sqrt(4) = 2.
Answer:
Given,
Area of the Square = ( x² - 10x + 25 ) m²
We have to find: Length of the side of the square.
Let s be the side of square.
We find length of side of the by using factorization.
According to the question,
s² = x² - 10x + 25
s² = x² - 5x - 5x + 25
s² = x( x - 5 ) - 5( x - 5 )
s² = ( x - 5 )( x - 5 )
s² = ( x - 5 )²
Taking square root on both sides we get,
s = x - 5
Therefore, Expression that represents the length of one side of the square is x - 5.
Step-by-step explanation:
Answer:
B)13 pints
Step-by-step explanation:
SO first we find the unit rate
We know that in 90 minutes (hour and a half), the water leaked 6 pints form 2;30 to 4
Now So we can divide to find unit rate
6/90=1/15
So 1 pint for every 15 minutes
And now we want to know the amount it takes from 2:30 to 6:30 which is 4 hours
40 hours is 240 minutes
SO we can divide now
240/15=16
SO 16 pints leaked but the question asked for remaining water in container
So 29-16 is 13
So B)13
Answer:
Step-by-step explanation:
The surface area of a cylinder is 2pi *rh + 2pir^2, where r and h are radius and height, respectively. (If you want me to explain this, comment down below). Anyways, we can simply plug in 11 and 8 in the formula, so 2* 8*11*pi + 2* pi * 8^2=304pi. Thus, we do 304 * 3.14=954.56.
Answer:
i would say 1.111111111111 you get it it keeps going
