Answer:
according to long division, the decimal point would move 3 places to the right.
Step-by-step explanation:
729/101 = 7.21782178218
because 7 is over the 9, the decimal point is moving 3 points to the right.
A garph y=2 represents a line parallel to the x axis with the y coordinate equal to 2.
The point which lies on the y=2 graph has its y coordinate equal to 2.
In the given options, (3,2) is the coordinate with the y coordinate equal to 2.
Hence, (3,2) lies on the graph of y = 2.
Option (D) is the answer.
Answer:
6: 12
7: 14
8: 16
Step-by-step explanation:
You do the last (y) term given [18] minus the first (y) term [10] given divided by how many terms it takes to get from the last (y) term given minus the first (y) term given [4]. So the equation looks like this:
(18 - 10)/4= 8/4 = 2
6y + 12 = 3y - 3
Subtract 3y on both sides
3y + 12 = -3
Subtract 12 on both sides
3y = -15
Divide by 3 on both sides
y = -5
Answer:
Step-by-step explanation:
Given that X and Y are independent random variables with the following distributions:
x -1 10 1 2 Total
p 0.3 0.1 0.5 0.1 1
xp -0.3 1 0.5 0.2 1.4
x^2p 0.3 10 0.5 0.4 11.2
Mean of X = 1.4
Var(x) = 11.2-1.4^2 = 9.24
y 2 3 5
p 0.6 0.3 0.1 1
yp 1.2 0.9 0.5 0 2.6
y^2p 2.4 2.7 2.5 0 7.6
Mean of Y = 2.6
Var(Y) = 11.2-1.4^2 = 0.84
3) W=3+2x
Mean of w =3+2*Mean of x = 7.2
Var (w) = 0+2^2 Var(x)= 36.96