Answer: 
Step-by-step explanation:
You need to remember the Product of powers property:

Then, knowing this property, now you have to apply the Distributive property. So:

Finally, to simplify this expression, you need to add the like terms.
Therefore, you get that the product is:

Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.
X = 60.
Hope that helps!! :)
She is buying 4 paint tubes. 4 x 8.5 = 34. 34 - 20 = 14, which is less than 54.
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
Answer:
No, not correct
Step-by-step explanation:
Square pyramid volume: (1/3) (base area)(height). In this case,
V = (1/3)*(12 in)^2*(10 in) = 480 in^3 = 480 in^3
Cylinder volume: (base area)*(height). In this case,
V = (3.14)*(6.77 in)^2*(10 in) = 452.12 in^3.
No, Jude is not correct; the 480 in^3 volume of the square pyramid is not the same as the 452.12 in^3 volume of the cylinder.