Var (x)=2,if u=5x+2,then var (u) is equal to ? ?
i know its 50. but how to reach the final answer

Var(U)=50

Step-by-step explanation:

Given

Var(X) = 2

We have to find

Var(U) when U = 5x+2

So,

When a variable is multiplied with an integer, the variance of that variable is multiplied with the square of that number i.e. Var(aX) = a^2 Var(X) This the property of variance.

As here x is multiplied with 5,

Var(5x) = 5^2 var(X) = 25*2 = 50

If the same integer is added to all the data values, there is no change in variance that is why the +2 will not affect the variance of U ..

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1