SOLUTION: The S.D of X is 5.What will be the Variance of Y if Y=((3x+10))/(2) Answer=56.25

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Question 1169926: The S.D of X is 5.What will be the Variance of Y if Y=((3x+10))/(2)
Answer=56.25
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Standard deviation of x+=+5
=>delta=+5
We need to find the value of Var%28%283x%2B10%29%2F2%29=Var%28%283%2F2%29x%2B5%29
As we know that
Var%28ax%2Bb%29=x%5E2%2AVar%28x%29+

so, our equation becomes,
Var%28%283%2F2%29x%2B5%29=%283%2F2%29%5E2%2Adelta%5E2+
Var%28%283%2F2%29x%2B5%29=%289%2F4%29%2A%285%29%5E2+
Var%28%283%2F2%29x%2B5%29=%289%2F4%29%2A25
Var%28%283%2F2%29x%2B5%29=225%2F4
Var%28%283%2F2%29x%2B5%29=56.25 -> Answer