For a set of values, suppose the mean is 10 and the standard deviation is 2. If each value is multiplied by 9 and 10 is added, what will the new mean and standard deviation be?

5.01

Step-by-step explanation:

Reference angle (θ) = 24.3°

Length of side Opposite to reference angle = 2.06

Let the side length (Hypotenuse) we're looking for be represented as x

Apply SOH:

Sin θ = Opp/Hyp

Substitute the values into the equation

Sin 24.3° = 2.06/x

Multiply both sides by x

x × Sin 24.3° = 2.06/x × x

x × Sin 24.3° = 2.06

Divide both sides by Sin 24.3°

(x × Sin 24.3°)/Sin 24.3° = 2.06/Sin 24.3°

x = 5.01 (nearest hundredth)