Final answer:
To find the value of x corresponding to a z-score of +1.50 in a distribution with a mean of 10 and a standard deviation of 12, use the formula x = µ + z * σ, resulting in x = 10 + 1.50 * 12, which calculates to x = 28.
Step-by-step explanation:
You are asking how to find the value of x given that the z-score (z) is +1.50. The z-score represents the number of standard deviations a value is from the mean of a normal distribution. To calculate x using z-score, the formula is:
x = μ + z * σ
Where μ is the mean and σ is the standard deviation. So in this case, where μ = 10 and σ = 12, we can calculate x as follows:
x = 10 + (1.50 * 12) = 10 + 18 = 28
Therefore, the value of x when z = +1.50 is 28.