Iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. what is the iq that corresponds to a z-score of 2.33?

If you are not interested in an exact answer, or if you would like to verify that your answer is in the ballpark, just notice that z=1.96 means that you are ALMOST 2 standard deviations above the mean.  (It's 1.96 standard deviations - but we are talking a rough estimate.)  Two standard deviations is 2 * 15 = 30.  So take the mean and add 100 + 30 = 130.  This is not an exact amount, but you can see that it is close to the answer that Varaia gave you of 129.4.

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