(9.4 × 10^5) (3.2 × 10^5) =
2 answers:
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Answer:
IQ score of 102.55
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score, measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value, which is also the shaded area under the curve, is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
The shaded area under the curve is 0.5675.
This means that Z has a pvalue of 0.5675.
So, we have to find X when Z = 0.17.
IQ score of 102.55
Answer:
Step-by-step explanation:
So we have the function:
To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:
Add 9 to both sides:
Take the natural log of both sides:
The right side cancels:
Divide both sides by 6:
And we're done!