0.84% of the graduates will receive the tax break
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
Z = x - μ / σ
Z-scores are used to measure how far a measure is from the mean. We find the p-value associated with this Z-score by looking at the z-score table after finding the Z-score. The p-value represents the probability that the measure is smaller than X, which is the percentile of X. The probability of the measure being greater than X is calculated by subtracting 1 from the pvalue.
μ = $55,000 σ = $6,000
This is the pvalue of Z when X = $39,600. So
z = 39600 - 55000 / 6000
z = -2.5
z = -2.5 has a o value of 0.0084
0.84% of the graduates will receive the tax break.
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The y-intercept of the equation is the value of the variable y or in this case, f(x), when x is equated to zero. Out of all the choices presented in this item, if x is equated to zero, the first two terms will be equal to zero, leaving the third term only for the numerical value of f(x).
From the choices presented, the answer would be f(x) = -x2 + 2x + 4. Thus, the answer is the third choice, C.
This is just 15 molecules of C2 or carbon dioxide