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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Answer:
8. C) 24.2
9. A) 8.1
Step-by-step explanation:
8. The radius is shown as being 7.8 +4.3 = 12.1, so the diameter x is ...
d = 2r
x = 2(12.1) = 24.2
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9. The unknown leg (y) of the right triangle can be found from the Pythagorean theorem.
y² +11.7² = 12.5² . . . . . the radius is half the diameter
y = √(156.25 -136.89) = √19.36 = 4.4
Then the segment of interest is ...
x + y = 12.5
x = 12.5 -4.4 = 8.1
Multiply 6 and 17 and see if it equals 102
2nd point distance-1st point distant