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Scrat [10]
2 years ago
7

Sandra calculated her taxable income as $39,250. She paid $6,000 in federal withholding tax.

Mathematics
1 answer:
Leokris [45]2 years ago
3 0

Answer:

$56

Step-by-step explanation:

The computation of the amount that sandra would received as a refund is as follows:

= Amount paid in federal withholding tax - minimum tax paid

= $6,000 - $5,944

= $56

The amount left after deducting the minimum tax paid from the amount paid is the refund amount

hence, the last option is correct

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A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
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Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 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:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

Z = \frac{X - \mu}{\sigma}

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

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