One eighth of a number ,increased by 20, is 32.Find the number

1 answer:

7 0

X - the number

$\frac{1}{8} x +20=32 \\
\frac{1}{8}x=32-20 \\
\frac{1}{8}x=12 \\
x=12 \times 8 \\
x=96$

The number is 96.

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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:

$\mu = 28, \sigma = 7$