Simplify the equation? Step by step.

Mathematics

1 answer:

slava [35]3 years ago

4 0

Multiply 10 and 1/5. the denominator can be written as x^8/2
=(x^10/5)/(x^8/2)
simplify the exponent
=(x^2)/(x^4)
numerator subtract denominator
=1/x^2
remove fraction by making the exponent negative
= x^-2
final answer is x to the power of negative 2

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The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

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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:

$\mu = 303, \sigma = 13$