The table shown below shows some values for functions f(x) and g(x). What is/are the solutions for f(x) =g(x)

Mathematics

1 answer:

deff fn [24]3 years ago

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Suppose SAT Writing scores are normally distributed with a mean of 488488 and a standard deviation of 111111. A university plans

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Answer:

The minimum score required for the scholarship is 644.

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:

$\mu = 488, \sigma = 111$