Lim (9-x)/(3-√x), x ->9. Correct answer is 6

1 answer:

8 0

$\lim_{x\to 9}\dfrac{9-x}{3-\sqrt x}=\\
\lim_{x\to 9}\dfrac{(9-x)'}{(3-\sqrt x)'}=\\
\lim_{x\to 9}\dfrac{-1}{-\dfrac{1}{2\sqrt x}}=\\
\lim_{x\to 9}2\sqrt x=\\
2\sqrt9=\\
2\cdot3=\\
6$

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Step-by-step explanation:

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Answer:

His jump was of 272.45 inches

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:

$\mu = 263, \sigma = 14$