Find x. Write your answer in simplest radical form.

Mathematics

1 answer:

Leokris [45]2 years ago

6 0

Answer:

x = $3\sqrt{11}$

Step-by-step explanation:

Using Pythagorean Theorem we can say;

15² + x² = 18²

225 + x² = 324

x² = 99

x = $\sqrt{99}$

To simplify this in the radical for we can say:

$\sqrt{9*11}$

$\sqrt{9}*\sqrt{11}$

$3\sqrt{11}$

So the answer = $3\sqrt{11}$

Hope this helps!

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Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

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2 years ago

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Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

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:

$\mu = 507, \sigma = 111$