2 years ago

Question 4(Multiple Choice Worth 3 points)

Mathematics

1 answer:

pychu [463]2 years ago

6 0

Side of the <span>square tile = x-3 </span>⇒ Area = (x-3)² = x² - 6x + 9

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A random variable x is normally distributed with a mean of 100 and a variance of 25. Given that x = 110, its corresponding z- sc

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A random variable x is normally distributed with a mean of 100 and a variance of 25. Given that x = 110, its corresponding z- score is 0.40.

Answer: The given z-score is false.

Explanation: We are given:

Mean, $\mu=100$ ,

Variance, $\sigma^{2}=25$

$\therefore\sigma=\sqrt{\sigma^{2}}$

$=\sqrt{25}$

$=5$

The z-score formula is given below:

$z=\frac{x-\mu}{\sigma}$

$=\frac{110-100}{5}$

$=\frac{10}{5}$

$=2$

Therefore, the z-score corresponding x=100 is 2

Therefore, the given z-score = 0.4 is false.

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