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4 years ago

What is the value of this expression? (−8)^3

Mathematics

1 answer:

REY [17]4 years ago

6 0

(-8)^3 is the same as multiplying -8 by itself 3 times:

-8 x -8 x -8:

-8 x -8 = 64

64 x -8 = -512

(-8)^3 = -512

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Step-by-step explanation:

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4 years ago

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3 years ago

Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w

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Answer:

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Step-by-step explanation:

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log₅(3125)

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using the property of log function that

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3 years ago

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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$Z = \frac{X - \mu}{\sigma}$

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .