What is the value of expression?

Mathematics

2 answers:

Andrei [34K]4 years ago

5 0

$Use:a^n\cdot a^m=a^{n+m}\\\\5^{-8}\cdot5^{-4}=5^{-8+(-4)}=5^{-12}\\\\Answer:\boxed{D}$

AURORKA [14]4 years ago

3 0

5 ^ ( - 8 - 4 ) = 5 ^ ( - 12 ) D.

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Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to o

vladimir2022 [97]

Answer:

x = 63.6

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 and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.

In this problem, we have that:

$\mu = 38, \sigma = 11$