What number is 70% of 45

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

8 0

70% of 45
<span>= 0.7 x 45 </span>
<span>= 31.5</span>

docker41 [41]3 years ago

7 0

$x-\ number\\\\
\frac{x}{45}*100\%=70\%\\\\
\frac{x}{45}=0.7\ \ \ | multiply\ 45\\\\
x=31.5\\\\
31.5\ is\ 70\%\ of\ 45.$

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Answer:

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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

When the distribution is normal, we use 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.

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 $s = \frac{\sigma}{\sqrt{n}}$ .