Mathematics: Write an equivalent multiplication expression. than, find the quotient in it s simplest form. use a model to support your response. 1. 1/4 divided by 22. 2/3 divided by 6

Write an equivalent multiplication expression.

Ответ:

gabriellarenolp5x7c0

06.01.2022

Mathematics

Part 1) $\frac{1}{8}$

Part 2) $\frac{1}{9}$

Step-by-step explanation:

we know that

The quotient of a fraction by a whole number is the same that multiply the fraction by the reciprocal of the whole number

$\frac{\frac{a}{b}}{c}=(\frac{a}{b})(\frac{1}{c})$

Part 1) 1/4 divided by 2

$\frac{\frac{1}{4}}{2}=(\frac{1}{4})(\frac{1}{2})=\frac{1}{8}$

Part 2) 2/3 divided by 6

$\frac{\frac{2}{3}}{6}=(\frac{2}{3})(\frac{1}{6})=\frac{2}{18}$

Simplify

$\frac{1}{9}$

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Ответ:

AzuraSchaufler

25.06.2021

Mathematics

a) 0.27% probability that the mean is less than 1995 milliliters.

b) 2002.3 milliliters or more will occur only 10% of the time for the sample of 100 bottles.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem

Normal probability distribution

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.

Central Limit theorem

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