For what value of x does the function y=2/3x+1 have the same x and y coordinate

Mathematics

1 answer:

Brut [27]4 years ago

8 0

Answer:

Step-by-step explanation:

$y=\frac{2}{3}x +1$

If $x$ is 3, then

$y =\frac{2}{3}(3) +1$

$y=2+1$

$y=3$

Both $x$ and $y$ equal 3. So, the value of $x$ must be 3 for the function to have the same coordinate for $x$ and $y$ .

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