Explain the relationship between the number of painters and sculptors enrolled in the art schools?

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The relationship between the number of painters and sculptors enrolled in the art school can be considered a direct variation.

<h3>Direct variation</h3>

A direct variation as implied above means, the linear relationship between the number of painters and sculptors enrolled in the art school are directly proportional.

In essence, as the number of sculptors in the art schools increase, the number of painters increases too. This is because, more painters are needed to paint increasing work volume of the sculptors.

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There is a 10% chance of the mean oil-change time being at or below the sample mean for which there is an area of 0.10 to the

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The probability that a normally distributed data with a mean of μ and a standard deviation of σ is less than a value x is given by:

$P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)$

Given that μ = 16.5 and σ = 0.804984 and that the probability that the <span>mean oil-change time being at or below the sample mean for which there is an area of 0.10 to the left under the normal curve, then:

$P\left(z\ \textless \ \frac{x-16.5}{0.804984} \right)=0.1\\ \\ \Rightarrow P\left(z\ \textless \ \frac{x-16.5}{0.804984} \right)=P(z\ \textless \ -1.281) \\ \\ \Rightarrow\frac{x-16.5}{0.804984}=-1.281 \\ \\ \Rightarrow x-16.5=-1.281(0.804984)=-1.031 \\ \\ x=-1.031+16.5=15.47$ </span>