If f(x) = 5x, what is f–1(x)?

1 answer:

6 0

When you are finding an inverse of a function, you switch the x and the y and solve for the new y. Our y = 5x, when switching x and y will be x = 5y. Now we have to find the new y. Dividing both sides by 5 we get $y= \frac{1}{5} x$ . The really cool thing about functions that are inverses of each other is that their coordinates, (x, y) are switched to. If a point (1, 2) is on f(x), the point (2, 1) is on the inverse. And they always reflect through the line y = x. Just a bit of info.

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A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80

aliya0001 [1]

Answer:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

$X \sim N(80,5)$