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3 years ago

Quadratic inverse for y=x^2-1

1 answer:

8 0

let's recall that to find the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

$\bf y = x^2-1\implies \stackrel{switcheroo}{x=y^2-1}\implies x+1=y^2\implies \sqrt{x+1}=\stackrel{f^{-1}(x)}{y}$

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Find the coordinates of each point ( I, J, K) after the given transformation.

Andrews [41]

Answer:

Your answer would be I= (2,-1) J= (2,-3) and K= (5,-2)

Step-by-step explanation:

By reversing the coordinates across the x-axis, you will reverse the y coordinate (ex. 4,1 will become 4,-1). If you reverse the coordinates across the y-axis, you will reverse the x coordinate.

6 0

3 years ago

Read 2 more answers

Davison crew can hang 12 sheets of drywall in 15minutes.at this rate how many sheets can they hang in a hour 15minutes =1/4

KengaRu [80]

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3 years ago

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ira [324]

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3 years ago

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tangare [24]

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3 years ago

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d

skelet666 [1.2K]

Answer:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

Step-by-step explanation:

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

$X \sim N(30,7.8)$

Where $\mu=30$ and $\sigma=7.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.80$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

8 0

3 years ago