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Nata [24]
4 years ago
9

If f(x)=x^2-1, what is the equation for f^-1(x)

Mathematics
1 answer:
Alekssandra [29.7K]4 years ago
8 0
Let y = x^2 - 1
x^2 = y + 1

x = sqrt(y + 1)

so f^-1(x)  = sqrt (x + 1)  (answer)
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A commuter has to cross a train track each day on the way to work. The probability of having to wait for a train is .2. If she h
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Answer:

21 minutes

Step-by-step explanation:

Her expected commute time is given by the probability of having to wait for the train (0.2) multiplied by the commute time in this scenario (25 min), added to the probability of not having to wait for the train (1 - 0.2) multiplied by the commute time in this scenario (20 min). The expected commute time is:

E(X) = 0.2*25+(1-0.2)*20\\E(X) = 21\ minutes

Her expected commute time is 21 minutes.

7 0
3 years ago
A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation th
diamong [38]

8 boys, x girls, 4 pencils each, total number of pencils 52.

The equation can be 4(8+x) = 52

So lets solve:

4(8+x)=52

Divide 4 on both sides:

8 + x=52 / 4

8 + x = 13

Subtract on both sides:

x = 13 - 8

x = 5

There are 5 girls in the class.

Now lets solve to double check:

4(8+5)=52

4(13)=52

52 = 52

Yes!

This means that there are 5 girls in the class.

I hope this helps! :)

4 0
3 years ago
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Answer:

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Step-by-step explanation:

have a good day!

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