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Gekata [30.6K]
3 years ago
10

Given the function g(x) = 41x3 + a for some constant a, which describes the inverse function

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

When we have a function g(x) such that:

g(x) = y.

Then the inverse, h(x), must be such that:

h(y) = x.

This means that:

g( h(x) ) = x

h( g(x) ) = x.

In this case, g(x) = 41*x^3 + a.

Then:

g( h(x)) = x = 41*h(x)^3 + a.

Now we can solve it for h(x).

             x - a = 41*h(x)^3

             (x - a)/41 = h(x)^3

            ∛( (x -a)/41 ) = h(x)

h(x) is the inverse function of g(x).

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<h3>How to get the probability?</h3>

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

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And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

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11 Pause
muminat

Answer:

Step-by-step explanation:

Given that:

Batting average = 0.25 after 160 times at bat;

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Step-by-step explanation:

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