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3 years ago

For each pair of functions and below, find and .

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Answer:

1- Inverses .

2 - Not inverses.

Step-by-step explanation:

Notice that

1 -

$f(g(x))= 3/(3/x) = (3x)/3 = x$

Since their composition is the identity, then they are inverses.

2 -

$f(g(x)) = ((-x+4)+4) = -x+8$

Since their composition is not the identity, then they are not inverses.

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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

Karolina [17]

Answer:

0.685 = 68.5% probability that X is less than 30 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

If X has an average value of 26 minutes

This means that $m = 26, \mu = \frac{1}{26}$

What is the probability that X is less than 30 minutes?

$P(X \leq 30) = 1 - e^{-\frac{30}{26}} = 0.685$

0.685 = 68.5% probability that X is less than 30 minutes

8 0

3 years ago

How many solutions to<br> 3x^2 -5x+20=0<br> equation

asambeis [7]

Two solutions I think

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3 years ago

Find the area of the square in centimeters and enter your answer below. Do

stepan [7]

Answer:

Step-by-step explanation:

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3 years ago

What is the smallest value of m such that the LCM ( Lowest Common Factor ) of m and 34 is 374 ?

scoundrel [369]

M would be equal to 2

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4 years ago

Can someone tell me all the properties for each one : :(

nataly862011 [7]

It’s not the best but i tried, i don’t get it but i hope it helped

1 - Subtraction property of equality

2 - simplify

3 - addition property of equality

4 - simplify?

5 - division property of equality

6 - distributive property

7 0

3 years ago