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3 years ago

If f(x)=x+7 and g(x)=1/x, what is (f•g)(x)?

Mathematics

1 answer:

denpristay [2]3 years ago

3 0

Answer:

Step-by-step explanation:

(f•g)(x) = f(g(x)) = f(1/x) = 1/x +7

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A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect

shtirl [24]

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

$P(A) = 0.8*0.01 + 0.1*0.99 = 0.107$

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

$P(A \cap B) = 0.01*0.8 = 0.008$

What is the probability that he is guilty?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748$

0.0748 = 7.48% probability that he is guilty

8 0

3 years ago

Please help me im begging you

nikitadnepr [17]

Answer:

9x + 14

Step-by-step explanation:

You need to add like terms. Add your x's together and your constants together:

5x + 4x + 6 + 8

9x + 14

8 0

3 years ago

Read 2 more answers

The probability of event A occurring is 50%, and the probability of event B occurring is 25%. Events A and B are nonsimultaneous

Misha Larkins [42]

Answer:

The probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur = 0.375

Step-by-step explanation:

The probability of event A occurring = 50% = 0.5

The probability of event B occurring = 25% = 0.25

Events A and B are non simultaneous events.

The probability of event B does not occur = 1 - P(B)

= 1- 0.25

= 0.75

So the probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur

= 0.5*0.75

= 0.375

Thank you.

6 0

3 years ago

Which are the most important task for project planning?

Natasha_Volkova [10]

NB: Please give brainliest to those who ask it.

Answer:

1. Adjusting the budget and communicating with the team assessing the final project.

2. Finishing up old projects.

3. Creating a time line and making the budget updating the schedule.

4. Prioritizing tasks and distributing resources.

5. Scheduling meetings and updating spreadsheets assigning resources to tasks.

<h3>Hope it helps!!</h3><h3>Please mark me as the brainliest!!!</h3>

Thanks!!!!❤❣❤

7 0

4 years ago

The watering can that Carlos uses in his vegetable garden holds 5 of a certain unit of liquid volume. When full, how much water

Sedaia [141]

you should do 5 times 12 plus the 3 it's better to do multiplication it's easier but if you divide that is ok but the dividing is more work

3 0

3 years ago

Read 2 more answers