|x-9|=-4<br> How would I go to solve this equation

To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in

Alexus [3.1K]

Answer:

$\frac{4}{91}$

Step-by-step explanation:

We are told that to avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in appearance.

To find the probability that the traveler will be arrested for illegal possession of narcotics we will use theoretical probability formula.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$

Favorable outcomes will be $_{3}^{6}\textrm{C}$ .

$\text{Favorable outcomes}=_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!3!}$

$\text{Favorable outcomes}=\frac{6!}{3!3!}$

$\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4\cdot3!}{3\cdot 2\cdot 1\cdot3!}$

$\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4}{3\cdot 2}$

$\text{Favorable outcomes}=5\cdot 4=20$

Now let us find number of possible outcomes.

$\text{Number of possible outcomes}=_{3}^{15}\textrm{C}=\frac{15!}{(15-3)!3!}$

$\text{Number of possible outcomes}=\frac{15!}{12!3!}$

$\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13\cdot 12!}{12!\cdot 3\cdot 2\cdot 1}$

$\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13}{ 3\cdot 2\cdot 1}$

$\text{Number of possible outcomes}=5\cdot 7\cdot 13=455$

Upon substituting our values in probability formula we will get,

$\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{20}{455}$

Upon dividing numerator and denominator by 5 we will get,

$\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{4}{91}$

Therefore, the probability that the traveler will be arrested for illegal possession of narcotics is $\frac{4}{91}$ .

6 0

3 years ago

A submarine is 450 feet below sea level. It depends 300 feet. What is it’s new position?

Bumek [7]

750 feet below sea level

6 0

3 years ago

( 15points)Help!!! I need to finish this less than 10 minutes

Sladkaya [172]

Okay! When you are ready, let me know what you need help with. Just comment this answer!

8 0

2 years ago

Read 2 more answers

whats the answer of the problem peter is 3 years older than his sister Anna. if times their combined age is 85 . determine Annas

jeyben [28]

Answer:

Anna is 41 years old.

Step-by-step explanation:

Easiest way to do this is by building a equation,

Lest say Anna's age is $x$ .

Then as Peter is 3 years older than Anna Peter's age should be $x+3$ .

Then the combined ages of the two people is given as 85. So we can write an equation as,

$x+(x+3)=85$

$x+x+3=85$

$2x+3=85$

$2x+3-3=85-3$ (deducting 3 from both sides of the equation)

$2x=82$

$x=41$

As we originally took Anna;s age as $x$

We can say Anna is 41 years old.

4 0

2 years ago

The point ( -3, -5 ) is on the graph of a function. which equation must be true regarding the function?

Y_Kistochka [10]

Answer:-4-5

Step-by-step explanation:

7 0

3 years ago

|x-9|=-4 How would I go to solve this equation