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aksik [14]
3 years ago
9

A bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty. Find the

probability that the red tokens are drawn consecutively.
Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

Therefore, the probability is P=1/84.

Step-by-step explanation:

We have a  bag contains 3 red and 6 white tokens. Tokens are randomly selected and removed one at a time until the bag is empty.

We conclude that in a bag have 9 tokens.  

We calculate the probability that the red tokens are drawn consecutively.

We calculate the number of possible combinations:

C_3^9=\frac{9!}{3!(9-3)!}=84\\\\

Number of favorable combinations is 1.

Therefore, the probability is P=1/84.

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Simplify.
Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0
1 year ago
Read 2 more answers
What is the volume of a prism that is 11×13×21?
posledela

Answer:

3003 units^3.

Step-by-step explanation:

Just multiply the dimensions :

11 * 13 * 21

= 143 * 21

= 3003 units^3.

8 0
3 years ago
9)
garri49 [273]

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

3 0
3 years ago
Problem
sattari [20]

Answer:

4.67 hours

Step-by-step explanation:

The computation is shown below:

Given that

There is 14 hours remaining for devoting in a project

Also it must be completed in 3 days

So the number of hours she need to devote each day is

= 14 hours ÷ 3 days

= 4.67 hours

8 0
3 years ago
Enter the percent as a decimal and as a fraction in simplest form.
Alecsey [184]
90 written as a decimal is 0.9

90 written as a fraction is 9/10
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3 years ago
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