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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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yawa3891 [41]
Scale factor = new length/old length

scale factor = 10/2.5 = 4

The scale factor is 4.
7 0
3 years ago
Read 2 more answers
PLEASE HELPPPPPP!!!!
lord [1]

Answer:

So I am not sure my answers are correct but I hope they help:

A. y = 6x+14

B. 6 people

8 0
3 years ago
Number 4 I have no idea how to do.
natta225 [31]

Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,

The volume of Hemisphere = (2/3)πr³

200,000 = (2/3) × π × R³

R = 45.7

The area of the base of the hemisphere is,

Area of the base = πR² = π×(45.7)  = 6561.185 meters²

Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,

Cost of glass = 6561.185 × 0.20 = $1312.24

Hence, the cost of the glass is $1312.24.

Learn more about Volume:

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3 0
2 years ago
1. Which of the following describes the end behavior of the function ƒ(x) = x^4 + 3x^3 – 2x + 7?
snow_tiger [21]

Hello, when x tends to \infty the term with the highest degree will lead the behaviour.

In other words.

\displaystyle \lim_{x\rightarrow+\infty} {x^4+3x^3-2x+7}\\\\=\lim_{x\rightarrow+\infty} {x^4}\\\\=+\infty\\\\\\\displaystyle \lim_{x\rightarrow-\infty} {x^4+3x^3-2x+7}\\\\=\lim_{x\rightarrow-\infty} {x^4}\\\\=+\infty

So, the answer B is correct.

Thank you.

6 0
3 years ago
What is the solution to log 5 (x+30)= 3
Free_Kalibri [48]

Answer:

x = 95

Step-by-step explanation:

Using the rule of logarithms

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Given

log_{5}(x + 30) = 3, then

x + 30 = 5³ = 125 ( subtract 30 from both sides )

x = 95

7 0
3 years ago
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