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Alborosie
3 years ago
13

A bag has 10 yellow poker chips and 4 green poker chips. If you reach in to randomly draw 5 chips, what is the probability of se

lecting exactly 3 yellow chips and 2 green chips?
Mathematics
1 answer:
Vilka [71]3 years ago
6 0
In the study of probability, you find the chances of an event to happen likely out of the total number of possibilities. Thus, probabilities are always presented as part of a whole: in terms of fractions or percentages. 

In this problem, the denominator for the probability would be the total number of possibilities. In combination probability, we use the equation: n!/r!(n-r)!, where 'r' is the number of like things out of 'n' objects. So, the denominator would be 5 drawn chips out of a total of 14 chips. So,

denominator = 14!/5!(14-5)! = 2,002 ways

For the numerator, we multiply the combination for 3 out of 10 chips and 2 out of 4 chips. 

Numerator = 10!/3!(10-3)! × 4!/2!(4-2)!
Numerator = 720 ways

Thus, the probability is

Probability = 720/2002 = 360/1001 or 35.96%
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When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
3 years ago
What is 4/17 as a decimal
Stells [14]
<span><span>Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

</span><span>Step 2: Multiply both top and bottom by that number.

</span><span>Step 3.Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)</span></span><span> 

Hope i helped :[)</span>
6 0
3 years ago
I need help with fractions :(
bearhunter [10]

Answer:

x = 0, Need the steps?

STEPS:

9x - 7 = -7 (Original Problem)

9x = 0 (Add 7 to both sides)

x = 0 (Divide both sides by 9)

8 0
3 years ago
Read 2 more answers
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on
xxTIMURxx [149]

Answer:

1) The amount the family spent on pizza is $300

2) The amount the family spent on soda is $43.2

3) The amount the family spent in all is $343.2

Step-by-step explanation:

The number of pizzas bought by the family = 24

The price of each pizza = $12.50

The number of bottles of soda the family bought = 36

The price of each bottles of soda = $1.20

1) The amount the family spent on pizza = 24 × $12.50 = $300

2) The amount the family spent on soda = 36 × $1.20 = $43.2

3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda

∴ The amount the family spent on soda = $300 +$43.2 = $343.2.

7 0
2 years ago
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back ( you don
Setler [38]

Answer:

49 different ways

Step-by-step explanation:

If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.

Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.

So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.

N(total) = N(up) * N(down)

N(total) = 7 * 7

N(total) = 49 different ways

Brainliest pls and tysm!

8 0
2 years ago
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