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GalinKa [24]
2 years ago
8

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact p

robability that all three marbles drawn will be green?
Mathematics
1 answer:
LiRa [457]2 years ago
6 0

Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given the bag contains  3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,

\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198

Hence, the exact probability that all three marbles are drawn will be green is 0.02198.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

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NikAS [45]
The total number of gifts = x+y.
The inequality is:
x+y  \geq 24

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:
x+0.5y  \leq 20

Without graphing you can solve system by using substitution:
y = 24 - x  \\  \\ x + 0.5(24-x) = 20   \\  \\ 0.5x +12 = 20  \\  \\ x = 16 \\  \\ y = 24-16 = 8

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.

If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

24-x  \leq y  \leq 40 -2x \\  \\ x \leq 16

This is complete solution which gives all possible combinations.
(Graph is Attached)

6 0
3 years ago
-(y + 2) + 8 = 3<br> I’m so confused on this, please send help
Hoochie [10]

Don't be worried friend :)

-(y + 2) + 8 = 3

=> -(y + 2) = -5

=> y + 2 = 5

=> y = 3

7 0
3 years ago
can someone please help me solve these problems I did accept it on another paper I'm trying to see if I got them all correct I n
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3 \div 30 = 10
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7 0
3 years ago
S^2 - 10 s = -8 t = 3/4
RideAnS [48]

Answer:

Step-by-step explanation:

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4 0
3 years ago
−4 2/5 ÷ (−5)<br> divide<br> a) −22/25<br><br> b) −8/25<br><br> c) 8/25<br><br> d) 22/25
prohojiy [21]

Answer:

the answer to your question is 22/25 , hope this helps :)

6 0
3 years ago
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