In this question, Suzan is taking 5 marble from a bag containing 4 red marbles, 3 green ones, 4 white ones, and 3 purple ones. The total marble in the bag should be: 4+3+4+3= 14. The question is how much the probability to get <span>1 red, 2 green, 1 white and 1 purple.
Ways to take 5 marble out of 14=14C5= 14!/5!9!= </span>2002<span>
</span>Ways to take 1 red marble out of 4= 4C1= 4<span>
</span>Ways to take 2 green marble out of 3= 3C2= 3
Ways to take 1 white marble out of 4= 4C1= 4
Ways to take 1 purple marble out of 3= 3C1= 3
Then the probability would be: 4*3*4*3/ 2002= 144/2002= 72/1001
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Let's simplify step-by-step.
5x^3 + 3 + 2x^3 − x^2 + 1
= 5x^3 + 3 + 2x^3 + −x^2 + 1
Combine Like Terms:
= 5x^3 + 3 + 2x^3 + −x^2 + 1
= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )
= 7x^3 + −x^2 + 4
Answer:
= 7x^3 − x^2 + 4
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16/18=3/n
8/9=0.88888888 recurring
0.8888888 recurring*3=2 2/3
n=2 2/3
All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2 (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2
Answer:
1920 cubes.
Step-by-step explanation
Turn both the mix numbers into improper fractions.
2 2/5 = 12/5
3 1/5 = 16/5
Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.
12/5 * 5/1 = 12
16/5 * 5/1 = 16
2 * 5 = 10
Next you multiply all together to get 1920 cubes.
(I could be missing a step. I apologize if I did.)
