Answer:
![\frac{1}{45}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B45%7D)
Step-by-step explanation:
We have been given that a jar is filled with 7 red marbles and 3 green marbles. We are asked to find the probability of pulling out 2 green marbles in a row if the marbles are not replaced after they're pulled out.
The probability of pulling 1st green marble will be number of green marbles divided by total marbles.
![P(\text{Green})=\frac{2}{7+3}](https://tex.z-dn.net/?f=P%28%5Ctext%7BGreen%7D%29%3D%5Cfrac%7B2%7D%7B7%2B3%7D)
![P(\text{Green})=\frac{2}{10}](https://tex.z-dn.net/?f=P%28%5Ctext%7BGreen%7D%29%3D%5Cfrac%7B2%7D%7B10%7D)
Since the marble is not replaced, so number of total green marbles will be 1 and total marbles will be 9.
Probability of getting green marble for another time will be
.
To find probability of getting 2 green marbles in a row would be product of both probabilities as:
![\text{Probability of getting 2 marbles in a row}=\frac{2}{10}\times \frac{1}{9}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%202%20marbles%20in%20a%20row%7D%3D%5Cfrac%7B2%7D%7B10%7D%5Ctimes%20%5Cfrac%7B1%7D%7B9%7D)
![\text{Probability of getting 2 marbles in a row}=\frac{1}{5}\times \frac{1}{9}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%202%20marbles%20in%20a%20row%7D%3D%5Cfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cfrac%7B1%7D%7B9%7D)
![\text{Probability of getting 2 marbles in a row}=\frac{1}{45}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%202%20marbles%20in%20a%20row%7D%3D%5Cfrac%7B1%7D%7B45%7D)
Therefore, our required probability would be
.
Answer: V = 8x^3-80x^3 +200x
Domain 0<x<5
Step-by-step explanation:
Dimension of cardboard = 10 by 10
Let the length of box = 10-2x
Let the width of box = 10 - 2x
Let the height of box be =x
Volume = l×w×h
V = (10-2x)×(10-2x)×x
V= 100 - 40x +42 × x
V= 8x^3 -80x^2 +200x
Hey the answer is 2713 cm
Answer:
FGHE
Step-by-step explanation:
They have the same angles size
Answer: Distributive Property
<u>Step-by-step explanation:</u>
![-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14](https://tex.z-dn.net/?f=-2%5Cbigg%28%5Cdfrac%7B3%7D%7B4%7Dx%2B7%5Cbigg%29%5C%5C%5C%5C%5C%5C%5Ctext%7BDISTRIBUTE%20-2%20to%20both%20terms%3A%7D%5C%5C-2%5Cbigg%28%5Cdfrac%7B3%7D%7B4%7Dx%5Cbigg%29%2B%28-2%297%5C%5C%5C%5C%5C%5C%5Ctext%7BSimplify%3A%7D%5C%5C-%5Cdfrac%7B3%7D%7B2%7Dx-14)