Answer:
SHAMALAMAMOOMOO :) :) :) :) :)
So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a
chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is
, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:
![\frac{3}{11}\frac{3}{11}\frac{8}{11}=\frac{3*3*8}{11^3}=\frac{72}{1331}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B3%7D%7B11%7D%5Cfrac%7B3%7D%7B11%7D%5Cfrac%7B8%7D%7B11%7D%3D%5Cfrac%7B3%2A3%2A8%7D%7B11%5E3%7D%3D%5Cfrac%7B72%7D%7B1331%7D%20)
Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is
, and the probability of picking the second red ball is
and the probability of picking the green ball is
. We want to multiply thm again, as per the multiplication rule like the last problem.
![\frac{2}{11}*\frac{1}{10}*\frac{1}{9}=\frac{1}{11*5*9}=\frac{1}{495}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B11%7D%2A%5Cfrac%7B1%7D%7B10%7D%2A%5Cfrac%7B1%7D%7B9%7D%3D%5Cfrac%7B1%7D%7B11%2A5%2A9%7D%3D%5Cfrac%7B1%7D%7B495%7D%20)
Answer: 91,445,760 ft³
Step-by-step explanation:
You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:
![V=\frac{s^2h}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bs%5E2h%7D%7B3%7D)
Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.
You know that:
![h=480ft\\s=756ft](https://tex.z-dn.net/?f=h%3D480ft%5C%5Cs%3D756ft)
Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:
![V=\frac{(756ft)^2(480ft)}{3}=91,445,760ft^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B%28756ft%29%5E2%28480ft%29%7D%7B3%7D%3D91%2C445%2C760ft%5E3)
Answer:
6 put of 8, 3/4, or 75%
Step-by-step explanation:
Hope this helps ! :) good luck
1.)
Between year 0 and year 1, we went from $50 to $55.
$55/$50 = 1.1
The price increased by 10% from year 0 to year 1.
Between year 2 and year 1, we went from $55 to $60.50.
$60.50/$55 = 1.1
The price also increased by 10% from year 1 to year 2. If we investigate this for each year, we will see that the price increases consistently by 10% every year.
The sequence can be written as an = 50·(1.1)ⁿ
2.) To determine the price in year 6, we can use the sequence formula we established already.
a6 = 50·(1.1)⁶ = $88.58
The price of the tickets in year 6 will be $88.58.