altogether there are 7 marbles in the bag.
put the marbles in fractions, so blue would be 3/7
and red would be 4/7. but becuase you need 2 of the same, you do
3/7 x 3/7 = 9/49
4/7 x 4/7 = 16/49
then add them togther
25/49
if you need it as a percentage, it is
51.020408163265%
37/50 as a decimal is: <span>0.74
</span><span>To get 37/50 converted to decimal, you simply divide 37 by 50.
</span>
Answer:
![P(5)=0.238](https://tex.z-dn.net/?f=P%285%29%3D0.238)
![P(x\geq 6)=0.478](https://tex.z-dn.net/?f=P%28x%5Cgeq%206%29%3D0.478)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3D0.114)
Step-by-step explanation:
In this case we can calculate the probability using the binomial probability formula
![P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D%2Ap%5Ex%2A%281-p%29%5E%7Bn-x%7D)
Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.
(a) exactly five
This is:
![x=5,\ n=10,\ p=0.54.](https://tex.z-dn.net/?f=x%3D5%2C%5C%20n%3D10%2C%5C%20p%3D0.54.)
So:
![P(X=5)=\frac{10!}{5!(10-5)!}*0.54^x*(1-0.54)^{10-5}](https://tex.z-dn.net/?f=P%28X%3D5%29%3D%5Cfrac%7B10%21%7D%7B5%21%2810-5%29%21%7D%2A0.54%5Ex%2A%281-0.54%29%5E%7B10-5%7D)
![P(5)=0.238](https://tex.z-dn.net/?f=P%285%29%3D0.238)
(b) at least six
This is: ![x\geq 6,\ n=10,\ p=0.54.](https://tex.z-dn.net/?f=x%5Cgeq%206%2C%5C%20n%3D10%2C%5C%20p%3D0.54.)
![P(x\geq 6)=P(6) + P(7)+P(8)+P(9) + P(10)](https://tex.z-dn.net/?f=P%28x%5Cgeq%206%29%3DP%286%29%20%2B%20P%287%29%2BP%288%29%2BP%289%29%20%2B%20P%2810%29)
![P(x\geq 6)=0.478](https://tex.z-dn.net/?f=P%28x%5Cgeq%206%29%3D0.478)
(c) less than four
This is: ![x< 4,\ n=10,\ p=0.54.](https://tex.z-dn.net/?f=x%3C%204%2C%5C%20n%3D10%2C%5C%20p%3D0.54.)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3DP%283%29%20%2B%20P%282%29%2BP%281%29%2BP%280%29)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3D0.114)
Answer:
500 pages
Step-by-step explanation:
310 ÷ 62 to find 1% which equals 5. Then multiply 5 by 100 to get 500
Total length of rope 7/8 feet long.
He cuts a piece that is 1/6 of the original length.
Let x = length of the cut piece.
Can you finish?