Answer:
table cost=275
LCD television cost=325+275
= 600
![ratio = \frac{600}{275} \\ = \frac{120}{55} \\ = \frac{24}{11}](https://tex.z-dn.net/?f=ratio%20%3D%20%20%5Cfrac%7B600%7D%7B275%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B120%7D%7B55%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B24%7D%7B11%7D%20)
Arnold goes to the store to buy some radishes. They cost $5 each. He buys 3. What is the cost of the radishes?
5 X 3 = 15
$15 Dollars.
0.04(30h) is the part of the expression that represents the amount of tax she must pay. This part shows that 0.04 (4%) is the tax rate, 30 is the amount of money needed to pay per hour (h). Taxes are a percentage of the actual price added on to the actual price, so that means that 30h is the actual price, 30 dollars an hour, and 0.04(30h0 are the taxes she has to pay.
2/30 of the total distance was traveled on Sunday.
Answer:
The probability that they each win six games is 0.225.
Step-by-step explanation:
Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.
To find : The probability that they each win six games?
Solution :
Applying binomial distribution,
Here n=12 and p=0.5
![P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}](https://tex.z-dn.net/?f=P%28X%3Dk%29%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D%5Ctimes%20p%5Ek%5Ctimes%20%281-p%29%5E%7Bn-k%7D)
The probability that they each win six games is k=6.
![P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%5Cfrac%7B12%21%7D%7B6%21%2812-6%29%21%7D%5Ctimes%200.5%5E6%5Ctimes%20%281-0.5%29%5E%7B12-6%7D)
![P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes%207%5Ctimes%206%21%7D%7B6%5Ctimes%205%5Ctimes%204%5Ctimes%203%5Ctimes%202%5Ctimes%206%21%7D%5Ctimes%200.015625%5Ctimes%200.015625)
![P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625](https://tex.z-dn.net/?f=P%28X%3D6%29%3D11%5Ctimes%202%5Ctimes%203%5Ctimes%202%5Ctimes%207%5Ctimes%200.015625%5Ctimes%200.015625)
![P(X=6)=0.225](https://tex.z-dn.net/?f=P%28X%3D6%29%3D0.225)
Therefore, The probability that they each win six games is 0.225.