Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign
Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- One of the two sides of the coin are heads.
- 2 of the 6 sides of the dice are 3 or 6.
Hence, since the coin and the dice are independent, the <em>probability </em>of winning is:
![p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%5Cfrac%7B2%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B6%7D)
The expected value is the <u>sum of each outcome multiplied by its respective probability</u>.
In this problem:
probability of earning $30.
probability of losing $6.
Then:
![E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0](https://tex.z-dn.net/?f=E%28X%29%20%3D%2030%5Cfrac%7B1%7D%7B6%7D%20-%206%5Cfrac%7B5%7D%7B6%7D%20%3D%205%20-%205%20%3D%200)
The expected profit of one round of this game is of $0.
A similar problem is given at brainly.com/question/24855677
Answer:
The amount of white fabric to coloured fabric as a ratio is 20:11
Step-by-step explanation:
We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.
Length of colored fabric = 11 mm
Length of White fabric = 2 cm
1 cm = 10 mm
2 cm = 20 mm
So, length of white fabric = 20 mm
So, Ratio of the amount of white fabric to coloured fabric = ![\frac{20}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B11%7D)
Hence the amount of white fabric to coloured fabric as a ratio is 20:11
Answer:
A
Step-by-step explanation:
surface area = length x width x depth
so 5x5x7=175.
Answer:
n=5.285
Step-by-step explanation:
10/3=n-1/n-4
Cross multiply
3(n-1)=10(n-4)
3n-3=10n-40
Collect like terms
-3+40=10n-3n
37=7n
Divide both sides by 7
n=5.285