Answer:
38 pages are full
Step-by-step explanation:
Brainlest please
ps. your not dum
Answer:
Lose $0.05
Step-by-step explanation:
There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).
If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:
![P(W) = \frac{4}{38} \\P(L) = 1-P(W) = 1-\frac{4}{38} \\P(L) = \frac{34}{38}](https://tex.z-dn.net/?f=P%28W%29%20%3D%20%5Cfrac%7B4%7D%7B38%7D%20%5C%5CP%28L%29%20%3D%201-P%28W%29%20%3D%201-%5Cfrac%7B4%7D%7B38%7D%20%5C%5CP%28L%29%20%3D%20%5Cfrac%7B34%7D%7B38%7D)
The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)
![EV=\frac{4}{38}*\$8 -\frac{34}{38}*\$1\\EV= -\$0.05](https://tex.z-dn.net/?f=EV%3D%5Cfrac%7B4%7D%7B38%7D%2A%5C%248%20-%5Cfrac%7B34%7D%7B38%7D%2A%5C%241%5C%5CEV%3D%20-%5C%240.05)
On each bet, the player is expected to lose 5 cents ($0.05).
Answer: The one on the right. Each side is multiplied by 6, therefore they are similar.
Answer:
Option 3. 71 ft. is the distance between B and top of the hill.
Step-by-step explanation:
Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.
It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.
We have to find the distance of B from the top of the hill.
Now from ΔACO ![tan 65 = \frac{h}{45-x} = 2.14](https://tex.z-dn.net/?f=tan%2065%20%3D%20%5Cfrac%7Bh%7D%7B45-x%7D%20%3D%202.14)
![h=2.14(45-x)](https://tex.z-dn.net/?f=h%3D2.14%2845-x%29)
From ΔBCO ![tan80 = \frac{h}{x} = 5.67](https://tex.z-dn.net/?f=tan80%20%3D%20%5Cfrac%7Bh%7D%7Bx%7D%20%3D%205.67)
h = 5.67x
Now h = 5.67x = 2.14(45-x)
5.67x = 96.3 - 2.14x
2.14x + 5.67x = 96.3
7.81x = 96.3
x = 96.3/7.81 = 12.33 ft
Therefore ![cos80 = \frac{x}{OB}](https://tex.z-dn.net/?f=cos80%20%3D%20%5Cfrac%7Bx%7D%7BOB%7D)
![0.174 = \frac{12.33}{OB}](https://tex.z-dn.net/?f=0.174%20%3D%20%5Cfrac%7B12.33%7D%7BOB%7D)
![OB = \frac{12.33}{.174}=70.86=71ft.](https://tex.z-dn.net/?f=OB%20%3D%20%5Cfrac%7B12.33%7D%7B.174%7D%3D70.86%3D71ft.)
Therefore 71 ft is the distance between B and the top of the hill.
5cm
13^2-12^2=25
C^2 = 25
C = 5