Answer:
2/27
Step-by-step explanation:
This is a probability question and we are asked to estimate a particular probability. We proceed as follows:
The total number of sweets is given as 8 + 9+ 11= 28 sweets
He takes out a sweet to eat, the probability of this being a red sweet would be P(r1) = 8/28 = 2/7
Now he takes another sweet, we are asked to calculate the probability that this sweet is also red. Now after taking the first sweet, the number of sweets is now 27, while the number of red sweets is now 7. Hence the probability of having a red sweet taken in the second case would be p(r2) = 7/27
Now, the probability of both being red sweets can be calculated by multiplying both = 7/27 * 2/7 = 2/27
Answer:
5.33333333333333
Step-by-step explanation:
32 divided by 6
6 fits 5 times into 32
6*5 = 30
2 is left, 2 is 1/3 of 6.
1/3 = 0.33333333333
So, its 5.333
The answer is “B” because a function happens when one input has exactly one output, or if each x-value has one y-value
Answer:
The height of the tower is 2250 meters
Step-by-step explanation:
let's say that when the angle of elevation is x°, the distance to the base of the tower is 'd'. So when the angle of elevation is y°, the distance is d+150.
The tangent of the angle of elevation is the height of the tower (opposite side) over the horizontal distance to the tower (adjacent side).
Then we have that:
angle of elevation x°:
![tan(x) = 3/4](https://tex.z-dn.net/?f=tan%28x%29%20%3D%203%2F4)
![height / d = 3/4](https://tex.z-dn.net/?f=height%20%2F%20d%20%3D%203%2F4)
![d = (4/3)*height](https://tex.z-dn.net/?f=d%20%3D%20%284%2F3%29%2Aheight)
angle of elevation y°:
![tan(y) = 5/7](https://tex.z-dn.net/?f=tan%28y%29%20%3D%205%2F7)
![height / (d+150) = 5/7](https://tex.z-dn.net/?f=height%20%2F%20%28d%2B150%29%20%3D%205%2F7)
![7*height = (d+150) * 5](https://tex.z-dn.net/?f=7%2Aheight%20%3D%20%28d%2B150%29%20%2A%205)
![7*height = 5d+750](https://tex.z-dn.net/?f=7%2Aheight%20%3D%205d%2B750)
![7*height = (20*height/3)+750](https://tex.z-dn.net/?f=7%2Aheight%20%3D%20%2820%2Aheight%2F3%29%2B750)
![21*height = 20*height+2250](https://tex.z-dn.net/?f=21%2Aheight%20%3D%2020%2Aheight%2B2250)
![height = 2250\ meters](https://tex.z-dn.net/?f=height%20%3D%202250%5C%20meters)