Answer:
BC = 50
Step-by-step explanation:
BC = AD in a parallelogram
4x-10 = 3x+5
Subtract 3x from each side
4x-3x-10 = 3x-3x+5
x-10 = 5
Add 10 to each side
x-10+10 = 5+10
x = 15
BC = 4x-10 = 4*15-10 = 60-10 = 50
Answer:
40
Step-by-step explanation:
2% of 400 is 8
400 x 0.02 = 8
10% of 400 is 40
Answer: 
Step-by-step explanation:
Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.
Proportion of success : 
Sample size taken by customs official : n= 3
Let x be a binomial variable that represents the tablets in the bottle.
Using Binomial probability formula :-

The probability that the traveler will be arrested for illegal possession of narcotics =
![1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}](https://tex.z-dn.net/?f=1-%5E3C_0%28%5Cdfrac%7B2%7D%7B3%7D%29%5E0%281-%5Cdfrac%7B2%7D%7B3%7D%29%5E3%5C%5C%5C%5C%3D1-%281%29%281%29%28%5Cdfrac%7B1%7D%7B3%7D%29%5E3%5C%20%5B%5Cbecuase%20%5EnC_0%3D1%5D%5C%5C%5C%5C%3D1-%5Cdfrac%7B1%7D%7B27%7D%3D%5Cdfrac%7B26%7D%7B27%7D)
Hence, the probability that the traveler will be arrested for illegal possession of narcotics = 
Answer:
The area of sector AOB is 75.36 unit²
Step-by-step explanation:
Consider the provided information.
Circle O with minor arc AB=60 degrees and OA =12.
We need to find the area of sector.
Area of the sector: 
Substitute
and r =12 in above formula.




Hence, the area of sector AOB is 75.36 unit²
Answer:
Could you please put a link to the question???
Step-by-step explanation:
We can only solve the question if you give us more info about the question.