Answer:
9
Step-by-step explanation:
2x+3=3x-6
6+3 = 3x - 2x
x = 9
I hope im right!!
Answer:
Step-by-step explanation:
1.

2.
cosθ+sinθ tan θ
=cosθ+sin θ×(sinθ)/(cosθ)

3.
x²+(y-6)²=35
x²+y²-12y+36=35
x²+y²-12y+1=0
put x=r cosθ
y=r sin θ
square and add
x²+y²=r²cos²θ +r² sin²θ=r² (cos² θ+sin² θ)=r²
r²-12rsinθ+1=0
Answer:
False
Step-by-step explanation:
Answer: 0.14
Step-by-step explanation:
Given: Mean : 
In minutes , Mean : 
The exponential distribution function with parameter
is given by :-
The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-
![P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14](https://tex.z-dn.net/?f=P%28X%5Cgeq0.5%29%3D1-P%28X%5Cleq0.5%29%5C%5C%5C%5C%3D1-%5Cint%5E%7B0.5%7D_%7B0%7D4e%5E%7B-4t%7Ddt%5C%5C%5C%5C%3D1-%5B-e%5E%7B-4t%7D%5D%5E%7B0.5%7D_%7B0%7D%5C%5C%5C%5C%3D1-%281-e%5E%7B-2%7D%29%3D1-0.86%3D0.14)
Hence, the probability of waiting more than 30 seconds = 0.14