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
Answer:
80
Step-by-step explanation:
7-(5-3(2+6(2^2)))
When a question has multiple signs, the rule of BODMAS is used. That is, Bracket Of Division Multiplication Addition and Subtraction. The question above will therefore be solved in that order.
The first bracket, we have 2^2
That gives 4
Rewriting the question will give
7-(5-3(2+6(4)))
The question in the next bracket will follow
(2+6(4))
In this bracket too, we have the plus sign and the multiplication sign, so the multiplication will first be solved, them addition will follow.
(2+24)
(26)
Rewriting the question again, we have
7-(5-3(26))
And then, we have the last bracket
(5-3(26))
But we have both the Subtraction sign and the Multiplication sign in this bracket also, so the multiplication will first be solved, before the Subtraction.
(5-3(26))
(5-78)
(-73)
And lastly we have
7-(-73)
7+73
80
Answer:
thanks lol
Step-by-step explanation:
You can solve all of these by using the distance formula. I have shared it below.
Answer:
15% of 40 is 6, add that up, its 46
Step-by-step explanation:
