Answer: 1/32
Multiple 1/4 x 1/8 to get your answer
Answer:
a) 0.0821
b) 0.0111
c) 0.0041
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

In all 3 cases, we want P(X > 5). So

In which

(a) lambda=.5


(b) lambda=0.9


(c) lambda=1.1


Just a regular pentagon has 5 sides. and also has 5 lines of symmetry.
So if a shape has 7 sides it will have 7 lines of symmetry.
Its always going to be the same number.
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We need to compute the diagonal of yhe square.
d²=7²+7²=49×2cm²
d=7×sqrt(2)=7×1.41=9.87cm.
The diagonal we just computed is the diameter of the circle that contains the square.
Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.