Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
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:
The probability of finding a value higher than x is:
Mean equal to 23.
This means that 
(a) P(X >10)
So
P(X > 10) = 0.6473
(b) P(X >20)
So
P(X > 20) = 0.4190
(c) P(X <30)
So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So
23 since the pattern rules is that we subtract by 3 each time
Answer:
40
Step-by-step explanation:
*this is a 90 degree triangle
so we will use Pythagorean theorem to get X
hypotenuse²=side of right triangle²+the other side of right triangle²
so
50²=30²+x²
2500=900+X²
2500-900=x²
1600=x²
x=√1600
=40
so the answer is 40
Answer: Mac made $64
Rodolfo earns $30 in 5, 30 divided by 5 equals 6. Max made $10 more so 40 divided by 5 equals 8. Since we are trying to find how much Max made in 8 days we multiply 8 by 8 and get 64.
Answer:
1 ft. = 16 in.
Step-by-step explanation:
6 ft. 8 in. is 80 in.
then you would divide 80 by 5 to get 16.
not sure what scale factor you were looking for, so i did ft. to in.
not 100% sure though
best of luck!
