The scale factor of dilation from AB to EF is 0.25
<h3>How to determine the scale factor of dilation?</h3>
The given parameters are:
- EFJL is dilation of ABIK
- AB has a length of 12
- EF has a length of 3
From the above parameters, side lengths AB and EF are corresponding sides
This means that:
The scale factor of dilation (k) is
k = AB/EF
So, we have
k = 3/12
Evaluate
k = 0.25
Hence, the scale factor of dilation from AB to EF is 0.25
Read more about scale factors at:
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Answer:each student will sell 9 balloons.
Step-by-step explanation:
The total number of balloons sold by the six groups at the carnival is 162. There are 3 students in each group. This means that the total number of students in the six groups would be 6 × 3 = 18 students.
If each student sells the same number of balloons, then it means that the number of balloons that each student sells will be
162/18 = 9
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






Answer:
Step-by-step explanation:
Hello,
-1 <= -1 < 0
so f(-1)=-1
0 <= 0.5 < 1
so f(0.5)=0
1 <= 1 < 2
so f(1)=1
Thank you.