Answer:
Part 1) The exact value of the arc length is
Part 2) The approximate value of the arc length is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to
we have
substitute
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
step 3
Find the approximate value of the arc length
To find the approximate value, assume
substitute
<h3>
</h3>
X = -3
y = 3
z = 3
this is the answer i got idk if that is what you were looking for
The permutation equation is true for all integers n ≥ 3
<h3>How to prove the equation?</h3>
We have:
Apply the following permutation formula
So, we have:
Evaluate the difference
Expand
Multiply through by (n - 3)!
Expand
Divide through by n!
Take the LCM
Evaluate the like terms
Both sides of the equations are the same.
Hence, the permutation equation is true for all integers n ≥ 3
Read more about permutation at:
brainly.com/question/11732255
#SPJ1
Answer: 0.4083
Step-by-step explanation:
Let D be the event of receiving a defective television.
Given : The probability that the television is defective :-
The formula for binomial distribution :-
If two televisions are randomly selected, compute the probability that both televisions work, then the probability at least one of the two televisions does not work is given by :_
Hence , the required probability = 0.4083