Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
First, we will establish that the shape of the window is a semi-circle. This means we must use the formula for the perimeter of a semi-circle to obtain the perimeter of the window.
The formula for the perimeter of a semi-circle is as follows:
Let perimeter of window or semi-circle = P
P = [ 2( Pi )r / 2 ] + 2r
Where r = radius of circle or semi-circle
From this, we will simply use the value of the radius given from the diagram in the problem and substitute it into the formula to obtain the perimeter of the window.
P = [ 2( Pi )r / 2 ] + 2r
r = 20
THEREFORE:
P = [ 2( Pi )( 20 ) / 2 ] + 2( 20 )
P = 20( Pi ) + 40
P = 102.83...cm^2
P = 102.8cm^2 ( to the nearest tenth )
FINAL ANSWER:
Therefore, the perimeter of the window is 102.8cm^2 ( to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
Step-by-step explanation:
Possible 5 minutes because 120÷3=40 , so they type 40 words per minute. Then if you do 200÷40 , it will equal 5.
Answer: 0.1340
Step-by-step explanation:
The binomial distribution formula is given by :-
, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The number of employees over 50 years of age =7
The probability of employees over 50 years of age = 
Number of dismissed employees : n= 9
Now, the required probability will be :

Thus, the probability that exactly 1 employee was over 50 = 0.1340
The number of standard deviations from the mean for a man 72 inches tall is
Z = (72 -69.3)/2.8 ≈ 0.964
Descending order...largest to smallest
the largest one is the one with the biggest exponent
so the first term is : 7z^4