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Probability is a numerical value that represents a fraction of a whole. Since there are 4 samples indicated in row X, then there must be 4 probabilities corresponding to each. The sum of all those probabilities must equal to 1. With this information, we could already find the missing probability.
Summation of P = 1 = 0.40 + 0.20 + 0.20 + x
x = 1 - 0.4 - 0.2 - 0.2
x = 0.2 <-- missing probability
Answer:
AB = 35
Step-by-step explanation:
For the value of variable z....;
;Perimetre = 132
; 132 = 2(4z + 3) + 2(5z)
; 132 = 8z + 6 + 10z
; 132 - 6 = 8z + 10z
; 126 = 18z
;the value of...z = 7
Therefore the value of length AB;
AB = 5z...then substitute the value of z into the length of AB
; AB = 5(7)
;AB = 35
Answer

Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
Where
And it is calculated as:
From the table:
Highest = 77 and Least = 21
So:
B is calculated as:
The period is 12 i.e. 12 months
So:
C is calculated as:





Lastly, D is calculated as:
So:
So, the function is:

Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
Answer:
$15348
Step-by-step explanation:
i = prt is the simple interest equation
i = 12,000(0.031) = 372
i = 372*9 = 3348
12000+3348 = $15348