Answer:
In a discrete probability distribution of a random variable X, the mean is equal to the sum over every possible value weighted by the probability of that value; that is, it is computed by taking the product of each possible value x of X and its probability p(x), and then adding all these products together, giving. .
Step-by-step explanation:
I really hope this helps have a wonderful day
Answer:
587.602739726
Step-by-step explanation:
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
Answer:
Area = 36 sq units
Step-by-step explanation:
An isosceles trapezoid have two triangles and probably a rectangle or a square.
To find the area, let's determine the height of the trapezoid.
The base length of one of the triangle
= (15-9))2
= 6/2 = 3
The height will be x
X /sin 45= 3 / sin 45
X= 3
The area of the trapezoid
= 1/2(a+b)h
Where a = 15
b = 9
h = 3
Area= 1/2(15+9)3
Area= 1/2 *24*3
Area= 12*3
Area = 36 sq units
Answer:
Total surface area of the cylinder=
Step-by-step explanation:
Circumference of the cylinder= 


Height of the cylinder =radius/2=3 cm
Total surface area of the cylinder =
As, 
Area of the cylinder:

The total surface area of the cylinder= 