Answer:
No, This is not a valid Probability Distribution
Step-by-step explanation:
Probability [Neighbour walks with Beagle] = 20%
Probability [Neighbour walks with Golden Retriever] = 70%
Probability [Neighbour walks alone] = 30%
Disjoint Events are the events that have zero probability of occurring together. If all the three above items are disjoint, it means that it can never happen that two of them happen together.
The total (summed) probability of a valid probability distribution, with disjoint sets = 1 . In given case, total probability = 0.2 + 0.7 + 0.3 = 1.2 ; i.e > 1.
So, this probability distribution with stated disjoint events is not a Valid Probability distribution.
Answer:
Step-by-step explanation:
Remark.
I take it we are only concerned with the deep lime face that we can see closest to us.
Construction
Draw one line that goes from the right of the left foot up to the 18 foot line
Draw another line that goes from the left of the right foot up to the 18 foot line.
label the width of the right foot as 18 - 6 - 6 = 6
Solution
Right foot
Area = L * w
L = 12 feet
w = 6 feet
Area = 12*6 = 72
Left foot (same area) 72
Area above the door.
Height = 12 - 6 = 6
width 6
Area = 6 * 6 = 36
Answer: Total Area = 72 + 72 + 36 = 180
To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.
Answer:
So the correct option is First one
i.e 
Step-by-step explanation:
Given:
Area of Shaded part = 9 π square feet
To Find :
Area of Circle = ?
Solution:
90 degree center angle is equivalent to an area of 9 Π square feet
So, 360 degree center is equivalent to area A which is the area of the complete circle.
So the Ratio will be
Setting the given statements in proportion:
On solving we get the required
So the correct option is First one
i.e
Alternate Method:
Shaded part is of 90°
Area of Shaded part = 9 π square feet
And Full Circle is of 360° that is 4 sector of 90°
So the correct option is First one
i.e
On solving this we get
Answer:
The value of x = 12, makes the statement 
true
Option D is correct option.
Step-by-step explanation:
What value of x makes this statement true?
We need to solve the equation to find value of x
Subtract 2x on both sides
So, the value of x is: x=12
So, The value of x = 12, makes the statement true
Option D is correct option.
