Step-by-step explanation:
The question did not specify what to solve, but from the given the information, we can proceed to solve the actual dimension of the banner, and the dimension will be in feet.
the scale is given as
2ft to 1 in
And the given dimension is
3.5 in and 7.25 in
3.5 inches in actual size is 3.5*2= 7feet
7.25 inches in actual size is 7.25*2= 14.5 feet
The area of the banner can be calculated as
Area=7*14.5
Area=101.5 ft^2
Answer:
They encircle the planet 
times.
Step-by-step explanation:
Consider the provided information.
We have 2.5 mole of dust particles and the Avogadro's number is 
Thus, the number of dust particles is:
Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.
Convert the measurement in meters.
Diameter: 
If we line up the particles the distance they could cover is:
Circumference in meters:
Therefore,
Hence, they encircle the planet times.
Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Answer:
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, 
that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is 
. Rest are not in accordance with the definition of independent events.
