ANSWER
Paul and Matt will take

to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is

Next, calculate Matt's rate, which is,

Let us assume that, Paul and Matt took

to do the work together.
Then, the rate of working together is,

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

Simplify the left hand side


We reciprocate both sides to get (You could have also done cross multiplication).

Answer: The answer is A.
Step-by-step explanation:
The formula for the area of circles:
A = πr^2
Plug in the radius
A = π8^2
A = π64
A = 201.06192983/ 201 (rounded)
Answer:
1q
Step-by-step explanation:
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
To get the difference between the two diameters, all you have to do is subtract the smaller diameter (Mercury) from the larger diameter (Saturn) as follows:
Difference between the two diameters =diameter of Saturn-diameter of Mercury
Difference between the two diameters = (1.2*10^5) - (4.9*10^3)
Difference between the two diameters = 115100 km