Answer:
It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.
Step-by-step explanation:
It is asking us how much does 2 one-way tickets costs as opposed to a return trip ticket. First, let's figure out how much does 2 one-way tickets cost.
Equation:
287.75 x 2 = 575.50
2 one-way tickets cost $575.50.
Then, to find the difference, subtract the return trip cost from the two one-way tickets.
Equation: 575.50 - 509.00 = 66.50
The difference between the two is $66.5
Conclusion: It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.
I hope this helps!
Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:


So


Finally

There is a 99.99998% probability that at least one valve opens.
<h2>
Answer</h2>
Distributive Property
The distributive property states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them.
<h2>Example</h2><h3>Equation </h3>
10(x + 2) = 45
Apply the distributive property to the left side of the equation by multiplying
two numbers inside the parentheses by 10
10(x) + 10(2) = 45
Now add them
10x + 20 = 45
Rearrange the like terms
10x = 45 -20
10x = 25
x = 25/10
x = 2.5
The answer should be B.
5(6.86x)
Answer:
20π sq ft ≈ 62.83 sq ft
Step-by-step explanation:
Area of table with diameter 8 ft = π*8^2/4 = 16π
Area of table with diameter 12 ft = π*12^2/4 = 36π
Difference between the area of the tables ;
= 36π - 16π
= 20π sq ft ≈ 62.83 sq ft ( π = 3.14)