Answer:
251.65 Millimeters rounded to the hundredths place.
Step-by-step explanation:
The formula for the area of a circle is A=π×r^2.
Step 1: Find r, or the radius, which is half the diameter. In this case, it is 8.95.
Step 2: Square the radius that you get. In this case, the answer is 80.1025.
Step 3: Multiply the past number by π on your calculator. Some teachers allow 3.14 but be certain that your teacher allows it. In this case, π×80.1025=251.649425534
Step 4: You've got your answer! Hope this helps!
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
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.
Answer: 6
Step-by-step explanation: 2x3=6 it’s the lowest multiple